scholarly journals A transference theorem for the Dunkl transform and its applications

2010 ◽  
Vol 258 (12) ◽  
pp. 4052-4074 ◽  
Author(s):  
Feng Dai ◽  
Heping Wang
Keyword(s):  
Dunkl Transform ◽  
Transference Theorem

Miyachi's theorem for the Dunkl transform

2011 ◽  
Vol 22 (3) ◽  
pp. 167-173 ◽  
Author(s):  
F. Chouchene ◽  
R. Daher ◽  
T. Kawazoe ◽  
H. Mejjaoli
Keyword(s):  
Dunkl Transform ◽  
Miyachi’S Theorem

scholarly journals Dunkl transform of $(\beta, \gamma)$-Dunkl Lipschitz functions

2014 ◽  
Vol 90 (9) ◽  
pp. 135-137 ◽  
Author(s):  
Radouan Daher ◽  
Mustapha Boujeddaine ◽  
Mohamed El Hamma
Keyword(s):  
Lipschitz Functions ◽  
Dunkl Transform

Linear and Bilinear Multiplier Operators for the Dunkl Transform

2010 ◽  
Vol 7 (4) ◽  
pp. 503-521 ◽  
Author(s):  
Bechir Amri ◽  
Abdessalem Gasmi ◽  
Mohamed Sifi
Keyword(s):  
Dunkl Transform ◽  
Multiplier Operators

A variety of uncertainty principles for the Dunkl transform on ℝd

2020 ◽  
pp. 2150077
Author(s):  
Fethi Soltani
Keyword(s):  
Dunkl Transform ◽  
Uncertainty Principles ◽  
Local Type ◽  
Heisenberg Type ◽  
Uncertainty Inequalities

In this work, we prove Clarkson-type and Nash-type inequalities in the Dunkl setting on [Formula: see text] for [Formula: see text]-functions. By combining these inequalities, we show Heisenberg-type inequalities for the Dunkl transform on [Formula: see text], and we deduce local-type uncertainty inequalities for the Dunkl transform on [Formula: see text].

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