|
|
| Line 1: |
Line 1: |
| {{Use dmy dates|date=August 2013}}
| | Hello from Austria. I'm glad to came here. My first name is Cathleen. <br>I live in a town called Dunkenedt in south Austria.<br>I was also born in Dunkenedt 28 years ago. Married in October 2008. I'm working at the the office.<br><br>Feel free to surf to my webpage ... [http://www.spankytech.com tech] |
| {{Infobox scientist
| |
| | name = Enzo Martinelli
| |
| | image = Enzo Martinelli.jpg
| |
| | image_size =
| |
| | alt =
| |
| | caption = Enzo Martinelli around 1960
| |
| | birth_date = {{Birth date|df=yes|1911|11|11}}
| |
| | birth_place = [[Pescia]]
| |
| | death_date = {{Death date and age|df=yes|1999|08|27|1911|11|11}}<ref name="ddate"/>
| |
| | death_place = [[Rome]]
| |
| | residence =
| |
| | citizenship =
| |
| | nationality = [[Italy|Italian]]
| |
| | fields =
| |
| | workplaces = [[Università degli Studi di Genova]], [[Sapienza University of Rome|Università di Roma]]
| |
| | alma_mater = [[Sapienza University of Rome|Università degli studi di Roma "La Sapienza"]]
| |
| | doctoral_advisor = [[Francesco Severi]]
| |
| | academic_advisors = [[Enrico Bompiani]]
| |
| | doctoral_students = [[Giovanni Battista Rizza]]<br>[[Guido Lupacciolu]]
| |
| | notable_students =
| |
| | known_for = [[Several complex variables|Theory of functions of several complex variables]], [[Bochner–Martinelli formula]]
| |
| | influences =
| |
| | influenced = [[Several complex variables]]
| |
| | awards = prize of the [[Cotronei Foundation]], prize of the [[Beltrami Foundation]], [[Fubini prize]], [[Torelli prize]] (jointly with [[Pietro Buzano]]), 1943 Prize for Mathematical Sciences of the [[Ministry of National Education (Italy)|Ministry of National Education]]
| |
| | signature = <!--(filename only)-->
| |
| | signature_alt =
| |
| | footnotes =
| |
| }}
| |
| '''Enzo Martinelli''' (11 November 1911 – 27 August 1999<ref name="ddate">{{Harvtxt|Tomassini|2001|p=III}} writes that his death year is 1998, unlike to {{Harvtxt|Gallarati|2000|p=43}}, and {{Harvtxt|Rizza|2002|p=163}}, but it is probably a [[typographical error]].</ref>) was an [[Italy|Italian]] [[mathematician]], working in the [[Several complex variables|theory of functions of several complex variables]]: he is best known for his work on the theory of [[integral representation]]s for holomorphic functions of several variables, notably for discovering the [[Bochner–Martinelli formula]] in 1938, and for his work in the theory of multi-dimensional residues.
| |
| | |
| ==Biography==
| |
| | |
| ===Life===
| |
| He was born in [[Pescia]] on 11 November 1911: his father was the Director of the local [[agricultural school]].<ref>The contents of this section are mainly sourced from reference {{Harv|Rizza|2002}}.</ref> The family then went to [[Rome]], where his father ended his working career as the [[Director-general]] of the [[Italy|Italian]] [[Ministry of Public Education (Italy)|Ministry of Public Education]]. Enzo Martilnelli lived in Rome almost all of his life: the only exception was a period of nearly eight years, from 1947 to 1954, when he was in [[Genova]], working at the local [[Università degli Studi di Genova|university]].<ref>See {{Harvnb|Gallarati|2000|p=43}}, {{Harvnb|Rizza|1984|pp=1–2}} and {{Harvnb|Rizza|2002|pp=163–165}}.</ref> In 1946 he married in [[Rome]] '''Luigia Panella''', also her a [[mathematician]], who later become an [[associate professor]] at the [[Faculty (university)|faculty]] of [[Engineering]] of the [[Sapienza University of Rome]], and who was his loving companion for the rest of his life. They had a son, '''Roberto''', a daughter, '''Maria Renata''' (also her a mathematician)<ref>According to {{Harvtxt|Rizza|2002|p=165}}, she currently works as a [[research fellow]] at the [[Faculty (university)|faculty]] of [[Engineering]] of the [[Sapienza University of Rome]]</ref> and four grandchildren.<ref name="R2002165">According to {{Harvtxt|Rizza|2002|p=165}}.</ref>
| |
| | |
| ===Academic career===
| |
| In 1933 he earned his [[laurea]] from the [[Sapienza University of Rome]]: the title of his [[thesis]] was "''Sulle funzioni poligene di una e di due variabili complesse''",<ref>An [[English language|English]] [[translation]] reads as "''Polygenic functions of one and of two complex variables''".</ref> and his thesis [[Supervisor#Science|supervisor]] was [[Francesco Severi]].<ref>See reference {{Harvnb|Rizza|2002|p=163}}.</ref> From 1934 to 1946 he worked as an assistant professor first to the chair of [[mathematical analysis]] held by [[Francesco Severi]] and then to the chair of [[geometry]] held by [[Enrico Bompiani]]. In 1939 he became "Libero Docente" (free professor) of [[Mathematical analysis]]: he taught also [[Course (education)|courses]] on [[analytic geometry]], [[algebraic geometry]] and [[topology]] as [[associate professor]].<ref>See references {{Harvnb|Rizza|1984|p=1}} and {{Harvnb|Rizza|2002|p=163}}.