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The contributions of Francesco Severi and of Guido Fubini to the theory of functions of several complex variables. (Italian) Zbl 0531.32001
In this paper the author enlightens the important contributions of Francesco Severi and Guido Fubini to the classical Cauchy problem for the C R system, i.e. the characterization of the traces (in various senses) of holomorphic functions on a hypersurface. - Starting from the description of the results and methods of proofs given by the two Italian mathematicians at the beginning of the 30’s, the author presents an overview of the forthcoming developments passing through the works of H. Levi, E. Martinelli, S. Bochner, L. Hörmander, J. J. Kohn, H. Rossi, A. Andreotti, the author and others.
Reviewer: P.de Bartolomeis

MSC:
32-03Historical (several complex variables and analytic spaces)
32A10Holomorphic functions (several variables)
01A60Mathematics in the 20th century
32W05$\overline\partial$ and $\overline\partial$-Neumann operators
01A55Mathematics in the 19th century