Dunkl operator
Equivalence of K Functionals and Modulus of Smoothness Generated by a Generalized Dunkl Operator on the Real Line
... The authors have developed in [7] [8] a new harmonic analysis on the real line related to the differential-dif- ference operator Λ in which several classical analytic structures such as the Fourier transform, the ...
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Dunkl wavelets and applications to inversion of the Dunkl intertwining operator and its dual
... These operators are very important in mathematics and physics. They allow the devel- opment of generalized wavelets from generalized continuous classical wavelet analysis. Moreover, we have proved in [2] that the ...
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Optimality and Duality Defined by the Concept of Tempered Fractional Univex Functions in Multi-Objective Optimization
... this operator and its some simplifications have improved significant care in many fields of mathematics and ...Furthermore, Dunkl operator is obviously convoluted in the algebraic explanation of ...
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Calderon’s reproducing formula for Dunkl convolution
... the Dunkl operator are differential-difference operator introduced by Dunkl [1] and are denoted by , where is real parameter 1 / 2 ....These operator associated with the ...
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2. Generalized $q$-Hermite Polynomials and the $q$-Dunkl Heat Equation
... Sturm-Liouville operator by studying the corresponding heat ...the Dunkl operator in several ...the Dunkl operator in one variable and used them to study the Bose-like ...
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Dunkl Lipschitz functions for the Generalized Fourier-Dunkl Transform in the Space L2
... the Dunkl operator of index α + 1/2 associated with the re- flection group Z 2 on R ...by Dunkl (see [3], [7]) in connection with a generalization of the classical theory of spherical ...
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Decomposition of Polyharmonic Functions with Respect to the Complex Dunkl Laplacian
... With Dunkl operators in place of the usual partial derivatives, one can define the Laplacian in the Dunkl setting, which is a parametrized operator and invariant under reflection ...
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The Continuous Wavelet Transform Associated with a Dunkl Type Operator on the Real Line
... by Dunkl [1-3] in connection with a generalization of the classical theory of spherical ...the Dunkl operator has quantum-mechanical applications; it is naturally involved in the study of one- ...
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Fock Spaces for the q Dunkl Kernel
... Next, we study the multiplication operator Q by z and the q-Dunkl operator q , on the Fock space q , ; and we prove that these operators are adjoint-operators and continuous from th[r] ...
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Some results for the Jacobi-Dunkl transform in the space $L^{2}(\mathbb{R},A_{\alpha,\beta}(t)dt)$
... In section 2 below, we recapitulate from [[1],[2],[3],[5]] some results related to the harmonic analysis associated with Jacobi-Dunkl operator Λ α,β . Section 3 is devoted to the main result after defining ...
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A Real Paley-Wiener Theorem for the Generalized Dunkl Transform
... the Dunkl operator and the Dunkl transform, and we give also some facts about harmonic analysis related to the first-order singular differential-difference operator Λ α,n , and the generalized ...
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Convolution Operators and Bochner Riesz Means on Herz Type Hardy Spaces in the Dunkl Setting
... By using the technique of Herz-type Hardy spaces for the Dunkl operator Λα , we are attempting in this paper to study the Dunkl convolution operators, and we establish a version of multi[r] ...
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ON THE BOUNDEDNESS OF DUNKL-TYPE FRACTIONAL INTEGRAL OPERATOR IN THE GENERALIZED DUNKL-TYPE MORREY SPACES
... [16] V.S. Guliyev and J.J. Hasanov, Necessary and sufficient conditions for the boundedness of Riesz potential associated with the Laplace-Bessel differen- tial operator in Morrey spaces, J. Math. Anal. Appl., 347 ...
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Heat stress assessment according to the wet-bulb globe temperature (WBGT) index among workers of a steel mill in 2014
... furnace operator, lift operator, ruffing operator, wrench operator, rolling work operator, scissors operator, lathe operator, hydraulic jack operator, packing ...
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On Estimates for the Dunkl Transform in the Space L2,α(R)
... define Dunkl transform which was introduced by Dunkl in ...that Dunkl kernels verify a product formula. This allows us to define Dunkl translation operators T h , h ∈ R ...
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Dunkl Generalization of q-Parametric Szasz-Mirakjan Operators
... Abstract. In this paper, we construct q-parametric Sz´ asz-Mirakjan operators generated by the q- Dunkl generalization of the exponential function. We obtain Korovkin’s type approximation theorem and compute ...
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Dunkl generalization of Szász operators via q calculus
... We construct the linear positive operators generated by the q-Dunkl generalization of the exponential function. We have approximation properties of the operators via a universal Korovkin-type theorem and a ...
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Dirichlet type problems for Dunkl-Poisson equations
... Using Almansi representations, Karachik constructed solutions of initial and boundary value problems for partial differential equations in real analysis, such as Dirichlet prob- lems, Neumann problems, and Riqurie ...
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5. The Kunze-Stein Phenomenon Associated With Jacobi-Dunkl convolution
... The main purpose of this paper is to establish the endpoint es- timate for the Kunze-Stein phenomenon in Lorentz spaces associated with Jacobi-Dunkl convolution.. Introduction.[r] ...
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Generalization of Dunkl Dini Lipschitz Functions
... the Dunkl operators D j , 1 ≤ j ≤ d, on R d which are the differential- dif- ference operators introduced by Dunkl in ...of Dunkl operators provides generalizations of various multivariable analytic ...
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