The Mellin transform, de Branges spaces, and Bessel functions
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 50, Tome 512 (2022), pp. 88-94
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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.
@article{ZNSL_2022_512_a5,
author = {V. V. Kapustin},
title = {The {Mellin} transform, de {Branges} spaces, and {Bessel} functions},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {88--94},
year = {2022},
volume = {512},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_512_a5/}
}
V. V. Kapustin. The Mellin transform, de Branges spaces, and Bessel functions. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 50, Tome 512 (2022), pp. 88-94. http://geodesic.mathdoc.fr/item/ZNSL_2022_512_a5/
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[2] V. V. Kapustin, “Pyat modelei v gilbertovykh prostranstvakh, svyazannykh s dzeta-funktsiei Rimana”, Zap. nauchn. sem. POMI, 503, 2021, 84–96