Mean Periodic Functions on Subsets of the Real Line
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The chapter contains a detailed study of convolution equations of compact support on subsets of the real line presenting complete proofs of all results. This treatment includes a description of solutions, the uniqueness theory, structure of zero sets, and local analogues of Schwartz’s fundamental principle. The related problems on the convergence of nonharmonic Fourier series are also considered. The final two sections are devoted to the investigation of the mean periodic continuation and the asymptotic behavior of solutions. Many important new results, some previously unpublished, are included.
KeywordsOpen Subset Entire Function Periodic Function Heisenberg Group Periodic Continuation
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