Concentrating on complete simply connected two-dimensional manifolds with constant curvature, Topics in Harmonic Analysis on Homogeneous Spaces is a brief and elementary presentation of the subject. Treating the results of recent work in this highly active field, the author offers numerous proofs illustrating harmonic analysis on symmetric spaces. This volume fills a need for analysis without expertise in Lie groups who want to examine harmonic analysis on homogeneous spaces.
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The book would make an excellent one-quarter course for graduate students interested in harmonic analysis. -- P. Trombi, Mathematical Reviews, 1983, p. 2815.
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