Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups
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Bloom, W.R. and Xu, Z. (1998) Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups. Monatshefte für Mathematik, 125 (2). pp. 89-109.
Link to Published Version: http://dx.doi.org/10.1007/BF01332821
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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.
| Item Type: | Journal Article |
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| Murdoch Affiliation(s): | School of Mathematical and Physical Sciences |
| Publisher: | Springer Verlag |
| URI: | http://researchrepository.murdoch.edu.au/id/eprint/18282 |
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