</ref> In 1946 he won a competitive examination by a judging commission for the chair of "''Geometria analitica con elementi di Geometria Proiettiva e Geometria Descrittiva con Disegno''",<ref>According to references {{Harvnb|Gallarati|2000|p=43}} and {{Harvnb|Rizza|2002|p=163}}. An [[English Language|English]] [[translation]] reads as "''[[Analytic Geometry]] with elements of [[Projective Geometry]] and [[Descriptive Geometry]] with [[Drawing]]''".</ref> awarded by the [[University of Genova]]: the second place and the third place went respectively to [[Giovanni Dantoni]] and [[Guido Zappa]].<ref>As {{harvtxt|Zappa|1984|p=14}} himself remembers. See also the official communication in the {{Harvnb|Bollettino UMI|1947|p=85}}, where all the winners of the chairs are listed, irrespectively of their placement.</ref> Martinelli held that chair from 1946 to 1954, teaching also [[mathematical analysis]], [[function theory]], [[differential geometry]]<ref name="R2002165"/> and algebraic analysis<ref>According to {{Harvnb|Gallarati|p=43}}: this topic is not the modern [[algebraic analysis]] founded by [[Mikio Sato]], [[Masaki Kashiwara]] and collaborators, but an old standard [[Italia]]n course topic in mathematics.</ref> as [[associate professor]]. In 1954 He went back in [[Rome]] to the chair of [[Geometry]] at the [[Sapienza University of Rome|university]], holding that chair up to his [[retirement]], in 1982: he also taught courses on [[topology]], [[higher mathematics]], [[higher geometry]] upon charge. In the years 1968-1969, during a very difficult period for the [[Sapienza University of Rome]],<ref>It was the season of the [[protests of 1968]]: a few more detail about Martinelli's work during this season can be find in the section describing [[Enzo Martinelli#Tracts of his personality|his personality]].</ref> he served the university as the director of the [[Guido Castelnuovo]] Institute of Mathematics.
| |
| | |
| He attended to various [[Academic conference|conferences]] and [[meeting]]s. In 1943 and in 1946 he was invited in Zurich by [[Rudolf Fueter]], in order to present his researches: later and during all his career he lectured in almost all [[Italia]]n and foreign [[University|universities]].<ref>According to {{Harvtxt|Rizza|2002|p=165}}: [[Giovanni Battista Rizza|Rizza]] also lists a few foreign universities where Martinelli lectured.</ref>
| |
| | |
| He was also a member of the [[Unione Matematica Italiana|UMI]] Scientific Commission (from 1967 to 1972), of the [[editorial board]]s of the [http://www.mat.uniroma1.it/ricerca/rendiconti/ Rendiconti di Matematica e delle Sue Applicazioni] (from 1955 to 1992) and of the [http://www.springerlink.com/content/108198/179/1/ Annali di Matematica Pura ed Applicata] (from 1965 to 1999).<ref>See {{Harvnb|Rizza|2002|pp=165–166}}.</ref>
| |
| | |
| ===Honours===
| |
| According to {{Harvtxt|Rizza|2002|p=165}}, Enzo's talent for [[mathematics]] was already evident when he was only a [[lyceum]] [[student]]. While still attending the [[university]], he won the [[Cotronei Foundation]] prize, and after earning his [[laurea]], the [[Beltrami Foundation]] prize, the [[Fubini prize|Fubini]] and [[Torelli prize]]s (this last one jointly with [[Pietro Buzano]]) and the Prize for Mathematical Sciences of the [[Ministry of National Education (Italy)|Ministry of National Education]]: this last one was awarded him in 1943, and the judging commission consisted of [[Francesco Severi]] (as the [[president]] of the commission), [[Ugo Amaldi]]<ref>Ugo was a noted [[Italia]]n [[mathematician]], a collaborator of [[Tullio Levi-Civita]] and [[Federigo Enriques]], and the father of noted [[physicist]] [[Edoardo Amaldi]].</ref> and [[Antonio Signorini]] (as the [[Supervisor#Science|supervisor]] of the commission).<ref>See the inventory of the [[Reale Accademia d'Italia]] by {{Harvtxt|Cagiano De Azevedo|Gerardi|2005|p=113}}: this reference lists and briefly describes the contents of the documents of [[fascicle (book)|fascicle]] 207 of box (Busta) 104 of section VII, titled "Premi di Incoraggiamento e Sussidi (Encouragement Prizes and Grants)".</ref>
| |
| In 1948 he was elected [[Corresponding Member]] of the [http://www.istituticulturali.it/moduli/istcult/istituto.jsp?s=2&idIstituto=312 Accademia Ligure di Scienze e Lettere]:<ref>There is a discrepancy in the date of election reported by {{Harvtxt|Gallarati|2000|p=43}} (1948) and {{Harvtxt|Rizza|2002|p=165}} (1986): however, [[Dionisio Gallarati]] published his commemoration of Martinelli in the [[Academic journal|journal]] (Atti) of this [[Academy]], and therefore his date is reasonably believed to be correct.</ref> in 1961 and in 1977 he was elected respectively [[Corresponding Member|Corresponding]] and [[Academician|Full Member]] of the [[Accademia dei Lincei]], and from 1982 to 1985 he was "''Professore Linceo''".<ref>See {{harvnb|Rizza|2002|p=165}}: the "''Professore linceo''" is a [[professor]] which is in charge to the [[Accademia dei Lincei]] as a distinguished lecturer.</ref> Finally, in 1980 he was elected [[Corresponding Member]] of the [[Accademia delle Scienze di Torino]] and then, in 1994, [[Academician|Full Member]]. Also, in 1986, the [[Sapienza University of Rome]], to which Enzo Martinelli was particularly tied for all his life,<ref name="R2002165"/> awarded him the title of [[professor emeritus]].
