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

Eugeni Leinartas — 1996

Banach Center Publications

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 n + 1 . The Borel transformation of power series and residue theory are used as the main methods of investigation.

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