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Mathematics of the USSR-Izvestiya, 1971, Volume 5, Issue 1, Pages 131–159
DOI: https://doi.org/10.1070/IM1971v005n01ABEH001026 (Mi im1922) 		 
Recovery of a function from its coefficients in a Dirichlet series

A. F. Leont'ev
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DOI: https://doi.org/10.1070/IM1971v005n01ABEH001026
Abstract: A Dirichlet series is associated, through formulas giving its coefficients, with a function analytic in a closed bounded convex domain. It is shown how to recover the function from the coefficients of the associated Dirichlet series.
Received: 11.06.1970
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1971, Volume 35, Issue 1, Pages 125–153
Bibliographic databases:
UDC: 517.5
MSC: Primary 30A16; Secondary 40H05
Language: English
Original paper language: Russian
Citation: A. F. Leont'ev, “Recovery of a function from its coefficients in a Dirichlet series”, Izv. Akad. Nauk SSSR Ser. Mat., 35:1 (1971), 125–153; Math. USSR-Izv., 5:1 (1971), 131–159
Citation in format AMSBIB
\Bibitem{Leo71}
\by A.~F.~Leont'ev
\paper Recovery of a~function from its coefficients in a~Dirichlet series
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1971
\vol 35
\issue 1
\pages 125--153
\mathnet{http://mi.mathnet.ru/im1922}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=274730}
\zmath{https://zbmath.org/?q=an:0217.09502}
\transl
\jour Math. USSR-Izv.
\yr 1971
\vol 5
\issue 1
\pages 131--159
\crossref{https://doi.org/10.1070/IM1971v005n01ABEH001026}
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    • This publication is cited in the following 1 articles:
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:251
    Russian version PDF:111
    English version PDF:13
    References:42
    First page:1
     
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