Mean value property of \(\Delta _k\)-harmonic functions on \(W\)-invariant open sets

DOI10.1007/S13370-016-0408-1zbMath1383.31003OpenAlexW2296360463MaRDI QIDQ680234

Kods Hassine

Publication date: 22 January 2018

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-016-0408-1

zbMATH Keywords

mean value propertyDunkl Laplacian\(\Delta _k\)-harmonic functions

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Related Items (4)

Potential theory associated with the Dunkl Laplacian ⋮ On the Green function and Poisson integrals of the Dunkl Laplacian ⋮ Green function and Poisson kernel associated to root systems for annular regions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Generalized Hermite polynomials and the heat equation for Dunkl operators
• Markov processes related with Dunkl operators
• The Dunkl transform
• Reflection groups and orthogonal polynomials on the sphere
• Positivity of Dunkl's intertwining operator
• Mean value properties for Dunkl-harmonic and Dunkl-polyharmonic functions
• Harmonic functions associated to Dunkl operators
• Differential-Difference Operators Associated to Reflection Groups
• Integral Kernels with Reflection Group Invariance
• On a mean value property associated with the dunkl laplacian operator and applications
• Hypoellipticity and hypoanalyticity of the Dunkl Laplacian operator
• Paley-Wiener Theorems for the Dunkl Transform and Dunkl Translation Operators
• A positive radial product formula for the Dunkl kernel

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