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The multiplier of the interval [−1, 1] for the Dunkl transform of arbitrary order on the real line.

Authors :
Ciaurri, Óscar
Roncal, Luz
Varona, Juan L.
Source :
Integral Transforms & Special Functions. Sep2015, Vol. 26 Issue 9, p728-736. 9p.
Publication Year :
2015

Abstract

We study the boundedness of the multiplier of the intervalfor the Dunkl transform of orderon weightedspaces, with. In particular, we get that it is bounded frominto itself if and only ifwhenor if and only ifwhen. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10652469
Volume :
26
Issue :
9
Database :
Academic Search Index
Journal :
Integral Transforms & Special Functions
Publication Type :
Academic Journal
Accession number :
103104858
Full Text :
https://doi.org/10.1080/10652469.2015.1038707