I Wavelets and Wavelet Transforms. - 1 Wavelet Frames: Multiresolution Analysis and Extension Principles. - 2 Convergence Rates of Multiscale and Wavelet Expansions. - 3 Denoising via Nonorthogonal Wavelet Transforms. - 4 Osiris Wavelets and the Dipole Gas. - 5 Wavelets in Closed Forms. - 6 Wavelet Galerkin Methods for Boundary Integral Equations and the Coupling with Finite Element Methods. - 7 Computing and Analyzing Turbulent Flows Using Wavelets. - 8 The Uncertainty Principle for the Short-Time Fourier Transform and Wavelet Transform. - II Time-Frequency Signal Analysis. - 9 Quadratic Time-Frequency Analysis of Linear Time-Varying Systems. - 10 Inequalities in MellinFourier Signal Analysis. - 11 Introduction to Time-Frequency Signal Analysis. - 12 Reduced Interference Time-Frequency Distributions: Scaled Decompositions and Interpretations. Language: English