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Budke, G.

On a Convolution Property Characterizing the Laguerre Functions.

Monatsh. Math. 107, 281-285 (1989)
DOI
Open Access Green as soon as Postprint is submitted to ZB.
Consider the Laguerre functionslpn(t)=(−1)n2p−−√Ln(2pt)e−pt (with parameterp>0), where theL n are the Laguerre polynomials with parameter α=0.{l n p (t)} n=0 ∞ forms a complete orthonormal system inL 2 ([0, ∞)). A well known and often used property of the Laguerre functions is the convolution property:2p−−√lpi∗lpj=lpi+j+lpi+j+1 for alli,j≥0. It is the objectiveof this note that the system of Laguerre functions is the only complete and orthonormal system ofL 2 ([0, ∞)) satisfying the convolution property.
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Publication type Article: Journal article
Document type Scientific Article
Language english
Publication Year 1989
HGF-reported in Year 0
ISSN (print) / ISBN 0026-9255
Journal Monatshefte für Mathematik
Quellenangaben Volume: 107, Issue: , Pages: 281-285 Article Number: , Supplement: ,
Publisher Universität Wien
Reviewing status Peer reviewed
Institute(s) Department for Medical Information Systems (MEDIS)
Institute of Biological and Medical Imaging (IBMI)
POF-Topic(s)
Research field(s)
Enabling and Novel Technologies
PSP Element(s) FE 75557
Erfassungsdatum 1989-12-31
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