Eugenio Elia Levi

Eugenio Elia Levi (born October 18, 1883 in Turin , † October 28, 1917 in Cormons ) was an Italian mathematician and physicist who dealt with complex analysis , among other things .

EELevi was the younger brother of the mathematician Beppo Levi . He graduated from the Scuola Normale Superiore in Pisa at the age of 21 in 1904 and was considered one of the most hopeful Italian mathematicians. From 1906 to 1909 he was assistant to Ulisse Dini , where he qualified as a professor in 1907 with a thesis on linear elliptic partial differential equations . From 1909 he was Professor of Analysis at the University of Genoa . In 1911 he became a corresponding member of the Accademia dei Lincei .

Levi volunteered in World War I and died in 1917 at the front in Cormons near Gorizia .

He dealt with differential geometry , calculus of variations , group theory , elliptical and parabolic partial differential equations and function theory . He is known for the Levi problem (1911) in the theory of several complex variables. Levi asked about the geometric characterization of holomorphic regions and whether all pseudoconvex regions are holomorphic regions. The Levi problem (like the cousin problems) has long been a driving force in the theory of the functions of several complex variables and was solved in the early 1950s by Kiyoshi Oka , Hans Joachim Bremermann and François Norguet .

The Levi decomposition (1906, Atti Acad.Torino) of Lie algebras into a semi-direct sum of a semi- simple and a solvable sub -algebra is named after him.

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↑ Levi Sulle superficie dello spazio a 4 dimensione che possono essere frontiera del campo di esistenza di una funzione analitica di due variabili complesse , Annali Mat. Pura Appl., Vol. 18, 1911, pp. 69-79

personal data
SURNAME	Levi, Eugenio Elia
BRIEF DESCRIPTION	Italian mathematician, physicist and university professor
DATE OF BIRTH	October 18, 1883
PLACE OF BIRTH	Turin
DATE OF DEATH	October 28, 1917
Place of death	Cormons

[1] Levi Sulle superficie dello spazio a 4 dimensione che possono essere frontiera del campo di esistenza di una funzione analitica di due variabili complesse , Annali Mat. Pura Appl., Vol. 18, 1911, pp. 69-79