Integrable harmonic functions on \(\mathbb{R}^ n\)

DOI10.1006/jfan.1997.3126zbMath0889.43004OpenAlexW2091006045MaRDI QIDQ1376561

Yitzhak Weit, Yaakov Ben Natan

Publication date: 11 June 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3126

zbMATH Keywords

harmonic functionprobability measurerapidly decreasing functionsradial Fourier transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items

Weighted Berezin transform in the polydisc, Integrable harmonic functions on symmetric spaces of rank one, THE MEAN-VALUE PROPERTY AND (α,β)-HARMONICITY

Cites Work

• Harmonic analysis of spherical functions on \(SU(1,1)\)
• An invariant volume-mean-value property
• Integrable harmonic functions on symmetric spaces of rank one
• Analyticity and the Pompeiu problem
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