Some Results for the Windowed Fourier Transform Related to the Spherical Mean Operator

2020 ◽  
Author(s):  
Khaled Hleili
Keyword(s):  
Fourier Transform ◽  
Spherical Mean Operator ◽  
Windowed Fourier Transform ◽  
Spherical Mean

AN ANALOGUE OF COWLING–PRICE'S THEOREM AND HARDY'S THEOREM FOR THE GENERALIZED FOURIER TRANSFORM ASSOCIATED WITH THE SPHERICAL MEAN OPERATOR

2004 ◽  
Vol 02 (03) ◽  
pp. 177-192 ◽  
Author(s):  
C. CHETTAOUI ◽  
Y. OTHMANI ◽  
K. TRIMÈCHE
Keyword(s):  
Fourier Transform ◽  
Harmonic Analysis ◽  
Generalized Fourier Transform ◽  
Spherical Mean Operator ◽  
Hardy’S Theorem ◽  
Spherical Mean

Using the harmonic analysis associated with the spherical mean operator R and its dualtR we establish an analogue of Cowling–Price's theorem and Hardy's theorem for the spherical mean operator R.

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