Mean Value Properties of the Laplacian via Spectral Theory

DOI10.2307/1999284zbMath0547.47009OpenAlexW4254150484MaRDI QIDQ3338794

Robert S. Strichartz

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999284

zbMATH Keywords

symmetric spacesRiemannian manifoldLaplace operatorLaplace-Beltrami operatorcompact Lie grouptheorem of Paley and Wienerabstract mean-value theoremconvolution operators with radial kernelsentire functions of temperate exponential typefunctions of the Laplace operatorintricaciesmean-value property of harmonic functions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Functional calculus for linear operators (47A60) Spectrum, resolvent (47A10) Analysis on real and complex Lie groups (22E30) Differential geometry of symmetric spaces (53C35)

Related Items

Local harmonic analysis on spheres ⋮ Characterization of eigenfunctions of the Laplace-Beltrami operator using Fourier multipliers ⋮ Harmonic analysis as spectral theory of Laplacians

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