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LOCALIZATION OPERATORS AND SCALOGRAM ASSOCIATED WITH THE GENERALIZED CONTINUOUS WAVELET TRANSFORM ON R-d FOR THE HECKMAN-OPDAM THEORY
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LOCALIZATION OPERATORS AND SCALOGRAM ASSOCIATED WITH THE GENERALIZED CONTINUOUS WAVELET TRANSFORM ON R-d FOR THE HECKMAN-OPDAM THEORY

Hatem Mejjaoli and Khalifa Trimeche
Revista de la Unión Matemática Argentina (1968), Vol.61(1), pp.169-196
01/06/2020

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We consider the generalized wavelet transform Phi(W)(h) on R-d for the Heckman-Opdam theory. We study the localization operators associated with Phi(W)(h); in particular, we prove that they are in the Schatten-von Neumann class. h Next we introduce some results on the scalogram for this transform.
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https://doi.org/10.33044/revuma.v61n1a11View
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