Fourier transforms having only real zeros

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Fourier Transforms Having Only Real Zeros

Let G(z) be a real entire function of order less than 2 with only real zeros. Then we classify certain distribution functions F such that the Fourier transform H(z) = R∞ −∞G(it)e izt dF (t) has only real zeros.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 2005

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-04-07677-4