
doi: 10.1137/1024040
Analysis on Lie groups and their homogeneous spaces has seen a recent flowering, thanks to the work of Harish-Chandra, Helgason, Selberg and many others. The purpose of this paper is to give an ele...
harmonic analysis on noneuclidean upper half-plane, Asymptotic distributions of eigenvalues in context of PDEs, Heat equation, spectral measure, eigenfunctions, Poisson summation formula, Harmonic analysis on homogeneous spaces, hyperbolic space, Convergence of Fourier series and of inverse transforms, solution of heat equation, Laplace-Beltrami operator, inversion formula, survey article, spectral resolution of noneuclidean Laplace operator, Harmonic analysis and spherical functions
harmonic analysis on noneuclidean upper half-plane, Asymptotic distributions of eigenvalues in context of PDEs, Heat equation, spectral measure, eigenfunctions, Poisson summation formula, Harmonic analysis on homogeneous spaces, hyperbolic space, Convergence of Fourier series and of inverse transforms, solution of heat equation, Laplace-Beltrami operator, inversion formula, survey article, spectral resolution of noneuclidean Laplace operator, Harmonic analysis and spherical functions
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