On the Mehler-Fock Transform in Lp-Space

The present paper is devoted to study the transform by the index of the Legendre function which is known as the Mehler‐Fock transform. Mapping properties of the Mehler‐Fodr transform in the weighted space Lp(ω(t); IR+) are given as the inversion formula. The image space is also characterized.

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Bibliographic Details
Published in:Mathematische Nachrichten 1997, Vol.185 (1), p.261-277
Main Authors: Yakubovich, Semën B., Saigo, Megumi
Format: Article
Language:English
Subjects:
Legendre function
Macdonald function
Mehler-Fock transform
Online Access:Get full text
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Description
Summary:The present paper is devoted to study the transform by the index of the Legendre function which is known as the Mehler‐Fock transform. Mapping properties of the Mehler‐Fodr transform in the weighted space Lp(ω(t); IR+) are given as the inversion formula. The image space is also characterized.
ISSN:0025-584X
1522-2616
DOI:10.1002/mana.3211850116