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An uncertainty principle for the Dunkl transform

Published online by Cambridge University Press:  17 April 2009

Margit Rösler
Margit Rösler
Affiliation:
Zentrum MathematikTechnische Universität MünchenArcisstr. 21, D-80290 München, Germany e-mail: roesler@mathematik.tu-muenchen.de
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Abstract

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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.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 3 , June 1999 , pp. 353 - 360
Copyright
Copyright © Australian Mathematical Society 1999

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