Czechoslovak Mathematical Journal, Vol. 61, No. 4, pp. 941-974, 2011

Uncertainty principles for the Weinstein transform

Hatem Mejjaoli, Makren Salhi

H. Mejjaoli, Department of Mathematics, College of Science, King Faisal University, P. O. Box 380, Ahsaa 31982, Saudi Arabia, e-mail: hmejjaoli@kfu.edu.sa; M. Salhi, Department of Mathematics, Faculty of sciences Tunis, Tunisia, e-mail: salhimakrem19@yahoo.fr

Abstract: The Weinstein transform satisfies some uncertainty principles similar to the Euclidean Fourier transform. A generalization and a variant of Cowling-Price theorem, Miyachi's theorem, Beurling's theorem, and Donoho-Stark's uncertainty principle are obtained for the Weinstein transform.

Keywords: Weinstein transform, Hardy's type theorem, Cowling-Price's theorem, Beurling's theorem, Miyachi's theorem, Donoho-Stark's uncertainty principle

Classification (MSC 2010): 35B53, 43A32, 44A05, 44A20


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