Enzo Martinelli
Enzo Martinelli | |
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Italian | |
| Alma mater | Università degli studi di Roma "La Sapienza" |
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| Scientific career | |
| Institutions |
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| Doctoral advisor | Francesco Severi |
| Other academic advisors | Enrico Bompiani |
| Doctoral students | |
Enzo Martinelli (11 November 1911 – 27 August 1999theory of functions of several complex variables: he is best known for his work on the theory of integral representations 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
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, and a daughter, Maria Renata, who later followed her parents footsteps becoming also her a mathematician:[5] four grandchildren completed their family.[6]
Academic career
In 1933 he earned his
higher mathematics, higher geometry upon charge. In the years 1968–1969, during a very difficult period for the Sapienza University of Rome,[13] he served the university as the director of the Guido Castelnuovo
Institute of Mathematics.
He attended various
Italian and foreign universities.[14]
He was also a member of the
UMI Scientific Commission (from 1967 to 1972), of the editorial boards of the Rendiconti di Matematica e delle sue Applicazioni (from 1955 to 1992) and of the Annali di Matematica Pura ed Applicata (from 1965 to 1999).[15]
Honors
According to
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[16] and Antonio Signorini (as the supervisor of the commission).[17]
In 1948 he was elected professor emeritus
.
Personality traits
He is unanimously remembered as a real
nazists in Teramo during wartime. Martinelli, very tactfully,[25] told him that the idea was already being developed by Élie Cartan and Georges de Rham
.
An excellent teacher himself, capable to arose curiosity and enthusiasm by his lessons,[21][26] he admired and respected much his own:[27] however, this was quite common for the Italian scientists 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.[28] His doctoral advisor was Francesco Severi: other great Italian mathematicians 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: Zappa (1984) describes the activity of the institute of mathematics during that period as extremely stimulating.[29]
Another central aspect of his personality was a deep sense of
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 Rizza (1984, p. 6) complaining that: "In Italia mancano le menti semplificatrici".[30] Martinelli was also free from every kind of authoritarianism to the point that when, during the protests of 1968 in Italy, many newspapers accused the Italian university scientific community of being so, all the assistant professors and students of Martinelli (and perhaps Martinelli himself) were perplexed.[31] 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[32] and rigorous rationality, according to Rizza, caused him troubles when dealing with many who "believed in everything except the cold light of reason".[33]
Work
Research activity
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.[34]
— Dionisio Gallarati, (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:dissatisfaction":[37] 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:mathematical rigour,[39] 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.[31]
Selected publications
- Martinelli, Enzo (1938), "Alcuni teoremi integrali per le funzioni analitiche di più variabili complesse" [Some integral theorems for analytic functions of several complex variables], Bochner-Martinelli formulais introduced and proved.
- Martinelli, Enzo (1941), "Studio di alcune questioni della teoria delle funzioni biarmoniche e delle funzioni analitiche di due variabili complesse coll'ausilio del calcolo differenziale assoluto" [Study of some questions of the theory of biharmonic functions and of analytic functions of two complex variables by using the absolute differential calculus], Zbl 0025.40503. In this paper, Martinelli proves an earlier result of Luigi Amoroso on the boundary values of pluriharmonic function by using tensor calculus.
- Martinelli, Enzo (1942–1943), "Sopra una dimostrazione di R. Fueter per un teorema di Hartogs" [On a proof of R. Fueter of a theorem of Hartogs], Bochner-Martinelli formula.
- Martinelli, Enzo (1944–1945), "Sulla formula di Cauchy n–dimensionale e sopra un teorema di Hartogs nella teoria delle funzioni di n variabili complesse" [On the n–dimensional Cauchy formula and on a theorem of Hartogs in the theory of functions of n complex variables], Zbl 0060.24404, archived from the original on 9 March 2012, retrieved 3 January 2011. Available at the SEALS Portal Archived 10 November 2012 at the Wayback Machine.
- Martinelli, Enzo (1945–1946), "Formula di Cauchy (n+1)–dimensionale per le funzioni analitiche di n variabili complesse" [(n+1)–dimensional Cauchy formula for analytic functions of n complex variables], n complex variables whose domain of integration is a set whose dimension (as a subset of the 2n–dimensional euclidean space) assumes all integer valuesbetween n and 2n-1.
- Martinelli, Enzo (1953), "Sulle estensioni della formula integrale di Cauchy alle funzioni analitiche di più variabili complesse" [On the extensions of Cauchy's integral formula to analytic functions of several complex variables], n complex variables.
- Martinelli, Enzo (1961), "Sulla determinazione di una funzione analitica di più variabili complesse in un campo, assegnatane la traccia sulla frontiera" [On the computation of an analytic function of several complex variables in a region, given its trace on the boundary], class H1/2 data allowed by Gaetano Fichera.
