Korean J. Math. Vol. 24 No. 2 (2016) pp.235-271
DOI: https://doi.org/10.11568/kjm.2016.24.2.235

Generalized wavelets and the generalized wavelet transform on Rd for the Heckman-Opdam theory

Main Article Content

Amina Hassini
Rayaane Maalaoui
Khalifa Trimeche

Abstract

By using the Heckman-Opdam theory on Rd given in [20], we define and study in this paper, the generalized wavelets on Rd and the generalized wavelet transform on Rd, and we establish their properties. Next, we prove for the generalized wavelet transform Plancherel and inversion formulas.


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