Domains of holomorphy for Fourier transforms of solutions to discrete convolution equations |
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Authors: | Christer O. Kiselman |
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Affiliation: | 1.Department of Information Technology,Uppsala University,Uppsala,Sweden |
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Abstract: | We study solutions to convolution equations for functions with discrete support in R~n, 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~n, and we determine possible domains in terms of the properties of the convolution operator. |
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