- Martinelli, Enzo (1975), "Sopra una formula di Andreotti–Norguet" [On a formula of Andreotti–Norguet], Zbl 0317.32006.
- Martinelli, Enzo (1984), Introduzione elementare alla teoria delle funzioni di variabili complesse con particolare riguardo alle rappresentazioni integrali [Elementary introduction to the theory of functions of complex variables with particular regard to integral representations], Contributi del Centro Linceo Interdisciplinare di Scienze Matematiche e Loro Applicazioni (in Italian), vol. 67, Rome: Accademia Nazionale dei Lincei, held by Martinelli during his stay at the Accademia as "Professore Linceo".[19]
- Martinelli, Enzo (1984b), "Qualche riflessione sulla rappresentazione integrale di massima dimensione per le funzioni di più variabili complesse" [Some reflections on the integral representation of maximal dimension for functions of several complex variables], Atti della Accademia Nazionale dei Lincei. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali, Series VIII (in Italian), 76 (4): 235–242, Zbl 0599.32002. In this article, Martinelli gives another form of the Martinelli–Bochner formula.
See also
- Almost complex manifold
- Bochner–Martinelli formula
- Complex manifold
- Kähler manifold
- Pluriharmonic function
- Residue theorem
- Several complex variables
Notes
- ^ a b Awarded jointly to him and Pietro Buzano.
- ^ a b Tomassini (2001, p. III) writes that his death year is 1998, unlike to Gallarati (2000, p. 43), Casetta (1998–2000, p. 189) and Rizza (2002, p. 163), but it is probably a typographical error.
- ^ The contents of this section are mainly sourced from reference (Rizza 2002).
- ^ See Gallarati 2000, p. 43, Rizza 1984, pp. 1–2 and Rizza 2002, pp. 163–165.
- faculty of Engineering of the Sapienza University of Rome
- ^ a b c d According to Rizza (2002, p. 165).
- ^ An English translation reads as "Polygenic functions of one and of two complex variables".
- ^ See reference Rizza 2002, p. 163.
- ^ See references Rizza 1984, p. 1 and Rizza 2002, p. 163.
- Descriptive Geometry with Drawing".
- ^ As Zappa (1984, p. 14) himself remembers. See also the official communication in the Bollettino UMI 1947, p. 85, where all the winners of the chairs are listed, irrespectively of their placement.
- Italiancourse topic in mathematics.
- ^ It was the season of the protests of 1968: a few more detail about Martinelli's work during this season can be found in the section describing his personality.
- ^ According to Rizza (2002, p. 165): Rizza also lists a few universities where Martinelli lectured.
- ^ See Rizza 2002, pp. 165–166.
- Italian mathematician, a collaborator of Tullio Levi-Civita and Federigo Enriques, and the father of noted physicist Edoardo Amaldi.
- fascicle207 of box (Busta) 104 of section VII, titled "Premi di Incoraggiamento e Sussidi" (English: Encouragement Prizes and Grants).
- ^ There is a discrepancy in the date of election reported by Gallarati (2000, p. 43) (1948) and Rizza (2002, p. 165) (1986): however, Dionisio Gallarati published his commemoration of Martinelli in the journal (Atti) of this Academy, and therefore his date is reasonably believed to be correct.
- ^ a b See Rizza 2002, p. 165: the "Professore linceo" (English: Lyncean professor) is a professor which is in charge to the Accademia dei Lincei as a distinguished lecturer.
- ^ See Gallarati (2000, p. 45) and Tomassini (2001, p. IV): the exact Italian word they use to characterize him is signorilità, which is somewhat untranslatable in its exact meaning.
- ^ a b See Rizza 2002, p. 166.
- ^ They mean "mathematical research" in a broad sense: Rizza (1984, p. 2) precisely states that Martinelli was interested in all fields of mathematics, not only the ones within his personal research interest.
- ^ See Rizza (1984, p. 7) and the entry about him for more details.
- ^ Fichera sketches the episode in his "last lesson" (Fichera 1995, pp. 18–19): see also Colautti Fichera 2006, p. 21 and the entry about Gaetano Fichera for further information.
- ^ According to Fichera (1995, pp. 18) himself.
- ^ Some information on his teaching commitment can be found in the "Teaching activity" section of this entry.
- ^ According to Rizza 1984, p. 7.
- ^ See the entries about Italian mathematicians and physicists of that period, for example the entries about Renato Caccioppoli, Gaetano Fichera, Francesco Severi.
- ^ See also the description sketched by Rizza 2002, p. 166.
- ^ "Italy lacks of simplifying minds"An Italian translation.
- ^ a b c According to Rizza (1984, p. 6).
