Harmonic Analysis and Applications

Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. Harmonic Analysis and Applications presents the analysis and synthesis of functions in terms of harmonics in a way that clearly demonstrates the vitality, power, elegance, usefulness of the subject. It covers the Fourier analysis of integrable and square integrable functions on R, distribution theory, and Fourier series, including the Fourier analysis of finite and infinite sequences, as well as functions defined on finite intervals. Ideal as a text for upper-level undergraduates, this book includes enough advanced material to also serve as a graduate-level text and as reference.