Fourier transforms having only real zeros

Cardon, David

doi:10.1090/S0002-9939-04-07677-4

Fourier transforms having only real zeros

Author: David A. Cardon
Journal: Proc. Amer. Math. Soc. 133 (2005), 1349-1356
MSC (2000): Primary 42A38, 30C15
DOI: https://doi.org/10.1090/S0002-9939-04-07677-4
Published electronically: October 18, 2004
MathSciNet review: 2111941
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Abstract: Let be a real entire function of order less than with only real zeros. Then we classify certain distribution functions such that the Fourier transform $H(z)=\int_{-\infty}^{\infty}G(it)e^{izt}\,dF(t)$ has only real zeros.

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