Fourier transforms having only real zeros-Reference-Cited by-同舟云学术

Fourier transforms having only real zeros

Published:2004-10-18 Issue:5 Volume:133 Page:1349-1356
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 Fourier transform H ( z ) = ∫ − ∞ ∞ G ( i t ) e i z t d F ( t ) H(z)=\int _{-\infty }^{\infty }G(it)e^{izt}\,dF(t) has only real zeros.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2005-133-05/S0002-9939-04-07677-4/S0002-9939-04-07677-4.pdf

Reference18 articles.

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2. Convolution operators and zeros of entire functions;Cardon, David A.;Proc. Amer. Math. Soc.,2002

3. David A. Cardon, Sums of exponential functions having only real zeros, Manuscripta Math. (to appear).

4. Convolution operators and entire functions with simple zeros;Cardon, David A.,2002

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