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Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups

Bloom, W.R. and Xu, Z. (1998) Fourier transforms of Schwartz functions on Chébli-Trimèche hypergroups. Monatshefte für Mathematik, 125 (2). pp. 89-109.

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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
Murdoch Affiliation(s): School of Mathematical and Physical Sciences
Publisher: Springer Verlag
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