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Russian Academy of Sciences. Izvestiya Mathematics, 1993, Volume 40, Issue 3, Pages 503–527
DOI: https://doi.org/10.1070/IM1993v040n03ABEH002175 (Mi im938) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the representation of analytic functions of several variables by exponential series

A. B. Sekerin

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
English version PDF (1322 kB) Citations (3)
References:
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DOI: https://doi.org/10.1070/IM1993v040n03ABEH002175
Abstract: The author considers the problem of representing functions analytic in a neighborhood of a closed, bounded, convex, multidimensional domain by exponential series (with formulas for the coefficients). In addition, the system of exponents should be the collection of intersection points of the zero planes of a special entire function. A complete description is given of a class of convex domains for which it is possible to solve the problem of representing functions by exponential series in this way.
Received: 11.02.1991
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 1992, Volume 56, Issue 3, Pages 538–565
Bibliographic databases:
UDC: 517.537
MSC: Primary 32A05; Secondary 32A07, 32A15
Language: English
Original paper language: Russian
Citation: A. B. Sekerin, “On the representation of analytic functions of several variables by exponential series”, Izv. RAN. Ser. Mat., 56:3 (1992), 538–565; Russian Acad. Sci. Izv. Math., 40:3 (1993), 503–527
Citation in format AMSBIB
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\paper On~the~representation of analytic functions of several variables by exponential series
\jour Izv. RAN. Ser. Mat.
\yr 1992
\vol 56
\issue 3
\pages 538--565
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\transl
\jour Russian Acad. Sci. Izv. Math.
\yr 1993
\vol 40
\issue 3
\pages 503--527
\crossref{https://doi.org/10.1070/IM1993v040n03ABEH002175}
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  • https://doi.org/10.1070/IM1993v040n03ABEH002175
  • https://www.mathnet.ru/eng/im/v56/i3/p538
    • 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
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:374
    Russian version PDF:130
    English version PDF:9
    References:66
    First page:3
     
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