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

Voir la notice de l'article 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.
@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},
     publisher = {mathdoc},
     volume = {512},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_512_a5/}
}
TY  - JOUR
AU  - V. V. Kapustin
TI  - The Mellin transform, de Branges spaces, and Bessel functions
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2022
SP  - 88
EP  - 94
VL  - 512
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2022_512_a5/
LA  - ru
ID  - ZNSL_2022_512_a5
ER  - 
%0 Journal Article
%A V. V. Kapustin
%T The Mellin transform, de Branges spaces, and Bessel functions
%J Zapiski Nauchnykh Seminarov POMI
%D 2022
%P 88-94
%V 512
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2022_512_a5/
%G ru
%F 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/