- ^ According to Gallarati (2000, p. 45) and to Rizza (2002, p. 172).
- ^ "... che in tutto credevano salvo nella fredda luce della ragione.", as precisely stated by Rizza (1984, p. 7).
- ^ 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.".
- ^ According to Rizza 1984, p. 2.
- ^ a b For a complete list of his works, classified between research notes and memoirs or treatises, textbooks and various writings, see the paper Rizza 2002, pp. 172–176: a strictly shorter, chronologically ordered list appears also in the paper Rizza (1984, pp. 8–10).
- ^ Precisely, Rizza (1984, p. 2) states the words "entusiasmo" e "insoddisfazione".
- ^ See references Rizza 1984, p. 6 and Rizza 2002, p. 172.
- ^ Gallarati (2000, p. 45) particularly praises this way the various geometry lecture notes redacted by Martinelli himself.
References
Biographical and general references
- Bollettino UMI (1947), "Notizie" [Notices], Bollettino dell'Unione Matematica Italiana, Serie III (in Italian), 2 (1): 81–92.
- Cagiano De Azevedo, Paola; Gerardi, Elvira, eds. (2005), Reale Accademia d'Italia. Inventario dell'archivio [Royal Academy of Italy. Inventory of the archive] (PDF), Pubblicazioni degli Archivi di Stato - Strumenti (in Italian), vol. CLXVII, Roma: Accademia Nazionale dei Linceibetween 1939 and 1944.
- Casetta, Elio (1998–2000), "Relazione" [Relation], Atti Ufficiali dell'Accademia delle Scienze di Torino (in Italian), CCXV–CCXVII: 189–202, available from the Accademia delle Scienze di Torino. The relation on the activity of the "Accademia" during the years 1998–1999 read by the president of the Turin Academy of Sciences.
- Colautti Fichera, Matelda (December 2006), ... ed è subito sera... La lunga, brevissima vita di Gaetano Fichera [... and suddenly it is evening... The long, extremely short life of Gaetano Fichera] (in Italian), Lulu, p. 217.
- Zbl 0949.01011, archived from the original on 26 July 2011. The Last Lesson of the course of higher analysis by Gaetano Fichera, before his retirement from university teaching in 1992.
- Zbl 1159.01329.
- Ridolfi, Roberto, ed. (1976), "Enzo Martinelli", Biografie e bibliografie degli Accademici Lincei [Biographies and bibliographies of the Lincean Academicians] (in Italian), Accademia Nazionale dei Lincei, pp. 431–433. The biographical and bibliographical entry (updated up to 1976) on Luigi Amerio, published under the auspices of the Accademia dei Lincei in a book collecting many profiles of its living members up to 1976.
- proceedings of the conference (Rizza & Succi 1984).
- Rizza, Giovanni Battista (October 1999), "Scomparsa di Enzo Martinelli" [Passing away of Enzo Martinelli], Notiziario dell'Unione Matematica Italiana (in Italian), XXVI (10): 36–37. An obituary written Giovanni Battista Rizza, by his first doctoral student.
- Zbl 1194.01133. The commemoration of Enzo Martinelli written by his first doctoral student.
- Corrado De Concini. It is almost exclusively based on sources from the institute archives: the wealth and variety of materials included, jointly with its appendices and indexes, make this monograph a useful reference not only for the history of the institute itself, but also for the history of many mathematicianswho taught or followed the institute courses or simply worked there.
- Zbl 1128.01309. The personal reminiscences about his geometry teacher Enzo Martinelli, by Giuseppe Tomassini.
- Zbl 0562.01015. This work 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.
Scientific references
- analytic functions of several complex variablesis 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".
- 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".
Proceedings of conferences dedicated to Enzo Martinelli
- Rizza, G.B.; Succi, F., eds. (1984), "Convegno Internazionale in onore di ENZO MARTINELLI – Roma, 30 MAGGIO - 1 GIUGNO 1983", Rivista di Matematica della Università di Parma, (4), 10*. 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, G. Fichera, S. Marchiafava, G. B. Rizza e F. Succi, published in the "Rivista di Matematica della Università di Parma" journal: the papers (Rizza 1984) and (Zappa 1984) are taken from them.
- Marchiafava, S.; Piccinni, P.; Pontecorvo, M., eds. (1999), Proceedings of the Second Meeting on Quaternionic Structures in Mathematics and Physics. Dedicated to the Memory of André Lichnerowicz and Enzo Martinelli (Roma, Italy 6–10 September 1999), Zbl 0958.00032, retrieved 1 January 2011. The electronic proceedings of a conference on topics belonging to or related to André Lichnerowiczand Enzo Martinelli fields of research.
External links
- "Martinèlli, Enzo", Enciclopedia Treccani.
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