On a hybrid laguerre-fourier transform

A two-dimensional integral transformation, a discrete Laguerre transform with respect to one variable and a Fourier transform with respect to the other, introduced by T. Koornwinder, is investigated. An inversion formula is proved and rules of operational calculus are derived. Finally the convolutio...

Full description

Saved in:
Bibliographic Details
Published in:Integral transforms and special functions 2000-12, Vol.10 (3-4), p.227-238
Main Authors: Glaeske, H.-J., Saigo, M.
Format: Article
Language:English
Subjects:
convolution structure
integral transforms
operational calculus
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:A two-dimensional integral transformation, a discrete Laguerre transform with respect to one variable and a Fourier transform with respect to the other, introduced by T. Koornwinder, is investigated. An inversion formula is proved and rules of operational calculus are derived. Finally the convolution structure of this transform is considered, which is proved to be a positive one in contrast to the one-dimensional discrete Laguerre transform.
ISSN:1065-2469
1476-8291
DOI:10.1080/10652460008819288