Results 91 to 100 of about 2,888 (114)

Dunkl operators as convolutions

Doklady Mathematics, 2008
Let \(\varphi \) 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 Analysis
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Peng, Zi, Zhao, Jiman
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Dunkl analogue of Szasz operators

Applied Mathematics and Computation, 2014
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Singular Integral Operators in Dunkl Setting

Journal of Lie Theory, 2012
The 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 Sciences
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Concentration Operators in the Dunkl Wavelet Theory

Mediterranean Journal of Mathematics, 2017
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Dunkl convolution operators and their properties

Doklady Mathematics, 2013
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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, 2017
The 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, D. Sukumar, D. Venku Naidu   +2 more
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Almansi decomposition for Dunkl operators

Science in China Series A: Mathematics, 2005
Let 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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Approximation by Phillips operators via q-Dunkl generalization based on a new parameter

Journal of King Saud University - Science, 2021
Abdullah Alotaibi, Nasiruzzaman, M Mursaleen   +2 more
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