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Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 2, Pages 54–69
DOI: https://doi.org/10.4213/faa3186 (Mi faa3186) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Singular points of the sum of a Dirichlet series on the convergence line

O. A. Krivosheevaa, A. S. Krivosheevb

a Bashkir State University, Ufa
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa
Full-text PDF (211 kB) Citations (8)
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DOI: https://doi.org/10.4213/faa3186
Abstract: We study the distribution of singular points of the sum of a Dirichlet series and obtain necessary and sufficient conditions for the sum of such a series to have at least one singular point on any segment of given length on the convergence line.
Keywords: singular point, convex domain, invariant subspace, fundamental principle.
Received: 08.05.2013
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 2, Pages 122–134
DOI: https://doi.org/10.1007/s10688-015-0094-z
Bibliographic databases:
Document Type: Article
UDC: 517.537.7
Language: Russian
Citation: O. A. Krivosheeva, A. S. Krivosheev, “Singular points of the sum of a Dirichlet series on the convergence line”, Funktsional. Anal. i Prilozhen., 49:2 (2015), 54–69; Funct. Anal. Appl., 49:2 (2015), 122–134
Citation in format AMSBIB
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    • This publication is cited in the following 8 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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    References:82
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