Description
From the reviews: “[…] the interested reader will find in Bremaud’s book an invaluable reference because of its coverage, scope and style, as well as of the unified treatment it offers of (signal processing oriented) Fourier and wavelet basics.” Mathematical Reviews A. FOURIER ANALYSIS IN L1 Fourier Transforms of Stable Signals / Fourier Series of Locally Stable Periodic Signals / Pointwise Convergence of Fourier Series B. SIGNAL PROCESSING Filtering / Sampling / Digital Signal Processing / Subband Coding C. FOURIER ANALYSIS IN L2 Hilbert Spaces / Complete Orthonormal Systems / Fourier Transforms of Finite Energy Signals / Fourier Series of Finite Power Periodic Signals D. WAVELET ANALYSIS The Windowed Fourier Transform / The Wavelet Transform / Wavelet Orthonormal Expansions / Construction of a MRA / Smooth Multiresolution Analysis
