Federico Cafiero
| Federico Cafiero | |
|---|---|
| Born |
24 May 1914 Riposto |
| Died | 7 May 1980 (aged 65) Napoli |
| Nationality | Italian |
| Fields | |
| Institutions | |
| Alma mater | Università degli Studi di Napoli Federico II |
| Doctoral advisor | Renato Caccioppoli |
| Doctoral students |
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| Notable awards |
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Federico Cafiero (24 May 1914 – 7 May 1980) was an Italian mathematician known for his contributions in real analysis, measure and integration theory, and in the theory of ordinary differential equations. In particular, generalizing the Vitali convergence theorem, the Fichera convergence theorem and previous results of Vladimir Mikhailovich Dubrovskii, he proved a necessary and sufficient condition for the passage to the limit under the sign of integral: this result is, in some sense, definitive. In the field of ordinary differential equations, he studied existence and uniqueness problems under very general hypotheses for the left member of the given first order equation, developing an important approximation method and proving a fundamental uniqueness theorem.
Cafiero was born in Riposto, Province of Catania, on May 24, 1914. He obtained his Laurea in mathematics, cum laude, from the University of Naples Federico II in 1939. During the 1939–1940 academic year, he won an "Istituto Nazionale di Alta Matematica" scholarship and went in Rome to the institute: there he followed the courses held by Francesco Severi, Mauro Picone, Luigi Fantappiè, Giulio Krall and Leonida Tonelli.
He was appointed instructor of the course of "Elementi di matematica" by the Faculty of Statistical Sciences of the University of Rome, for the 1940–1941 academic year: however, he was able to hold the course only for few months, since he was called to arms on January 1941 and stationed from May 1942 to September 1943 on the Northern African coasts as an officer of the San Marco Battalion. It was there that, after having successfully completed a dangerous sabotage operation, the Armistice between Italy and Allied armed forces surprised him and the other members of his unit, leaving them without any support. Nonetheless, in desperate conditions, he was able to lead his men to the Italian coasts with a rubber dinghy, and was awarded of a Silver Medal of Military Valor for this act.
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