| |
| | |
| ===Tracts of his personality===
| |
| He is unanimously remembered as a real [[gentleman]],<ref>See {{Harvtxt|Gallarati|2000|p=45}} and {{Harvtxt|Tomassini|2001|p=IV}}: the exact [[Italian language|Italian word]] they use to characterize him is ''signorilità'', which is somewhat untranslatable in its exact meaning.</ref> gifted by a caring attention, politeness, generosity and the rare ability to listen to [[colleague]]s and [[student]]s alike:<ref name="Rizza02p166">See {{harvnb|Rizza|2002|p=166}}.</ref> {{harvtxt|Gallarati|2000|p=45}} and {{harvtxt|Rizza|1984|p=6}} remember long conversations with him on various mathematical research topics,<ref>They mean "''mathematical research''" in a broad sense: {{harvtxt|Rizza|1984|p=2}} precisely states that Martinelli was interested in all fields of mathematics, not only the ones within his personal research interest.</ref> and his disposability to give help and advice to whoever asked for it. In particular {{harvtxt|Rizza|1984|p=7}} recalls the time when he was his doctoral student at the [[University of Genova]]: they meet every Sunday in the afternoon at Martinelli's home, since Martinelli was not able to meet him during the week. During one of their meetings, lasting a little more than two hours, Martinelli taught him [[Élie Cartan]]'s theory of [[exterior differential form]]s, and Rizza used successfully this tool in his first research works.<ref>See {{harvtxt|Rizza|1984|p=7}} and the entry about him for more details.</ref> Another episode illustrating this aspect of Martinelli's personality is recalled by [[Gaetano Fichera]].<ref>Fichera sketches the episode in his "last lesson" {{Harv|Fichera|1995|pp=18–19}}: see also {{Harvnb|Colautti Fichera|2006|p=21}} and the entry about Gaetano Fichera for further information.</ref> When he was back in Rome in 1945, at the end of the [[Second World War]], he exposed to Martinelli a theory identical to the theory of differential form: he developed it while being prisoner of the [[nazist]]s in [[Teramo]] during wartime. Martinelli, very tactfully,<ref>According to {{Harvtxt|Fichera|1995|pp=18}} himself.</ref> told him that the idea was already been developed by [[Élie Cartan]] and [[Georges de Rham]].
| |
| | |
| An excellent teacher himself, capable to arose curiosity and enthusiasm by his lessons,<ref name="Rizza02p166" /><ref>Some information on his teaching commitment can be found in the "[[Enzo Martinelli#Teaching activity|Teaching activity]]" section of this entry.</ref> he admired and respected much his own:<ref name="p7">According to {{harvnb|Rizza|1984|p=7}}.</ref> however, this was quite common for the [[Italy|Italian]] [[scientist]]s of the same and the preceding generations, who were advised in the early days of their scientific career by some of the best Italian scientists ever.<ref>See the entries about Italian [[mathematician]]s and [[physicist]]s of that period, for example the entries about [[Renato Caccioppoli]], [[Gaetano Fichera]], [[Francesco Severi]].</ref> His [[doctoral advisor]] was [[Francesco Severi]]: other great [[Italy|Italian]] [[mathematician]]s where among his teachers. [[Guido Castelnuovo]], [[Federigo Enriques]], [[Enrico Bompiani]], [[Tullio Levi-Civita]] [[Mauro Picone]] and [[Antonio Signorini]] were all working at the [[Sapienza University of Rome]] when Enzo Martinelli was a student there, following their lessons: {{harvtxt|Zappa|1984}} describes the activity of the institute of mathematics during that period as extremely stimulating.<ref>See also the description sketched by {{harvnb|Rizza|2002|p=166}}.</ref>
| |
| | |
| Another central aspect of his personality was a deep sense of [[justice]] and [[legality]]:<ref name="R2002165"/> Martinelli was very careful in performing his [[citizen]] and [[university]] [[professor]] duties, and he was also ready to fight for his own rights and for the needs of higher education. Concerned by the growing interference of [[bureaucracy]] in university education, already in the 1950s he was heard by {{Harvtxt|Rizza|1984|p=6}} complaining that: "''In Italia mancano le menti semplificatrici''".<ref>"''Italy lacks of simplifying minds''"An [[Italian language|Italian]] [[translation]].</ref> Martinelli was also free from every kind of [[authoritarianism]] to the point that when, during the [[protests of 1968]] in Italy, many [[newspaper]]s accused the Italian university scientific community of being so, all the [[assistant professor]]s and [[student]]s of Martinelli (and perhaps Martinelli himself) were perplexed.<ref name="concern">According to {{harvtxt|Rizza|1984|p=6}}.</ref> In the same period, while performing his duties as the director of the [[Guido Castelnuovo]] Institute of Mathematics at the Sapienza university of Rome, his rare [[intellectual honesty]]<ref>According to {{harvtxt|Gallarati|2000|p=45}} and to {{harvtxt|Rizza|2002|p=172}}.</ref> and rigorous rationality, according to [[Giovanni Battista Rizza|Rizza]], caused him troubles when dealing with many who "''believed in everything except the cold light of [[reason]]''".<ref>"''... che in tutto credevano salvo nella fredda luce della ragione.''", as precisely stated by {{harvtxt|Rizza|1984|p=7}}.</ref>
| |
| | |
| == Work ==
| |
| | |
| ===Research activity===
| |
| {{quote
| |
| |text= Fin troppo meticoloso, scriveva più volte ogni suo lavoro, curandone fin nei minimi particolari sostanza e forma, fino a renderli di piacevole lettura. È difficile trovare nei suoi scritti un concetto che possa essere espresso in modo migliore.<ref>An English translation reads as:-"''Too much meticulous, he rewrote many times each of his works, curing every detail of their content and form, up to make them pleasant to read. It is difficult to find in his writing a concept that could be expressed in better way.''".</ref>
| |
| |sign= [[Dionisio Gallarati]]
| |
| |source= {{Harv|Gallarati|2000|p=45}}.
