Results 131 to 140 of about 2,908 (161)
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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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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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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 analogue of Szasz operators
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Singular Integral Operators in Dunkl Setting
Journal of Lie Theory, 2012The paper deals with vector-valued inequalities in a setting of weighted Lebesgue measures \(\mu_k\) invariant under the action of a reflection group \(G\). The authors first present a theorem for Banach-valued singular integral operators. More precisely, let \(\mathfrak B_1, \mathfrak B_2\) be two Banach spaces and let \(T: L^r_k(\mathbb R^N ...
Amri, Béchir, Sifi, Mohamed
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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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Concentration Operators in the Dunkl Wavelet Theory
Mediterranean Journal of Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Dunkl convolution operators and their properties
Doklady Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zabirova, K. R., Napalkov, V. V.
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On the images of Dunkl–Sobolev spaces under the Schrödinger semigroup associated to Dunkl operators
Journal of Pseudo-Differential Operators and Applications, 2017The authors first give an introduction to Dunkl operators, the Dunkl transform, and some results on the heat kernel transform which are necessary to prove their main results. Then they identify the image of \(L^2(\mathbb{R}^n, e^{u^2}h_\mu(u)du)\) under the Schrödinger semigroup \(e^{it\Delta_\mu}\) as a reproducing kernel Hilbert space.
C. Sivaramakrishnan +2 more
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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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