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Dunkl Processes and Intertwining Operators
Dunkl Processes and Intertwining Operatorsapplication ...
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Multilinear Dunkl Multiplier Operators
The Journal of Geometric AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peng, Zi, Zhao, Jiman
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Dunkl operators as convolutions
Doklady Mathematics, 2008Let \(\varphi \) be an analytic function of entire type with \(\varphi (0)=0\) and define the operator \(A\) on \(H(\mathbb C)\), the space of entire functions, by \[ A(f)=\frac1z\sum_{k=0}^\infty \varphi (k)c_kz^k,\quad f(z)=\sum_{k=1}^\infty c_kz^k\in H(\mathbb C).
Napalkov, V. V., Napalkov, V. V. jun.
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Journal of the Physical Society of Japan, 1995
Summary: The Dunkl operator is constructed based on the Yang-Baxter equation. We regard the \(R\)- and \(K\)-matrix,which satisfy the Yang-Baxter equation and th boundary Yang-Baxter equation,as operators acting on the functional space.In terms of these \(R\)- and \(K\)-operators acting on the functional space.In terms of these \(R\)- and \(K ...
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Summary: The Dunkl operator is constructed based on the Yang-Baxter equation. We regard the \(R\)- and \(K\)-matrix,which satisfy the Yang-Baxter equation and th boundary Yang-Baxter equation,as operators acting on the functional space.In terms of these \(R\)- and \(K\)-operators acting on the functional space.In terms of these \(R\)- and \(K ...
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The Dunkl-Hausdorff operators and the Dunkl continuous wavelets transform
Journal of Pseudo-Differential Operators and Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Radouan Daher, Faouaz Saadi
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Bethe–Dunkl Variety Associated with Dunkl–Darboux Operators
Journal of Mathematical ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Transmutation Operators For Ordinary Dunkl–Darboux Operators
2020The study is developed of transmutation operators for differential-difference operators, analogous to Dunkl operator. The basis for the study of operators’ properties is the intertwining operator and Darboux transformations theories.
S. P. Khekalo +2 more
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Sharp Bernstein Inequalities for Jacobi–Dunkl Operators
Mathematical Notes, 2022The author finds sharp constants in the Bernstein inequality \[ \|\Lambda^r_{\alpha,\beta}f\|\le M\,\|f\| \] for the Jacobi-Dunkl differential-difference operator \(\Lambda_{\alpha,\beta}\): \[ \Lambda_{\alpha,\beta}f(x)=f'(x)+\frac{A'_{\alpha,\beta}(x)}{A_{\alpha,\beta}(x)}\, \frac{f(x)-f(-x)}{2}.
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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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Almansi decomposition for Dunkl operators
Science in China Series A: Mathematics, 2005Let Ω be a G-invariant convex domain in ℝN including 0, where G is a Coxeter group associated with reduced root system R. We consider functions f defined in Ω which are Dunkl polyharmonic, i.e. (Δh)nf = 0 for some integer n. Here333-01is the Dunkl Laplacian, and Dj is the Dunkl operator attached to the Coxeter group G,
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