| |
| }}
| |
| | |
| He is the author of more than 50 research works, the first of which was published when Martinelli still was an undergraduate student:<ref>According to {{harvnb|Rizza|1984|p=2}}.</ref> precisely, his research production consist of 47 papers and 30 between [[treatise]]s, [[textbook]]s and various other publications.<ref name="publist">For a complete list of his works, classified between research notes and [[memoir]]s or [[treatise]]s, textbooks and various writings, see the paper {{Harvnb|Rizza|2002|pp=172–176}}: a strictly shorter, chronologically ordered list appears also in the paper {{harvtxt|Rizza|1984|pp=8–10}}.</ref> According to {{harvtxt|Rizza|1984|p=2}}, his research personality can be described by two words: "''[[enthusiasm]]''" and "''[[dissatisfaction]]''":<ref>Precisely, {{Harvtxt|Rizza|1984|p=2}} states the words "''entusiasmo''" e "''insoddisfazione''".</ref> enthusiasm is meant as his steady interest in [[mathematics]] at all levels, while dissatisfaction is meant as the desire to going deeper into all mathematical problems investigated, without stopping at first success and expressing all the results in a simple, elegant and essential form.
| |
| | |
| ===Teaching activity===
| |
| The aspects of his personality described before and his deep professional commitment also made him a great teacher:<ref>See references {{Harvnb|Rizza|1984|p=6}} and {{Harvnb|Rizza|2002|p=172}}.</ref> at least fifteen [[textbook]]s on [[geometry]], [[topology]], [[complex analysis]]<ref name="publist"/> testify his didactic activity.<ref name="concern"/> Those books appear as models of clarity and [[mathematical rigour]],<ref>{{harvtxt|Gallarati|2000|p=45}} particularly praises this way the various [[geometry]] lecture notes redacted by Martinelli himself.</ref> and also offer insights on more complex theories and problems to the clever student: indeed, it was one of Martinelli's concerns to teach mathematics showing its lively development and its attractiveness in term of interesting difficult problems offered, in order that no gifted student would abandon the idea to do mathematical research.<ref name="concern"/>
| |
| | |
| ==Publications==
| |
| *{{Citation
| |
| | last1=Martinelli
| |
| | first1=Enzo
| |
| | author-link=
| |
| | title=Alcuni teoremi integrali per le funzioni analitiche di più variabili complesse
| |
| | language = Italian
| |
| | year=1938
| |
| | journal=Memorie della Reale Accademia d'Italia
| |
| | volume=9
| |
| | pages=269–283
| |
| | id=
| |
| | jfm= 64.0322.04
| |
| | zbl = 0022.24002
| |
| }}. This is the first paper where the now called [[Bochner-Martinelli formula]] is introduced and proved: an English translation of the title reads as:-"''Some integral theorems for analytic functions of several complex variables''".
| |
| *{{Citation
| |
| | last = Martinelli
| |
| | first = Enzo
| |
| | author-link =
| |
| | title = Sopra una dimostrazione di R. Fueter per un teorema di Hartogs
| |
| | language = Italian
| |
| | journal = [[Commentarii Mathematici Helvetici]]
| |
| | volume = 15
| |
| | issue = 1
| |
| | pages = 340–349
| |
| | year = 1942-1943
| |
| | url = http://retro.seals.ch/digbib/en/view?rid=comahe-002:1942-1943:15::26
| |
| | doi = 10.5169/seals-14896
| |
| | id =
| |
| | mr = 0010729
| |
| | zbl = 0028.15201
| |
| }}. Available at the [http://retro.seals.ch/digbib/home SEALS Portal]. In this paper Martinelli gave a proof of [[Hartogs' extension theorem]] by using the [[Bochner-Martinelli formula]]. An English translation of the title reads as:-"''On a proof of R. Fueter of a theorem of Hartogs''".
