On semigroups generated by sums of even powers of Dunkl operators
From MaRDI portal
Publication:2039327
DOI10.1007/s00020-021-02646-4zbMath1486.47078arXiv1905.07344OpenAlexW3172796373MaRDI QIDQ2039327
Agnieszka Hejna, Jacek Dziubański
Publication date: 2 July 2021
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1905.07344
One-parameter semigroups and linear evolution equations (47D06) Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10) Other transforms and operators of Fourier type (43A32) Harmonic analysis and PDEs (42B37)
Related Items
Remarks on Dunkl translations of non-radial kernels, Heat kernel estimates for fourth order non-uniformly elliptic operators with non strongly convex symbols, Logarithmic Sobolev inequalities for Dunkl operators with applications to functional inequalities for singular Boltzmann-Gibbs measures, Upper and lower bounds for Littlewood–Paley square functions in the Dunkl setting
Cites Work
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- Semigroups of linear operators and applications to partial differential equations
- Generalized Hermite polynomials and the heat equation for Dunkl operators
- The Dunkl transform
- Reflection groups and orthogonal polynomials on the sphere
- Asymptotic analysis for the Dunkl kernel
- Uniformly elliptic operators with measurable coefficients
- Positivity of Dunkl's intertwining operator
- Dunkl-Schrödinger operators
- Hörmander's multiplier theorem for the Dunkl transform
- Harmonic functions, conjugate harmonic functions and the Hardy space \(H^1\) in the rational Dunkl setting
- Convolution operator and maximal function for the Dunkl transform
- A new mean value property for harmonic functions relative to the Dunkl-Laplacian operator and applications
- On semigroups generated by left-invariant positive differential operators on nilpotent Lie groups
- Differential-Difference Operators Associated to Reflection Groups
- Integral Kernels with Reflection Group Invariance
- Note on semigroups generated by positive Rockland operators on graded homogeneous groups
- L p Spectral Theory of Higher-Order Elliptic Differential Operators
- Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
- A positive radial product formula for the Dunkl kernel
- On positive Rockland operators
- Remark on atomic decompositions for the Hardy space $H^1$ in the rational Dunkl setting
