On the Pizzetti's formula for the Heisenberg group

DOI10.1080/10652460802091757zbMath1154.22014OpenAlexW2108683596MaRDI QIDQ3541144

Aleksander Strasburger, Marta Pawełko-Grzybowska

Publication date: 25 November 2008

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460802091757

zbMATH Keywords

Heisenberg groupgeneralized spherical meanPizzetti's formulaKoranyi sphereHeisenberg-Laplace operator

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Series expansions of functions of one complex variable (30B99)

Related Items (1)

Pizzetti's formula for H-type groups

Cites Work

• Unnamed Item
• Deux cours d'analyse harmonique. École d'Été d'Analyse Harmonique de Tunis, 1984
• Expansion of the Heisenberg integral mean via iterated Kohn Laplacians: A Pizzetti-type formula
• Mean values and differential equations
• Spherical Harmonics on the Heisenberg Group
• A fundamental solution for a subelliptic operator

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