This introductory text examines concepts, ideas, results, and techniques related to symmetry groups and Laplacians. Its exposition is based largely on examples and applications of general theory. Topics include commutative harmonic analysis, representations of compact and finite groups, Lie groups, and the Heisenberg group and semidirect products. 1992 edition. Reprint of the North-Holland, Amsterdam, 1992 edition.
Here's a sample of other books in this Dover category
Real-Variable Methods in Harmonic Analysis by Alberto Torchinsky This text starts with Fourier series, summability, norm convergence, and conjugate function. Additional topics include Hilbert transform, Paley theory, Cauchy integrals on Lipschitz curves, and boundary value problems. 1986 edition.
Harmonic Analysis and the Theory of Probability by Salomon Bochner Written by a distinguished mathematician and educator, this classic text emphasizes stochastic processes and the interchange of stimuli between probability and analysis. It also introduces the author's innovative concept of the characteristic functional. 1955 edition.
