Results 81 to 90 of about 1,609 (94)

Generalized Fock spaces and Weyl relations for the Dunkl kernel on the real line

Journal of Mathematical Analysis and Applications, 2002
The ordinary Fock space is the Hilbert space \(F\) of entire functions \(f(z)= \sum^\infty_{n=0} a_nz^n\), \(g(z)= \sum^\infty_{n=0} c_nz^n\) with inner product \[ (f,g)= \sum^\infty_{n=0} a_n\overline c_nn! \] The present paper studies a generalized Fock space \(F_\alpha\) for \(\alpha> -1/2\) in which the inner product is \[ (f,g)_\alpha= \sum ...
Fethi Soltani
exaly   +2 more sources

Dunkl kernel and Dunkl translation for a positive subsystem of orthogonal roots

Advances in Pure and Applied Mathematics, 2013
exaly   +2 more sources

Fischer Decomposition and Cauchy Kernel for Dunkl–Dirac operators

Advances in Applied Clifford Algebras, 2009
In this paper we present a Fischer decomposition for Dirac operator and an explicit construction of a Cauchy kernel for Dunkl-monogenic functions.
Paula Cerejeiras, Uwe Kahler
exaly   +2 more sources

Dunkl–Weinstein Multiplier Operators and Applications to Reproducing Kernel Theory

Mediterranean Journal of Mathematics
Using the theory of the Dunkl-Weinstein transform, the authors study the Dunkl-Weinstein multiplier operators on the Paley-Wiener space and examine the extremal function associated with the multiplier operators. Moreover, the authors obtain the best approximation of the multiplier operators.
Fethi Soltani
exaly   +3 more sources

Description of unconditional bases formed by values of the Dunkl kernels

Functional Analysis and Its Applications, 2015
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Gubreev, G. M., Levchuk, V. N.
openaire   +1 more source

Dual Laplace integral transforms associated to Jacobi-Dunkl kernel

Integral Transforms and Special Functions
Frej Chouchene
exaly   +2 more sources

Multivariable Al-Salam & Carlitz Polynomials Associated with the TypeA q-Dunkl Kernel

Mathematische Nachrichten, 2000
Peter J Forrester
exaly  

The Dunkl intertwining operator

Journal of Functional Analysis, 2009
M Maslouhi
exaly  

An analog of Titchmarsh's Theorem for the Dunkl transform

Integral Transforms and Special Functions, 2010
M Maslouhi
exaly  

Practical inversion formulas for the Dunkl–Gabor transform on ℝd

Integral Transforms and Special Functions, 2012
Hatem Mejjaoli
exaly