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Functional Analysis and Its Applications

, Volume 47, Issue 1, pp 21–26 | Cite as

On the titchmarsh convolution theorem for distributions on the circle

  • A. A. KomechEmail author
  • A. I. Komech
Article

Abstract

We prove a version of the Titchmarsh convolution theorem for distributions on the circle. We show that a certain “naïve” form of the Titchmarsh theorem can be violated, but only for the convolution of distributions with certain symmetry properties.

Key words

Titchmarsh convolution theorem symmetry properties periodic distributions 

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Institute for Information Transmission ProblemsTexas A&M UniversityMoscowRussia
  2. 2.Institute for Information Transmission ProblemsUniversity of ViennaMoscowRussia

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