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Algebra i Analiz, 2010, Volume 22, Issue 5, Pages 49–68 (Mi aa1204)  
This article is cited in 6 scientific papers (total in 6 papers)

Research Papers

Entire functions of sine type and their applications

R. A. Bashmakova, A. A. Putintsevaa, R. C. Yulmukhametovb

a Bashkir State University, Ufa, Russia
b Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences, Ufa, Russia
Full-text PDF (276 kB) Citations (6)
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Abstract: For subharmonic functions that depend only on the real part of $z$, new constructions of “sine type functions” are presented. This term is reserved for entire functions whose deviation from a given function is majorized, everywhere except some collection of disks, by a certain constant. It is shown that the system of exponentials constructed by the zeros of a sine type function for some convex function is complete and minimal in a certain weighted Hilbert space on an interval of the real line.
Keywords: entire functions, Hilbert spaces, completeness and minimality for a system of exponentials, Fourier–Laplace transformation.
Received: 17.07.2009
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 5, Pages 737–750
DOI: https://doi.org/10.1090/S1061-0022-2011-01165-3
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. A. Bashmakov, A. A. Putintseva, R. C. Yulmukhametov, “Entire functions of sine type and their applications”, Algebra i Analiz, 22:5 (2010), 49–68; St. Petersburg Math. J., 22:5 (2011), 737–750
Citation in format AMSBIB
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\by R.~A.~Bashmakov, A.~A.~Putintseva, R.~C.~Yulmukhametov
\paper Entire functions of sine type and their applications
\jour Algebra i Analiz
\yr 2010
\vol 22
\issue 5
\pages 49--68
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2828826}
\zmath{https://zbmath.org/?q=an:1244.30045}
\transl
\jour St. Petersburg Math. J.
\yr 2011
\vol 22
\issue 5
\pages 737--750
\crossref{https://doi.org/10.1090/S1061-0022-2011-01165-3}
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84871463228}
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  • https://www.mathnet.ru/eng/aa/v22/i5/p49
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и анализ St. Petersburg Mathematical Journal
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    Full-text PDF :223
    References:73
    First page:34
     
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