CALDERON-REPRODUCING FORMULA FOR THE CONTINUOUS WAVELET TRANSFORM RELATED TO THE WEINSTEIN OPERATOR

Khaled Hleili; Manel Hleili

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CALDERON-REPRODUCING FORMULA FOR THE CONTINUOUS WAVELET TRANSFORM RELATED TO THE WEINSTEIN OPERATOR

Khaled Hleili and Manel Hleili

Bulletin of Mathematical Analysis and Applications, Vol.10(4), pp.31-44

01/01/2018

Abstract

Mathematics

Physical Sciences

Science & Technology

In this paper, we introduce the continuous wavelet transform associated with the Weinstein operator and we prove for this transform a reproducing inversion formulas of Calderon's type. Next, we study the extremal functions associated to the continuous wavelet transform.

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Title: CALDERON-REPRODUCING FORMULA FOR THE CONTINUOUS WAVELET TRANSFORM RELATED TO THE WEINSTEIN OPERATOR
Creators - without role: Khaled Hleili - Northern Border University
Manel Hleili - Univ Tunis El Manar, Fac Sci Tunis, Tunis, Tunisia
Publication Details: Bulletin of Mathematical Analysis and Applications, Vol.10(4), pp.31-44
Publisher: Int Center Scientific Research & Studies
Number of pages: 14
Grant note: SCI-2017-1-7-F-7032 / Deanship of the Scientific Research in Northern Border University (N.B.U.), Arar, KSA
Identifiers: 9919013508331
Academic Unit: Northern Borders University; University of Tabuk
Language: English
Resource Type: Journal article