Domains of holomorphy for Fourier transforms of solutions to discrete convolution equations
نویسنده
چکیده
We study solutions to convolution equations for functions with discrete support in R, a special case being functions with support in the integer points. The Fourier transform of a solution can be extended to a holomorphic function in some domains in C, and we determine possible domains in terms of the properties of the convolution operator.
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تاریخ انتشار 2017