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Zapiski Nauchnykh Seminarov POMI, 2022, Volume 512, Pages 88–94 (Mi znsl7219)  
This article is cited in 1 scientific paper (total in 1 paper)

The Mellin transform, de Branges spaces, and Bessel functions

V. V. Kapustin

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
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Abstract: An explicit description is obtained for the subspaces of the Hardy space on the right half-plane whose images under the Mellin transform yield a chain of de Branges spaces related to the Riemann zeta function.
Key words and phrases: de Branges spaces, modified Bessel function, Mellin transform.
Received: 08.07.2022
Document Type: Article
UDC: 517.98
Language: Russian
Citation: V. V. Kapustin, “The Mellin transform, de Branges spaces, and Bessel functions”, Investigations on linear operators and function theory. Part 50, Zap. Nauchn. Sem. POMI, 512, POMI, St. Petersburg, 2022, 88–94
Citation in format AMSBIB
\Bibitem{Kap22}
\by V.~V.~Kapustin
\paper The Mellin transform, de Branges spaces, and Bessel functions
\inbook Investigations on linear operators and function theory. Part~50
\serial Zap. Nauchn. Sem. POMI
\yr 2022
\vol 512
\pages 88--94
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl7219}
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  • https://www.mathnet.ru/eng/znsl/v512/p88
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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