Convolution Hankel Transforms on the Zemanian Spaces
β Scribed by J. J. Betancor; C. Jerez
- Book ID
- 110236169
- Publisher
- Akadmiai Kiad
- Year
- 1998
- Tongue
- English
- Weight
- 409 KB
- Volume
- 80
- Category
- Article
- ISSN
- 1588-2632
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## Abstract In this paper we give structure theorems for the elements of the Zemanian spaces Ξ²'~ΞΌ~ and Ξ²'~ΞΌ,a~' Also, bounded sets and convergent sequences in Ξ²'~ΞΌ,a~' are characterized through representations as derivatives of measurable functions. Finally, we analyze the Hankel convolution on the
its space of convolution operators, and let O O be the predual of O O X . We prove , ΰ » , ΰ » that the topology of uniform convergence on bounded subsets of H H and the strong dual toplogy coincide on O O X . Our technique, involving Mackey topologies, differs , ΰ » from, and is simpler than, those usual