Mean Periodic Functions on Subsets of the Real Line

  • Valery V. VolchkovEmail author
  • Vitaly V. Volchkov
Part of the Springer Monographs in Mathematics book series (SMM)


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 Many important new results, some previously unpublished, are included.


Open Subset Entire Function Periodic Function Heisenberg Group Periodic Continuation 
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Copyright information

© Springer-Verlag London Limited 2009

Authors and Affiliations

  1. 1.Mathematical DepartmentDonetsk National UniversityDonetskUkraine

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