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On the Mehler-Fock Transform in Lp-Space

✍ Scribed by Semën B. Yakubovich; Megumi Saigo

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
596 KB
Volume
185
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

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 L~p~(ω(t); IR~+~) are given as the inversion formula. The image space is also characterized.

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