An uncertainty principle for the Dunkl transform-Reference-Cited by-同舟云学术

An uncertainty principle for the Dunkl transform

Published:1999-06 Issue:3 Volume:59 Page:353-360
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Rösler Margit

Abstract

This note presents an analogue of the classical Heisenberg-Weyl uncertainty principle for the Dunkl transform on ℝN. Its proof is based on expansions with respect to generalised Hermite functions.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference15 articles.

1. Positivity of Dunkl's intertwining operator;Rösier;Duke Math. J.

2. Integral Kernels with Reflection Group Invariance

3. An uncertainty principle for Hankel transforms;Rosier;Proc. Amer. Math. Soc.,1999

4. Generalized Hermite polynomials and the heat equation for Dunkl operators;Rosier;Comm. Math. Phys.,1998

5. Nonsymmetric Jack polynomials and integral kernels

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