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

scholarly journals Convolution operator and maximal function for the Dunkl transform

2005 ◽  
Vol 97 (1) ◽  
pp. 25-55 ◽  
Author(s):  
Sundaram Thangavelu ◽  
Yuan Xu
Keyword(s):  
Maximal Function ◽  
Convolution Operator ◽  
Dunkl Transform

scholarly journals Approximate solutions of equations defined by complex spherical multiplier operators

2005 ◽  
Vol 2005 (2) ◽  
pp. 93-115
Author(s):  
C. P. Oliveira
Keyword(s):  
Approximate Solutions ◽  
Positive Definite ◽  
Positive Definite Functions ◽  
Sobolev Type ◽  
Sobolev Type Spaces ◽  
Type Spaces ◽  
Solutions Of Equations ◽  
Multiplier Operators

This paper studies, in a partial but concise manner, approximate solutions of equations defined by complex spherical multiplier operators. The approximations are from native spaces embedded in Sobolev-type spaces and derived from the use of positive definite functions to perform spherical interpolation.

Bohman extremal problem for the Dunkl transform

2017 ◽  
Vol 297 (S1) ◽  
pp. 88-96
Author(s):  
D. V. Gorbachev ◽  
V. I. Ivanov
Keyword(s):  
Extremal Problem ◽  
Dunkl Transform ◽  
Bohman Extremal Problem

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

Real Paley-Wiener type theorems for the Dunkl transform on ${\mathcal{S}}'(\mathbb{R}^{d})$

2009 ◽  
Vol 19 (2) ◽  
pp. 225-236
Author(s):  
Sihem Ayadi ◽  
Slaim Ben Farah
Keyword(s):  
Dunkl Transform ◽  
Wiener Type

scholarly journals Riesz Potential and Maximal Function for Dunkl transform

2020 ◽  
Author(s):  
D. V. Gorbachev ◽  
V. I. Ivanov ◽  
S. Yu. Tikhonov
Keyword(s):  
Maximal Function ◽  
Riesz Potential ◽  
Dunkl Transform
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