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HARMONIC ANALYSIS AND UNCERTAINTY PRINCIPLES FOR INTEGRAL TRANSFORMS GENERALIZING THE SPHERICAL MEAN OPERATOR
Journal article

HARMONIC ANALYSIS AND UNCERTAINTY PRINCIPLES FOR INTEGRAL TRANSFORMS GENERALIZING THE SPHERICAL MEAN OPERATOR

Khaled Hleili, Slim Omri and Lakhdar Tannech Rachdi
Bulletin of Mathematical Analysis and Applications, Vol.4(1), pp.29-61
01/01/2012

Abstract

Mathematics Physical Sciences Science & Technology
For m,n is an element of N; m <= n >= 1, we define an integral transform R-m,R-n, that generalizes the spherical mean operator. We establish many harmonic analysis results for the Fourier transform p(m,n) connected with R-m,R-n. Next, we establish inversion formulas for the operator R-m,R-n and its dual (t) R-m,R-n. Finally, we prove some uncertainty principles related to the Fourier transform P-m,P-n

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