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Convolution operators and zeros of entire functions
Authors:David A Cardon
Institution:Department of Mathematics, Brigham Young University, Provo, Utah 84602
Abstract: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 convolution $(G*dF)(z)=\int_{-\infty}^{\infty} G(z-is)\,dF(s)$has only real zeros.

Keywords:Convolution  zeros of entire functions  Laguerre-P\'olya class
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