Convolution operators and zeros of entire functions-Reference-Cited by-同舟云学术

Convolution operators and zeros of entire functions

Published:2001-10-17 Issue:6 Volume:130 Page:1725-1734
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Cardon David

Abstract

Let G ( z ) G(z) be a real entire function of order less than 2 2 with only real zeros. Then we classify certain distribution functions F F such that the convolution ( G ∗ d F ) ( z ) = ∫ − ∞ ∞ G ( z − i s ) d F ( s ) (G*dF)(z)=\int _{-\infty }^{\infty } G(z-is)\,dF(s) has only real zeros.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2002-130-06/S0002-9939-01-06351-1/S0002-9939-01-06351-1.pdf

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