Eugenio Elia Levi

Eugenio Elia Levi ( born October 18, 1883 in Turin, † October 28, 1917 in Cormons ) was an Italian mathematician and physicist who worked on complex analysis.

EELevi was the younger brother of the mathematician Beppo Levi. He volunteered in the First World War and was killed in 1917 at the front in Cormòns in Gorizia. Before that he made at age 21 in 1904 his degree ( Laurea ) at the Scuola Normale Superiore in Pisa and was considered one of the most promising Italian mathematician. 1906 to 1909 he was assistant Ulisse Dini, where he completed his habilitation 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 was admitted to the Accademia dei Lincei.

He worked on differential geometry, calculus of variations, group theory, elliptic and parabolic partial differential equations and function theory.

He is best known for the Levi problem (1911 ) in the theory of several complex variables. Levi asked for the geometric characterization of Holomorphiegebieten and whether all areas are pseudoconvex domains of holomorphy .. The Levi problem was for a long time (like the Cousin problems ) a driving force in the theory of functions of several complex variables and was in the early 1950s by Kiyoshi Oka, Hans Joachim Bremer man and François Norguet solved.

According to him, the Levi decomposition (1906, Atti Acad.Torino ) is of Lie algebras called ( in a sum of a semisimple and solvable subalgebra ).

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