Results 111 to 120 of about 160 (141)
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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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Dunkl analogue of Szasz operators
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Burchnall–Chaundy polynomials and Dunkl–Darboux operators
Mathematical Notes, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Psedidifferential-difference operators associated with dunkl operators
Integral Transforms and Special Functions, 2001In this paper, we consider the Dunkl operator ⋀αof index (α+½),α≥−½ associated with the reflexion group Z2 on R. We introduce pseudodifferential-difference operators and sobolev type spaces, associated with ⋀α and using the harmonic analysis associated with ⋀α, we study some of their ...
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Dunkl-Darboux differential-difference operators
Izvestiya: Mathematics, 2017Using a natural generalization, we construct and study analogues of Dunkl differential-difference operators on the line. These analogues turn out to be closely connected with the so-called Burchnall– Chaundy–Adler–Moser polynomials and, therefore, with Darboux transforms. We find the eigenfunctions of these operators.
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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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