In this paper we establish a Paley᎐Wiener theorem for the Hankel transformation on generalized functions of Colombeau type.
A generalized Hankel transform on Lν,r–spaces
✍ Scribed by Hans–Jürgen Glaeske; Anatoly A. Kilbas
- Publisher
- John Wiley and Sons
- Year
- 2003
- Tongue
- English
- Weight
- 190 KB
- Volume
- 258
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
Abstract
An integral transform with a kernel generalizing the Bessel function of the first kind is investigated in weighted L~p~–spaces. Mapping properties, such as the boundedness, the representation and the range of the transform, are given and an inversion formula is proved. (© 2003 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
## Abstract In this paper we investigate Hankel operators with anti‐holomorphic __L__^2^‐symbols on generalized Fock spaces __A__~__m__~^2^ in one complex dimension. The investigation of the mentioned operators was started in [4] and [3]. Here, we show that a Hankel operator with anti‐holomorphic