Journal article
Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups
Monatshefte für Mathematik, Vol.125(2), pp.89-109
1998
Abstract
The Fourier transform for Schwartz spaces on Chébli-Trimèche hypergroups is studied, leading to results on approximation to the identity for functions and distributions on the half-line. In particular it is shown that the heat and Poisson kernels on the half-line form approximate units in various function spaces. A characterization of the convolution of a tempered distribution and a Schwartz function is also given.
Details
- Title
- Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups
- Authors/Creators
- W.R. Bloom (Author/Creator) - Murdoch UniversityZ. Xu (Author/Creator) - Murdoch University
- Publication Details
- Monatshefte für Mathematik, Vol.125(2), pp.89-109
- Publisher
- Springer Verlag
- Identifiers
- 991005543231907891
- Murdoch Affiliation
- School of Mathematical and Physical Sciences
- Language
- English
- Resource Type
- Journal article
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- Citation topics
- 4 Electrical Engineering, Electronics & Computer Science
- 4.174 Digital Signal Processing
- 4.174.1417 Fractional Fourier Transform
- Web Of Science research areas
- Mathematics
- ESI research areas
- Mathematics