| |
| *{{Citation
| |
| | last1=Martinelli
| |
| | first1=Enzo
| |
| | author-link=
| |
| | title=Sulla formula di Cauchy {{math|''n''}}–dimensionale e sopra un teorema di Hartogs nella teoria delle funzioni di {{math|''n''}} variabili complesse
| |
| | language = Italian
| |
| | year=1944-1945
| |
| | journal=[[Commentarii Mathematici Helvetici]]
| |
| | volume=17
| |
| | number = 1
| |
| | pages=201–208
| |
| | url=http://retro.seals.ch/digbib/view?rid=comahe-002:1944-1945:17::13&id=hitlist
| |
| | doi= 10.5169/seals-16336
| |
| | id=
| |
| | mr= 0013422
| |
| | zbl= 0060.24404
| |
| }}. Available at the [http://retro.seals.ch/digbib/home SEALS Portal]. An English translation reads as:-"''On the {{math|n}}–dimensional Cauchy formula and on a theorem of Hartogs in the theory of functions of {{math|n}} complex variables''".
| |
| *{{Citation
| |
| | last = Martinelli
| |
| | first = Enzo
| |
| | author-link =
| |
| | title = Formula di Cauchy {{math|(''n''+1)}}–dimensionale per le funzioni analitiche di {{math|''n''}} variabili complesse
| |
| | language = Italian
| |
| | journal = [[Commentarii Mathematici Helvetici]]
| |
| | volume = 18
| |
| | issue = 1
| |
| | pages = 30–41
| |
| | year = 1945-1946
| |
| | url = http://retro.seals.ch/digbib/en/view?rid=comahe-002:1945-1946:18::62
| |
| | doi = 10.5169/seals-16891
| |
| | id =
| |
| | mr = 0013423
| |
| | zbl = 0060.24501
| |
| }}, (in [[Italian language|Italian]]). Available at the [http://retro.seals.ch/digbib/home SEALS Portal]. In this paper Martinelli goes further in its analysis of [[integral representation]]s of [[holomorphic function]]s of [[several complex variables|{{math|''n''}} complex variables]] whose [[Integral|domain of integration]] is a [[Set (mathematics)|set]] whose [[dimension]] (as a [[subset]] of the [[Euclidean space|{{math|2''n''}}–dimensional euclidean space]]) assumes all [[Integer|integer values]] between {{math|''n''}} and {{math|2''n''-1}}. An English translation reads as:-"{{math|(''n''+1)}}''–dimensional Cauchy formula for analytic functions of {{math|n}} complex variables''".
| |
| *{{Citation
| |
| | last = Martinelli
| |
| | first = Enzo
| |
| | author-link =
| |
| | title = Sulle estensioni della formula integrale di Cauchy alle funzioni analitiche di più variabili complesse
| |
| | language = Italian
| |
| | journal = [http://www.springerlink.com/content/108198/ Annali di Matematica Pura e Applicata]
| |
| | series = IV Serie
| |
| | volume = 34
| |
| | pages = 277–347
| |
| | year = 1953
| |
| | url = http://www.springerlink.com/content/6541474322583152/
| |
| | doi = 10.1007/BF02415334
| |
| | id =
| |
| | mr = 0057989
| |
| | zbl = 0104.30203
| |
| }}. The concluding work of Martinelli on the theory of [[integral representation]]s of [[holomorphic function]]s of [[several complex variables|<math>n</math> complex variables]]. An English title reads as:-"''On the extensions of Cauchy's integral formula to analytic functions of several complex variables''".
| |
| *{{Citation
| |
| | last = Martinelli
| |
| | first = Enzo
| |
| | author-link =
| |
| | title = Sulla determinazione di una funzione analitica di più variabili complesse in un campo, assegnatane la traccia sulla frontiera
| |
| | language = Italian
| |
| | journal = [http://www.springerlink.com/content/108198/ Annali di Matematica Pura e Applicata]
| |
| | series = IV Serie
| |
| | volume = 55
| |
| | pages = 191–202
| |
| | year = 1961
| |
| | url = http://www.springerlink.com/content/6541474322583152/
| |
| | doi = 10.1007/BF02412084
| |
| | id =
| |
| | mr = 0170032
| |
| | zbl = 0104.30203
| |
| }}. This paper contains Martinelli's improvement of the solution of the [[Dirichlet problem]] for [[holomorphic function]]s of [[several complex variables]] given by {{harvtxt|Fichera|1957}} few years before: Martinelli relaxes the [[Smooth function|smoothness condition]] on the [[Boundary (topology)|boundary]] of the given domain, requiring it to be only of [[Smooth function#Differentiability classes|class C<sup>1</sup>]]. However, the [[boundary value]] is required to be of the same class, far smoother than [[Sobolev spaces|class H<sup>½</sup>]] data allowed by [[Gaetano Fichera]]
| |
| *{{Citation
| |
| | last = Martinelli
| |
| | first = Enzo
| |
| | author-link =
| |
| | title = Introduzione elementare alla teoria delle funzioni di variabili complesse con particolare riguardo alle rappresentazioni integrali
| |
| | language = Italian
| |
| | place = Rome
| |
| | publisher = [[Accademia Nazionale dei Lincei]]
| |
| | year = 1984
| |
| | series = Contributi del Centro Linceo Interdisciplinare di Scienze Matematiche e Loro Applicazioni
| |
| | volume = 67
| |
| | pages = 236+II
| |
| | url = http://www.lincei.it/pubblicazioni/catalogo/volume.php?lg=e&rid=33233
| |
| | doi =
| |
| | id =
| |
| | isbn =
| |
| }}. The notes of a course, published by the [[Accademia Nazionale dei Lincei]], taught when he was in charge to the academy as a "''Professore Linceo''". An English translation of the title reads as:-"''Elementary introduction to the theory of functions of complex variables with particular regard to integral representations''".
