On a q-Dunkl sonine transform

Authors

  • Lassad Bennasr
  • Rym Hasna Bettaieb Department of Mathematics, Faculty of Sciences - King Faisal University P.O. Box 400, 31982 Al-Ahasa, Kingdom of Saudi Arabia
  • Ferjani Nouri Institut preparatoire aux etudes d'ingenieur de Nabeul, 8000 Nabeul, Tunisia

Keywords:

Transmutation operators, q-Dunkl transform, q-Dunkl Sonine, q-wavelets, inversion formulas

Abstract

In this paper, we introduce and study the q-Dunkl Sonine transform and we establish a Plancherel formula for its dual. Furthermore we give many inversion formulas.

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Published

2013-05-07

Issue

Vol. 68 No. 1 (2013)

Section

Articoli

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