New cases of Hankel operator diagonalization

We obtain some new cases of diagonalization of Hankel operator on the semiaxis. The kernels of these operators contain hyperbolic functions. The integral transformations diagonalizing these operators are a composition of the classical Mehler-Fock transformations, sine and cosine Fourier transforms a...

Full description

Saved in:
Bibliographic Details
Published in:Integral transforms and special functions 2022-09, Vol.33 (9), p.729-734
Main Author: Petrov, V. E.
Format: Article
Language:English
Subjects:
diagonalization
Fourier transforms
Hankel equation
Hyperbolic functions
Integral transforms
Mehler-Fock transform
MSC 45C99
Operators (mathematics)
Trigonometric functions
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We obtain some new cases of diagonalization of Hankel operator on the semiaxis. The kernels of these operators contain hyperbolic functions. The integral transformations diagonalizing these operators are a composition of the classical Mehler-Fock transformations, sine and cosine Fourier transforms and some unitary operator. The latter is written out explicitly.
ISSN:1065-2469
1476-8291
DOI:10.1080/10652469.2022.2033738