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
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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     title = {The {Mellin} transform, de {Branges} spaces, and {Bessel} functions},
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

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.

[1] V. V. Kapustin, “Mnozhestvo nulei dzeta-funktsii Rimana kak tochechnyi spektr operatora”, Algebra i Analiz, 33:4 (2021), 107–124 | MR

[2] V. V. Kapustin, “Pyat modelei v gilbertovykh prostranstvakh, svyazannykh s dzeta-funktsiei Rimana”, Zap. nauchn. sem. POMI, 503, 2021, 84–96