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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 and previous results of , 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.

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  • Federico Cafiero (Riposto, 24 de maig de 1914 - Nàpols, 7 de maig de 1980) va ser un matemàtic italià. Nascut en una població costera al nord de Catània, Cafiero va estudiar matemàtiques a la universitat de Nàpols en la qual es va graduar el 1939. El curs següent va obtenir una beca de recerca a la universitat de Roma en la qual va ser assistent el curs següent. Però la incorporació d'Itàlia a la Segona Guerra Mundial va fer que fos mobilitzat i destinat al nord d'Àfrica on, després d'una derrota a la línia Oued el Hachana, va aconseguir transportar bona part dels seus homes fins a Trapani (Sicília), motiu pel qual va ser condecorat. El 1944 va tornar a Nàpols on va ser professor de la universitat fins al 1953, quan el van nomenar professor de la universitat de Catània, en la qual va romandre fins al 1956. En aquest any va passar a la universitat de Pisa i, finalment, el 1959, va obtenir la càtedra d'anàlisi matemàtica a la universitat de Nàpols de la que ja no es va moure fins a la seva mort el 1980. Els seus treball més importants van ser en els camps de l'anàlisi matemàtica i de la teoria de la mesura. (ca)
  • 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 and previous results of , 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. (en)
  • Federico Cafiero (Riposto, 24 maggio 1914 – Napoli, 7 maggio 1980) è stato un matematico italiano. (it)
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  • 1914-05-24 (xsd:date)
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  • 1980-05-07 (xsd:date)
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  • (en)
  • Golden medal "Benemeriti della Scuola, della Cultura, dell'Arte" (en)
  • Tenore prize of the Accademia Pontaniana (en)
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  • 1914-05-24 (xsd:date)
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  • 1980-05-07 (xsd:date)
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  • dbr:Real_analysis
  • Ordinary differential equations (en)
  • (en)
  • Measure and Integration theory (en)
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  • Cafiero (en)
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  • Federico Cafiero (en)
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  • Italian (en)
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  • . (en)
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  • Come Andreotti anche Stampacchia non poté venire subito a Pisa e così io fui felice di avere con me un altro valoroso allievo di Renato Caccioppoli, Federico Cafiero, che restò a Pisa poco tempo, ma vi lasciò una forte traccia e formò il suo valido continuatore Giorgio Letta. (en)
  • Ma è subito dopo la seconda guerra mondiale che il processo di astrattizzazione della teoria della misura e dell'integrale si completa in modo definitivo. A ciò contribuirono Paul Halmos negli U.S.A. e Renato Caccioppoli, Federico Cafiero ed altri in Italia. (en)
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  • Federico Cafiero (en)
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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 and previous results of , 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. (en)
  • Federico Cafiero (Riposto, 24 maggio 1914 – Napoli, 7 maggio 1980) è stato un matematico italiano. (it)
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  • Federico Cafiero (ca)
  • Federico Cafiero (en)
  • Federico Cafiero (it)
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  • Federico Cafiero (en)
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