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http://dx.doi.org/10.11568/kjm.2016.24.2.235

GENERALIZED WAVELETS AND THE GENERALIZED WAVELET TRANSFORM ON ℝd FOR THE HECKMAN-OPDAM THEORY  

Hassini, Amina (Department of Mathematics Faculty of Sciences of Tunis University of El Manar CAMPUS)
Maalaoui, Rayaane (Department of Mathematics Faculty of Sciences of Tunis University of El Manar CAMPUS)
Trimeche, Khalifa (Department of Mathematics Faculty of Sciences of Tunis University of El Manar CAMPUS)
Publication Information
Korean Journal of Mathematics / v.24, no.2, 2016 , pp. 235-271 More about this Journal
Abstract
By using the Heckman-Opdam theory on ${\mathbb{R}}^d$ given in [20], we define and study in this paper, the generalized wavelets on ${\mathbb{R}}^d$ and the generalized wavelet transform on ${\mathbb{R}}^d$, and we establish their properties. Next, we prove for the generalized wavelet transform Plancherel and inversion formulas.
Keywords
Heckman-Opdam theory; Wavelets; Generalized wavelet transform;
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Times Cited By KSCI : 1  (Citation Analysis)
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