A Reconstruction Method for Band-Limited Signals on the Hyperbolic Plane

zbMath1137.94314arXiv1105.2858MaRDI QIDQ5451846

Hans G. Feichtinger, Isaac Z. Pesenson

Publication date: 27 March 2008

Full work available at URL: https://arxiv.org/abs/1105.2858

zbMATH Keywords

convolutionsHelgason-Fourier transformPoincaré upper half-planeband-limited functions, Laplace-Beltrami operator

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Harmonic analysis on homogeneous spaces (43A85) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Spectrum, resolvent (47A10)

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