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Funktsional'nyi Analiz i ego Prilozheniya, 2013, Volume 47, Issue 1, Pages 26–32
DOI: https://doi.org/10.4213/faa3102 (Mi faa3102) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Titchmarsh Convolution Theorem for Distributions on the Circle

A. A. Komechab, A. I. Komechac

a A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow
b Texas A&M University
c University of Vienna
Full-text PDF (135 kB) Citations (3)
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DOI: https://doi.org/10.4213/faa3102
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.
Keywords: Titchmarsh convolution theorem, symmetry properties, periodic distributions.
Received: 09.01.2011
English version:
Functional Analysis and Its Applications, 2013, Volume 47, Issue 1, Pages 21–26
DOI: https://doi.org/10.1007/s10688-013-0003-2
Bibliographic databases:
Document Type: Article
UDC: 517.71
Language: Russian
Citation: A. A. Komech, A. I. Komech, “On the Titchmarsh Convolution Theorem for Distributions on the Circle”, Funktsional. Anal. i Prilozhen., 47:1 (2013), 26–32; Funct. Anal. Appl., 47:1 (2013), 21–26
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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