A First Course in Harmonic Analysis

This primer in harmonic analysis gives a lean and stream-lined introduction to the central concepts of this beautiful theory. In contrast to other books on the topic, A First Course in Harmonic Analysis is entirely based on the Riemann integral and metric spaces instead of the more demanding Lebesgue integral and abstract topology. Nevertheless, almost all proofs are given in full and all central concepts are presented clearly. This book introduces Fourier analysis, leading up to the Poisson Summation Formula, as well as the techniques used in harmonic analysis of noncommutative groups.