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On Heisenberg and Local Uncertainty Principles for the $q$-Dunkl Transform
$q$-Dunkl transform Heisenberg-Weyl inequality Local uncertainty principles
2010/1/22
In this paper, we provide, for the q-Dunkl transform studied in [2], a Heisenberg uncertainty principle and two local uncertainty principles leading to a new Heisenberg-Weyl type inequality.
DUNKL TRANSFORM ON BESOV SPACES AND HERZ SPACES
Dunkl operators Dunkl transform Dunkl translation operators Dunkl convolution Besov spaces Herz spaces
2008/11/25
In this paper, we establish on Rd that the Dunkl transform maps the Besov spaces
into a class of Herz spaces.
FURTHER RESULTS OF INTEGRABILITY FOR THE DUNKL TRANSFORM
Dunkl operators Dunkl kernel Dunkl transform Dunkl translation operators
2008/11/25
In this paper, we establish further results concerning integrability of the Dunkl transform
of function f on R and in radial case on Rd, when f satisfies a suitable condition.