The two-sided quaternionic dunkl transform and hardy’s theorem

2022 ◽  
Author(s):  
Mohamed Essenhajy ◽  
Said Fahlaoui
Keyword(s):  
Dunkl Transform ◽  
Hardy’S Theorem

Hardy's theorem and rotation for Dunkl transform

2020 ◽  
Vol 66 (1) ◽  
pp. 71-83
Author(s):  
Partha Sarathi Patra ◽  
Venku Naidu Dogga
Keyword(s):  
Dunkl Transform ◽  
Hardy’S Theorem

scholarly journals An LP version of Hardy's theorem for the Dunkl transform

2004 ◽  
Vol 77 (3) ◽  
pp. 371-386 ◽  
Author(s):  
Léonard Gallardo ◽  
Khalifa Trimèche
Keyword(s):  
Dunkl Transform ◽  
Lebesgue Spaces ◽  
Hardy’S Theorem ◽  
Measurable Functions

AbstractIn this paper, we give a generalization of Hardy's theorems for the Dunkl transform ℱD on ℝd. More precisely for all a > 0, b > 0 and p, q ∈ [1, + ∞], we determine the measurable functions f on ℝd such that where are the Lebesgue spaces associated with the Dunkl transform.

AnLpversion of Hardy's theorem for the Jacobi–Dunkl transform

2004 ◽  
Vol 15 (3) ◽  
pp. 225-237 ◽  
Author(s):  
F. Chouchane* ◽  
M. Mili† ◽  
K. Trimèche‡
Keyword(s):  
Dunkl Transform ◽  
Hardy’S Theorem

Hardy's Theorem for n Spin- s Particles in Entanglement

1998 ◽  
Vol 30 (1) ◽  
pp. 17-20
Author(s):  
Wu Xiaohua ◽  
Zhao Yumin ◽  
Hsia Yuanfu
Keyword(s):  
Hardy’S 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
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