| |
| | |
| == See also ==
| |
| *[[Almost complex manifold]]
| |
| *[[Bochner–Martinelli formula]]
| |
| *[[Complex manifold]]
| |
| *[[Kähler manifold]]
| |
| *[[Pluriharmonic function]]
| |
| *[[Residue theorem]]
| |
| *[[Several complex variables]]
| |
| | |
| ==Notes==
| |
| {{reflist|30em}}
| |
| | |
| == Biographical references ==
| |
| *{{Citation
| |
| | last = Bollettino UMI
| |
| | first =
| |
| | author-link = Unione Matematica Italiana
| |
| | title = Notizie (Notices)
| |
| | language = Italian
| |
| | journal = [[Bollettino dell'Unione Matematica Italiana]]
| |
| | series = Serie III
| |
| | volume = 2
| |
| | issue = 1
| |
| | pages = 81–92
| |
| | year = 1947
| |
| | month =
| |
| | url = http://www.bdim.eu/item?id=BUMI_1947_3_2_1_81_0
| |
| | doi =
| |
| | id =
| |
| | mr =
| |
| | zbl =
| |
| }}.
| |
| *{{Citation
| |
| | editor-last = Cagiano De Azevedo
| |
| | editor-first = Paola
| |
| | editor2-last = Gerardi
| |
| | editor2-first = Elvira
| |
| | title = Reale Accademia d’Italia. Inventario dell’archivio (Inventary of the Archive)
| |
| | place = Roma
| |
| | publisher = [http://www.archivi.beniculturali.it/ Ministero per i Beni Culturali e Ambientali - Dipartimento per i Beni Archivistici e Librari - Direzione Generale per gli Archivi]
| |
| | year = 2005
| |
| | language = [[Italian language|Italian]]
| |
| | series = Pubblicazioni degli Archivi di Stato - Strumenti
| |
| | volume = CLXVII
| |
| | pages = lxxxiv+492
| |
| | url = http://www.archivi.beniculturali.it/archivi/pdf.php?file=Strumenti/Strumenti_CLXVII.pdf
| |
| | doi =
| |
| | id =
| |
| | isbn = 88-7125-264-0
| |
| }}, freely available from the [http://www.archivi.beniculturali.it/ Ministero per i Beni Culturali e Ambientali - Dipartimento per i Beni Archivistici e Librari - Direzione Generale per gli Archivi] (a branch of the [[Italia]]n [[Ministero per i Beni e le Attività Culturali]]). The complete inventary of the [[Reale Accademia d'Italia]], which incorporated the [[Accademia Nazionale dei Lincei]] between 1939 and 1944.
| |
| *{{Citation
| |
| | last = Colautti Fichera
| |
| | first = Matelda
| |
| | author-link =
| |
| | title = ... ed è subito sera... La lunga, brevissima vita di Gaetano Fichera
| |
| | place = [[Rome|Roma]]
| |
| | publisher = [[Self-published]]
| |
| | language = [[Italian language|Italian]]
| |
| | date = December 2006
| |
| | pages = 217
| |
| }}. The story of the life of [[Gaetano Fichera]] written by his wife, Matelda Colautti Fichera. The first, untranslated phrase of the title is the last verse (and title) of a famous poem of [[Salvatore Quasimodo]], and was the concluding phrase of the last lesson of Fichera, in the occasion of his retirement from university teaching in 1992, published in {{Harv|Fichera|1995}}. An English translation of the second phrase reads as:"''The long, extremely short life of Gaetano Fichera''".
| |
| *{{citation
| |
| | last = Fichera
| |
| | first = Gaetano
| |
| | author-link = Gaetano Fichera
| |
| | title = L'ultima lezione
| |
| | language = Italian
| |
| | journal = [[Rendiconti della Accademia Nazionale delle Scienze detta dei XL, Memorie di Matematica e Applicazioni]]
| |
| | volume = 19
| |
| | issue = 1
| |
| | year = 1995
| |
| | pages = 1–24
| |
| | url= http://www.accademiaxl.it/Biblioteca/Pubblicazioni/browser.php?VoceID=2643
| |
| | id=
| |
| | mr= 1387547
| |
| | zbl= 0949.01011
| |
| }}. The "''Last Lesson''" of the course of higher analysis by [[Gaetano Fichera]], before his retirement from university teaching in 1992.
| |
| *{{Citation
| |
| | last = Gallarati
| |
| | first = Dionisio
| |
| | author-link = Dionisio Gallarati
| |
| | title = Enzo Martinelli
| |
| | language = Italian
| |
| | journal = Atti della Accademia Ligure di Scienze e Lettere
| |
| | series = Serie VI
| |
| | volume = II
| |
| | pages = 43–46
| |
| | year = 2000
| |
| | id =
| |
| | mr = 1826907
| |
| | zbl = 1159.01329
| |
| }}.
| |
| *{{Citation
| |
| | last = Rizza
| |
| | first = Giovanni Battista
| |
| | author-link = Giovanni Battista Rizza
| |
| | title = Enzo Martinelli: Scienziato e Maestro
| |
| | language = Italian
| |
| | journal = [[Rivista di Matematica della Università di Parma]]
| |
| | series = (4)
| |
| | volume = 10<sup>*</sup>
| |
| | pages = 1–10
| |
| | year = 1984
| |
| | url =
| |
| | doi =
| |
| | id =
| |
| | mr = 0777308
| |
| | zbl = 0557.01011
| |
| }}. "''Enzo Martinelli: Scientist and Master''" (English translation of the title) is a celebratory article written by his first former doctoral student, published in the [[proceedings]] of the conference {{harv|Rizza|Succi|1984}}.
