ON A q-DUNKL SONINE TRANSFORM

Lassad Bennasr; Rym Hasna Bettaieb; Ferjani Nouri

doi:10.4418/2013.68.1.14

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ON A q-DUNKL SONINE TRANSFORM

Lassad Bennasr, Rym Hasna Bettaieb and Ferjani Nouri

Matematiche, Vol.68(1), pp.179-199

01/05/2013

DOI: https://doi.org/10.4418/2013.68.1.14

Abstract

Mathematics

Physical Sciences

Science & Technology

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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Title: ON A q-DUNKL SONINE TRANSFORM
Creators - without role: Lassad Bennasr - Inst Preparatoire Etud Ingenieur Elmanar, Dept Math & Informat, Tunis, Tunisia
Rym Hasna Bettaieb - King Faisal University
Ferjani Nouri - Inst Preparatoire Etud Ingenieur Nabeul, Dept Math & Informat, Nabeul 8000, Tunisia
Publication Details: Matematiche, Vol.68(1), pp.179-199
Publisher: Univ Studi Catania, Dipt Matematica
Number of pages: 21
Identifiers: 9915875608331
Academic Unit: Imam Abdulrahman Bin Faisal University; King Faisal University
Language: English
Resource Type: Journal article