On the Cauchy problem in a class of entire functions in several variables

Eugeni Leinartas

ArticleOriginal scientific text

Title

On the Cauchy problem in a class of entire functions in several variables

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Affiliations

Krasnoyarsk State University, Svobodny 79, 660062 Krasnoyarsk, Russia

Abstract

We study the integral representation of solutions to the Cauchy problem for a differential equation with constant coefficients. The Cauchy data and the right-hand of the equation are given by entire functions on a complex hyperplane of

ℂ^{n + 1}

. The Borel transformation of power series and residue theory are used as the main methods of investigation.

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L. I. Ronkin, Introduction to the Theory of Entire Functions in Several Variables, Nauka, Moscow, 1971.

Title

On the Cauchy problem in a class of entire functions in several variables

Affiliations

Abstract

Bibliography