Noneuclidean Harmonic Analysis

DOI10.1137/1024040zbMath0488.43013OpenAlexW2044095946MaRDI QIDQ3949504

Audrey A. Terras

Publication date: 1982

Published in: SIAM Review (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/1024040

zbMATH Keywords

inversion formulaeigenfunctionshyperbolic spaceLaplace-Beltrami operatorspectral measuresurvey articlePoisson summation formulaharmonic analysis on noneuclidean upper half-planesolution of heat equationspectral resolution of noneuclidean Laplace operator

Mathematics Subject Classification ID

Heat equation (35K05) Harmonic analysis on homogeneous spaces (43A85) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Harmonic analysis and spherical functions (43A90) Convergence of Fourier series and of inverse transforms (43A50)

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