I Theory and Implementations.- 1 Singular integrals related to the Monge-Ampère equation.- 2 Wavelet characterization of functions with conditions on the mean oscillation.- 3 Undecimated Wavelet Transform from Orthogonal Spline Wavelets.- 4 Oblique Multiwavelet Bases.- 5 Frames and Riesz bases: a short survey.- 6 Fourier Analysis of Petrov-Galerkin Methods Based on Biorthogonal Multiresolution Analyses.- II Applications to Biomedical Sciences.- 7 Fine Structure of ECG Signal using Wavelet Transform.- 8 Spectral Analysis of Cardiorespiratory Signals.- 9 Characterization of Epileptic EEG Time Series (I): Gabor Transform and Nonlinear Dynamics Methods.- 10 Characterization of Epileptic EEG Time Series (II): Wavelet Transform and Information Theory.- III Applications in Physical Sciences.- 11 Wavelet Networks for Modelling Nonlinear Processes.- 12 Higher order asymptotic boundary conditions for an oxide region in a semiconductor device.- 13 Estimation of the complex plain-wave modulus in viscoelastic media.- 14 Numerical Modelling of Maxwell's Equations with Applications to Magnetotellurics.