| |
| *{{Citation
| |
| | last = Rizza
| |
| | first = Giovanni Battista
| |
| | author-link = Giovanni Battista Rizza
| |
| | title = Scomparsa di Enzo Martinelli
| |
| | language = Italian
| |
| | journal = [[Notiziario dell'Unione Matematica Italiana]]
| |
| | volume = XXVI
| |
| | issue = 10
| |
| | pages = 36–37
| |
| |date=October 1999
| |
| | url =
| |
| | doi =
| |
| | id =
| |
| | mr =
| |
| | zbl =
| |
| }}. The "''Passing away of Enzo Martinelli''" (English translation of the title) written by his first doctoral student.
| |
| *{{Citation
| |
| | last = Rizza
| |
| | first = Giovanni Battista
| |
| | author-link = Giovanni Battista Rizza
| |
| | title = Commemorazione di Enzo Martinelli
| |
| | language = Italian
| |
| | journal = [[Bollettino dell'Unione Matematica Italiana|Bollettino dell'Unione Matematica Italiana. Sezione A. La Matematica nella Società e nella Cultura]]
| |
| | series = Serie VIII
| |
| | volume = 5-A
| |
| | pages = 163–176
| |
| |date=April 2002
| |
| | url = http://www.bdim.eu/item?id=BUMI_2002_8_5A_1_163_0
| |
| | doi =
| |
| | id =
| |
| | mr = 1924344
| |
| | zbl = 1194.01133
| |
| }}. The "''Commemoration of Enzo Martinelli''" written by his first doctoral student.
| |
| *{{Citation
| |
| | last = Roghi
| |
| | first = G.
| |
| | author-link = Gino Roghi
| |
| | title = Materiale per una storia dell'Istituto Nazionale di Alta Matematica dal 1939 to 2003.
| |
| | journal = [[Bollettino dell'Unione Matematica Italiana|Bollettino dell'Unione Matematica Italiana, Sezione A, La Matematica nella Società e nella Cultura]]
| |
| | series = Serie VIII
| |
| | volume = 8-A
| |
| | issue = 3, parte 2
| |
| | pages = x+301
| |
| |date=December 2005
| |
| | language = Italian
| |
| | url =
| |
| | doi =
| |
| | mr = 2225078
| |
| | zbl = 1089.01500
| |
| }}. This is a [[monograph]]ic [[Serial (literature)|fascicle]] published on the "Bollettino dell'Unione Matematica Italiana", describing the history of the [[Istituto Nazionale di Alta Matematica Francesco Severi]] from its foundation in 1939 to 2003: an English [[translation]] of the title reads as:-"''Materials toward a history of the Istituto Nazionale di Alta Matematica from 1939 to 2003''". It was written by [[Gino Roghi]] and includes a presentation by Salvatore Coen and a preface by [[Corrado De Concini]]. It is almost exclusively based on [[Information source|sources]] from the institute archives: the wealth and variety of materials included, jointly with its [[Addendum#In books|appendices]] and [[Index (publishing)|indexes]], make this monograph a useful reference not only for the history of the [[institute]] itself, but also for the history of many [[mathematician]]s who taught or followed the institute courses or simply worked there.
| |
| *{{Citation
| |
| | last = Tomassini
| |
| | first = Giuseppe
| |
| | author-link = Giuseppe Tomassini
| |
| | title = Ricordo di Enzo Martinelli
| |
| | language = Italian
| |
| | journal = [[Annali di Matematica Pura ed Applicata]]
| |
| | series = Serie 4
| |
| | volume = 179
| |
| | issue = 1
| |
| | pages = III–IV
| |
| |date=December 2001
| |
| | url = http://www.springerlink.com/content/m112131561416230/
| |
| | doi = 10.1007/BF02505944
| |
| | id =
| |
| | zbl = 1128.01309
| |
| }}. "''Recollections of Enzo Martinelli''": personal reminiscences about his [[geometry]] teacher Enzo Martinelli, by [[Giuseppe Tomassini]].
| |
| *{{Citation
| |
| | last = Zappa
| |
| | first = Guido
| |
| | author-link = Guido Zappa
| |
| | title = La scuola matematica di Francesco Severi intorno al 1940
| |
| | language = Italian
| |
| | journal = [[Rivista di Matematica della Università di Parma]]
| |
| | series = (4)
| |
| | volume = 10<sup>*</sup>
| |
| | pages = 11–14
| |
| | year = 1984
| |
| | url =
| |
| | doi =
| |
| | id =
| |
| | mr = 0777309
| |
| | zbl = 0562.01015
| |
| }}. The English translation of the title of this work is:-"''The mathematical school of Francesco Severi around 1940''". It describes the research activity at the [[Sapienza University of Rome]] and at the (at that time newly created) "[[Istituto Nazionale di Alta Matematica Francesco Severi]]" from the end of the 1930s to the early 1940s.
