Upper and lower bounds for the Dunkl heat kernel
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Publication:2099835
DOI10.1007/s00526-022-02370-wOpenAlexW3213420738WikidataQ115385795 ScholiaQ115385795MaRDI QIDQ2099835
Agnieszka Hejna, Jacek Dziubański
Publication date: 18 November 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.03513
Integral transforms of special functions (44A20) Difference operators (39A70) Other transforms and operators of Fourier type (43A32) Orthogonal polynomials and functions associated with root systems (33C52) Heat kernel (35K08)
Related Items (4)
Lipschitz and Triebel-Lizorkin spaces, commutators in Dunkl setting ⋮ Sharp estimates for \(W\)-invariant Dunkl and heat kernels in the \(A_n\) case ⋮ Freezing limits for Calogero–Moser–Sutherland particle models ⋮ Remarks on Dunkl translations of non-radial kernels
Cites Work
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- Positivity of Dunkl's intertwining operator
- On the representing measures of Dunkl's intertwining operator
- Dunkl-Schrödinger operators
- Harmonic functions, conjugate harmonic functions and the Hardy space \(H^1\) in the rational Dunkl setting
- Differential-Difference Operators Associated to Reflection Groups
- Support properties of the intertwining and the mean value operators in Dunkl theory
- A positive radial product formula for the Dunkl kernel
- Remark on atomic decompositions for the Hardy space $H^1$ in the rational Dunkl setting
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