Synopsis
This book deals with harmonic analysis on the complete simply connected two-dimensional manifolds of constant curvature (the Euclidean plane, the two-sphere and the non-Euclidean plane). The treatment is elementary and Lie group theory is not required. However, the text is written from a general conceptual viewpoint so that most of the proofs generalize to Riemannian symmetric spaces.
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Review
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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Topics in Harmonic Analysis on Homogeneous Spaces(Progress in Mathematics,Vol.13)
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