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A convolution for the Hankel–Kontorovich–Lebedev transformation

✍ Scribed by Y. E. Gutiérrez–Tovar; J. M. R. Méndez–Pérez

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
179 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

The analysis of a kernel involving the product of three Bessel functions motivates the introduction of the translation operator and the convolution associated to the Hankel–Kontorovich–Lebedev tranformation, first in a classical framework, and then in certain spaces of generalized functions. The main properties of this convolution are investigated, the more important operational rules are obtained and some applications are shown. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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