Wavelets: A Mathematical Tool for Signal Analysis
by Charles K. Chui · SIAM
Concise text on wavelet analysis for engineers and applied mathematicians. Covers time-frequency localization, the continuous and discrete wavelet transforms, multiresolution analysis, and spline and compactly supported wavelets, explaining how these tools are used to analyze and decompose signals.
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Graduate-level text on the mathematical theory of wavelets, built on Fourier analysis and functional analysis. Covers multiresolution analysis, orthonormal wavelet bases, compactly supported wavelets, smoothness and band-limited wavelets, preparing readers for research literature in harmonic analysis.