Cubature formulae associated with the Dunkl Laplacian

DOI10.1007/s00025-010-0035-3zbMath1200.41032OpenAlexW1986942255MaRDI QIDQ708731

Kamel Touahri, Néjib Ben Salem

Publication date: 14 October 2010

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-010-0035-3

zbMATH Keywords

cubature formulamean value propertyDunkl Laplacian\(k\)-polyharmonic function

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Cites Work

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• Pizzetti series and polyharmonicity associated with the Dunkl Laplacian
• Almansi decomposition for Dunkl operators
• Gaussian extended cubature formulae for polyharmonic functions
• Differential-Difference Operators Associated to Reflection Groups
• On a mean value property associated with the dunkl laplacian operator and applications
• The dunkel intertwining operator on spaces of functions and distributions and integral representation of its dual
• Power Series Expansions for Harmonic Functions
• An extension of the Pizzetti formula for polyharmonic functions

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