FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA
(FUNDAMENTAL AND APPLIED MATHEMATICS)
1999, VOLUME 5, NUMBER 3, PAGES 817-841
A. Yu. Popov
Abstract
View as HTML
View as gif image
View as LaTeX source
The generalized Borel transform has a lot of applications in the theory
of entire functions. It is defined on the space of functions analytic
in a neighborhood of infinity and vanishing at infinity and takes
values on a class $[A,+\infty)$ , where
$A$ is a comparison function. In this paper we obtain an integral
representation of inverse generalized Borel transform for a dense
class of comparison functions. This allows us to prove an analog
of Polya theorem on analytic continuation of inverse Borel transform
of functions of $[A,+\infty)$ for $A$ from a dense class of comparison
functions of infinite order.
All articles are published in Russian.
Main page | Contents of the journal | News | Search |
Location: http://mech.math.msu.su/~fpm/eng/99/993/99313t.htm
Last modified: November 11, 1999