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ALMOST-PERIODIC FUNCTIONS AND DISTRIBUTIONS ASSOCIATED WITH THE DUNKL OPERATOR ON R
Dunkl operator Bohr-almost-periodic functions Bohr-almost-periodic distributions Generalized-almost-periodic functions Generalized-almost-periodic distributions intertwining operator Fourier-Dunkl expansion Dunkl-Poisson formula
2008/11/28
Almost periodic functions and distributions associated with the differential-difference
Dunkl operator Dμ of index μ on R are introduced and studied in this work. We give
their expansions in terms o...
Characterization of Besov Spaces for the Dunkl Operator on the Real Line
Dunkl operators Dunkl transform Dunkl translation operators Dunkl convolution Besov-Dunkl spaces
2008/7/1
In this paper, we define subspaces of by differences using the Dunkl translation operators that we call Besov-Dunkl spaces. We provide characterization of these spaces by the Dunkl convolution.