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HEISENBERG–PAULI–WEYL UNCERTAINTY INEQUALITY FOR THE DUNKL TRANSFORM ON ℝd

Part of: Harmonic analysis in several variables

Published online by Cambridge University Press:  19 October 2012

FETHI SOLTANI
FETHI SOLTANI*
Affiliation:
Higher College of Technology and Informatics, Street of the Employers 45, Charguia 2, 2035 Tunis, Tunisia (email: [email protected])
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Abstract

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In this paper, we give analogues of the local uncertainty inequality for the Dunkl transform on ℝd, and indicate how the local uncertainty inequality implies a global uncertainty inequality.

Keywords

Dunkl transformlocal uncertainty principleglobal uncertainty principleHeisenberg–Pauli–Weyl uncertainty principle

MSC classification

Secondary: 42B10: Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type 33C45: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 87 , Issue 2 , April 2013 , pp. 316 - 325
Copyright
©2012 Australian Mathematical Publishing Association Inc.

References

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