On the Cauchy problem in a class of entire functions in several variables
Volume 33 / 1996
Banach Center Publications 33 (1996), 189-192
DOI: 10.4064/-33-1-189-192
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.
