An extension of Pizzetti's formula associated with the Dunkl operators

DOI10.1007/978-3-030-78346-4_13zbMath1486.33016arXiv2006.03223OpenAlexW3214103265MaRDI QIDQ2072621

Naoya Tani, Nobukazu Shimeno

Publication date: 26 January 2022

Full work available at URL: https://arxiv.org/abs/2006.03223

zbMATH Keywords

harmonic polynomialsDunkl operatorsPizzetti's formula

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Orthogonal polynomials and functions associated with root systems (33C52) The Levi problem in complex spaces; generalizations (32C55)

Cites Work

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• A PROOF OF HOBSON'S FORMULA WITH THE EULER OPERATOR
• On Pizzetti’s formula
• Hobson's formula for Dunkl operators and its applications
• Approximation Theory and Harmonic Analysis on Spheres and Balls
• Spherical harmonics and integration in superspace
• Orthogonal Polynomials of Several Variables

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