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On the representation of functions by the Hankel and some related transformations

Published online by Cambridge University Press:  14 November 2011

P. G. Rooney
P. G. Rooney
Affiliation:
Department of Mathematics, University of Toronto, Toronto, Ontario M5S 1A1, Canada
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Extract

A representation theory for the Hankel transformation Hv, defined for suitable f and for v > −1, by

on the spaces ℒμ, p defined by the norm

is developed. Using this, representation theories are developed for some related transformations.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 3 , 1995 , pp. 449 - 463
Copyright
Copyright © Royal Society of Edinburgh 1995

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