Wavelet Theory and Harmonic Analysis in Applied Sciences

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. Language: English