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The Hankel Convolution and the Zemanian Spaces βμ and β'μ

✍ Scribed by J. J. Betancor; I. Marrero

Book ID: 102942434
Publisher: John Wiley and Sons
Year: 2009
Tongue: English
Weight: 797 KB
Volume: 160
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.3211600113

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✦ Synopsis

Abstract

In this paper we give structure theorems for the elements of the Zemanian spaces β'~μ~ and β'~μ,a~' Also, bounded sets and convergent sequences in β'~μ,a~' are characterized through representations as derivatives of measurable functions. Finally, we analyze the Hankel convolution on the above spaces.

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