Overview: New edition extensively revised and updated.Features many new examples and figures (such as density plots of modular forms as well as finite analogues).New topics include: wavelets, quasicrystals, Ram.This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plane. This book is intended for beginning graduate students in mathematics or researchers in physics or engineering. Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above
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