Methods of applied fourier analysis

the long version

Methods of Applied Fourier Analysis is a comprehensive development of the ideas of harmonic analysis with a special emphasis on application-oriented themes. In keeping with the interdisciplinary nature of the subject, conceptual aspects are complemented by in-depth explorations of related material of an applied nature. Thus, basic material on Fourier series, Hardy spaces, and Fourier transform are interweaved with material that discusses discrete Fourier transform and fast algorithms, spectral theory of stationary processes, control theory, and wavelets. This book is an excellent text/reference for graduates and professionals in mathematics, engineering, and the physical sciences. It is also suitable as a general self-study resource for professionals and practitioners in harmonic analysis, fast Fourier transforms and algorithms, signal processing, electrical engineering, and scientific computing.