"This applications-oriented professional handbook comprehensively covers the theory and ubiquity of Fourier analysis in science, mathematics, and engineering. In the Handbook of Fourier Analysis and Its Applications, Marks recounts the foundations of Fourier analysis using a parallel development of discrete and continuous time. Fourier analysis is then applied to an astounding array of areas in science and engineering, including boundary value problems, diffraction phenomena, quantum mechanics, finance, stochastic resonance, lost sample restoration, image compression, tomography, subpixel resolution, multidimensional filter design, motion blur correction, solution of wave equations, western music structure, conformal radiotherapy, quantization error correction, modulation, and beamforming." "This handbook will appeal to professionals in the engineering, computer science, statistics, and applied mathematics fields. It replaces several less-comprehensive volumes on the subject that are often used as textbooks. In addition to being primarily used as a professional handbook, it includes sample problems and their solutions at the end of each section and thus serves as a textbook for advanced undergraduate students and beginning graduate students in courses dealing with multidimensional systems, signal analysis and synthesis, Shannon sampling and interpolation theory, time-frequency representations, linear transform theory, random variables, stochastic processes, and signals and linear systems." --Book Jacket.