scholarly journals A support theorem for the Dunkl spherical mean operator

2020 ◽  
Vol 149 (1) ◽  
pp. 279-284
Author(s):  
Salem Ben Saïd
Keyword(s):  
Spherical Mean Operator ◽  
Support Theorem ◽  
Spherical Mean

scholarly journals Spaces ofDLptype and a convolution product associated with the spherical mean operator

2005 ◽  
Vol 2005 (3) ◽  
pp. 357-381 ◽  
Author(s):  
M. Dziri ◽  
M. Jelassi ◽  
L. T. Rachdi
Keyword(s):  
Harmonic Analysis ◽  
Dual Space ◽  
Convolution Product ◽  
Spherical Mean Operator ◽  
Spherical Mean

We define and study the spacesℳp(ℝ×ℝn),1≤p≤∞, that are ofDLptype. Using the harmonic analysis associated with the spherical mean operator, we give a new characterization of the dual spaceℳ′p(ℝ×ℝn)and describe its bounded subsets. Next, we define a convolution product inℳ′p(ℝ×ℝn)×Mr(ℝ×ℝn),1≤r≤p<∞, and prove some new results.

scholarly journals Ranges and Inversion Formulas for Spherical Mean Operator and Its Dual

1995 ◽  
Vol 196 (3) ◽  
pp. 861-884 ◽  
Author(s):  
M.M. Nessibi ◽  
L.T. Rachdi ◽  
K. Trimeche
Keyword(s):  
Spherical Mean Operator ◽  
Inversion Formulas ◽  
Spherical Mean ◽  
And Inversion

Fock Spaces Connected with Spherical Mean Operator and Associated Operators

2009 ◽  
Vol 6 (1) ◽  
pp. 1-25 ◽  
Author(s):  
Cyrine Baccar ◽  
Slim Omri ◽  
Lakhdar T. Rachdi
Keyword(s):  
Fock Spaces ◽  
Spherical Mean Operator ◽  
Spherical Mean ◽  
Associated Operators
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