## Abstract We describe the spaces of regular and absolutely regular Hankel‐transformable distributions and discuss their interrelations. Several topologies on those spaces are proposed and examined. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Beurling Distributions and Hankel Transforms
✍ Scribed by Mohamed Belhadj; Jorge J. Betancor
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 325 KB
- Volume
- 233-234
- Category
- Article
- ISSN
- 0025-584X
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📜 SIMILAR VOLUMES
The range of the Hankel and extended Hankel transforms on some spaces of functions is described. The Paley᎐Wiener theorem for the Hankel transform is also obtained.
## Abstract By expressing the Dunkl transform of order __α__ of a function __f__ in terms of the Hankel transforms of orders __α__ and __α__ + 1 of even and odd parts of __f__, respectively, we show that a considerable part of harmonic analysis of the Dunkl transform on the real line may be reduced
## Abstract New topologies on the spaces of regular and absolutely regular Hankel‐transformable distributions are proposed and compared. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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