| |
| | |
| == References ==
| |
| *{{Citation
| |
| | last = Fichera
| |
| | first = Gaetano
| |
| | author-link = Gaetano Fichera
| |
| | title = Caratterizzazione della traccia, sulla frontiera di un campo, di una funzione analitica di più variabili complesse
| |
| | language = Italian
| |
| | journal = Rendiconti della [[Accademia Nazionale dei Lincei]], Classe di Scienze Fisiche, Matematiche e Naturali
| |
| | series = 8
| |
| | volume = 22
| |
| | issue = 6
| |
| | pages = 706–715
| |
| | year = 1957
| |
| | mr = 0093597
| |
| | zbl = 0106.05202
| |
| }}. An epoch-making paper in the theory of [[CR-function]]s, where the Dirichlet problem for [[Several complex variables|analytic functions of several complex variables]] is solved for general data. An English translation of the title reads as:-"''Characterization of the trace, on the boundary of a domain, of an analytic function of several complex variables''".
| |
| *{{Citation
| |
| | last = Severi
| |
| | first = Francesco
| |
| | author-link = Francesco Severi
| |
| | title = Lezioni sulle funzioni analitiche di più variabili complesse – Tenute nel 1956–57 all'[[Istituto Nazionale di Alta Matematica]] in [[Rome|Roma]]
| |
| | language = Italian
| |
| | place = Padova
| |
| | publisher = CEDAM – Casa Editrice Dott. Antonio Milani
| |
| | year = 1958
| |
| | pages = XIV+255
| |
| | url =
| |
| | doi =
| |
| | id =
| |
| | zbl= 0094.28002
| |
| | isbn = }}, (in [[Italian language|Italian]]). Notes from a course held by Francesco Severi at the [[Istituto Nazionale di Alta Matematica]] (which at present bears his name), containing appendices of Enzo Martinelli, [[Giovanni Battista Rizza]] and [[Mario Benedicty]]. An English translation of the title reads as:-"''Lectures on analytic functions of several complex variables – Lectured in 1956–57 at the Istituto Nazionale di Alta Matematica in Rome''".
| |
| | |
| == External links ==
| |
| *{{Citation
| |
| | editor-last = Marchiafava
| |
| | editor-first = S.
| |
| | editor2-last = Piccinni
| |
| | editor2-first = P.
| |
| | editor3-last = Pontecorvo
| |
| | editor3-first = M.
| |
| | title = Proceedings of the Second Meeting on Quaternionic Structures in Mathematics and Physics. Dedicated to the Memory of André Lichnerowicz and Enzo Martinelli (Roma, Italy September 6–10, 1999)
| |
| | publisher = [[European Mathematical Society]]
| |
| | date =
| |
| | year = 1999
| |
| | url = http://www.emis.de/proceedings/QSMP99/index.html
| |
| | id =
| |
| | zbl = 0958.00032
| |
| | accessdate = 1 January 2011
| |
| }}. The electronic proceedings of a conference on topics belonging to or related to [[André Lichnerowicz]] and Enzo Martinelli fields of research.
| |
| *{{Citation
| |
| | last =
| |
| | first =
| |
| | author-link =
| |
| | contribution = Martinèlli, Enzo
| |
| | title = [[Enciclopedia Treccani]]
| |
| | language = Italian
| |
| | date =
| |
| | year = 2008
| |
| | url = http://www.treccani.it/enciclopedia/enzo-martinelli/
| |
| | accessdate = April 13, 2011}}. The biographical entry about Enzo Martinelli the [[Enciclopedia Treccani]].
| |
| *{{Citation
| |
| | editor-last = Rizza
| |
| | editor-first = G.B.
| |
| | editor-link = Giovanni Battista Rizza
| |
| | editor2-last = Succi
| |
| | editor2-first = F.
| |
| | title = Convegno Internazionale in onore di ENZO MARTINELLI – Roma, 30 MAGGIO - 1 GIUGNO 1983
| |
| | journal = [http://www.math.unipr.it/~rivista/ Rivista di Matematica della Università di Parma]
| |
| | series = (4)
| |
| | volume = 10<sup>*</sup>
| |
| | year = 1984
| |
| | url = http://www.math.unipr.it/~rivista/dati/INDICI/indspe84.html
| |
| | doi =
| |
| | id =
| |
| }}. The proceedings of the "''International Meeting in honour of ENZO MARTINELLI – Rome, 30 May – 1 June 1983''", an international conference in his honour organized by M. Bruni, [[Gaetano Fichera|G. Fichera]], S. Marchiafava, [[Giovanni Battista Rizza|G. B. Rizza]] e F. Succi, published in the "[[Rivista di Matematica della Università di Parma]]" journal: the papers {{harv|Rizza|1984}} and {{harv|Zappa|1984}} are taken from them.
| |
| | |
| {{Authority control|VIAF=54221837}}
| |
| | |
| {{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. -->
| |
| | NAME = Martinelli, Enzo
| |
| | ALTERNATIVE NAMES =
| |
| | SHORT DESCRIPTION = Italian mathematician
| |
| | DATE OF BIRTH = 11 November 1911
| |
| | PLACE OF BIRTH = [[Pescia]]
| |
| | DATE OF DEATH = 27 August 1999
| |
| | PLACE OF DEATH = [[Rome]]
| |
| }}
| |
| {{DEFAULTSORT:Martinelli, Enzo}}
| |
| [[Category:1911 births]]
| |
| [[Category:1999 deaths]]
| |
| [[Category:People from Pescia]]
| |
| [[Category:20th-century Italian mathematicians]]
| |
| [[Category:Geometers]]
| |
| [[Category:Mathematical analysts]]
| |