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Mean periodic functions

  • László Székelyhidi
Part of the Springer Monographs in Mathematics book series (SMM)

Abstract

In Section 4.1 we have seen that the study of varieties in C(G) is equivalent to the study of solution spaces of convolution type functional equations. As the solutions of convolution type functional equations are mean periodic functions, it seems to be reasonable to set them into the center of our investigations. We recall (see also [10]) that for a locally compact Abelian group G the continuous function f : G → ℂ is called mean periodic if there exists a nonzero compactly supported complex Radon measure μ on G such that

Keywords

Periodic Function Nonnegative Integer Topological Vector Space Compact Abelian Group Spectral Synthesis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  • László Székelyhidi
    • 1
  1. 1.Institute of MathematicsUniversity of DebrecenDebrecenHungary

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