The wave equation for Dunkl operators
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Publication:855591
DOI10.1016/S0019-3577(05)80032-1zbMath1116.35077OpenAlexW2067723191MaRDI QIDQ855591
Publication date: 7 December 2006
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0019-3577(05)80032-1
Representation theory for linear algebraic groups (20G05) Reflection and Coxeter groups (group-theoretic aspects) (20F55) Initial value problems for second-order hyperbolic equations (35L15)
Related Items (11)
Segal-Bargmann transforms associated with finite Coxeter groups ⋮ Nonlinear Dunkl-wave equations ⋮ Sonine Formulas and Intertwining Operators in Dunkl Theory ⋮ Global well-posedness and scattering for a class of nonlinear Dunkl-Schrödinger equations ⋮ Nonlinear generalized Dunkl-wave equations and applications ⋮ \(L^p-L^q\) estimates for the solution of the Dunkl wave equation ⋮ The range of the spectral projection associated with the Dunkl Laplacian ⋮ Solution of Integral Equations by Dunkl and Distributional Dunkl Transform ⋮ On the integrability of a representation of \(\mathfrak{sl}(2,\mathbb R)\) ⋮ On the boundedness of the Dunkl spherical maximal operator ⋮ \(L^p\) estimates for an oscillating Dunkl multiplier
Cites Work
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- The conformal invariance of Huygen's principle
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- Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
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- Markov processes related with Dunkl operators
- The Dunkl transform
- Huygens' principle in Riemannian symmetric spaces
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- Integral geometry and multitemporal wave equations
- On a mean value property associated with the dunkl laplacian operator and applications
- Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
- A positive radial product formula for the Dunkl kernel
- Mean-periodic functions associated with the Dunkl operators
- Huygens' principle and integrability
- Paley–Wiener theorems for the Dunkl transform
- On the Asymptotic Behavior of Solutions of the Wave Equations
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