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Dunkl multiplier operators and applications
Integral Transforms and Special Functions, 2014We study some class of Dunkl multiplier operators; and we establish for them some versions of uncertainty principles. For these operators we give also an application of the theory of reproducing kernels to the Tikhonov regularization on the Sobolev–Dunkl spaces.
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Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
Integral Transforms and Special Functions, 2002We use the Dunkl intertwining operator V_k and its dual ^tV_k to prove a Paley-Wiener theorem for the Dunkl transform, for functions and distributions, and geometric forms of this theorem. These operators permit also to define and study Dunkl translation operators and Dunkl convolution product.
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Finite-dimensional representations of the symmetry algebra of the dihedral Dunkl–Dirac operator
Journal of Algebra, 2022Hendrik De Bie +2 more
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Positive $$L^p$$ L p -Bounded Dunkl-Type Generalized Translation Operator and Its Applications
Constructive Approximation, 2018Dmitry Gorbachev, Sergey Tikhonov
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Multiplier operators and extremal functions related to the dual dunkl-sonine operator
Acta Mathematica Scientia, 2013Fethi Soltani
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Harmonic analysis associated with the Jacobi–Dunkl operator on
Journal of Computational and Applied Mathematics, 2005Frej Chouchene
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