Two Versions of Wavelets and Applications
Abdellatif Jouini, Khalifa Trimèche · Medical Entomology and Zoology · 2006
Preface / Introduction / Discrete Wavelets and Applications: Introduction to Wavelet Theory / Multiresolution Analyses on the Interval [0, 1] and Commutation Properties / Segmented Biorthogonal Multiresolution Analyses on the Interval [0, 1] and Applications / Wavelets on Manifolds and Applications to Sobolev Spaces / Orthogonal and Biorthogonal Multiresolution Analyses on the L-shaped Domain / Generalized Wavelets and Applications: Harmonic Analysis Associated with a Singular Differential Operator on ]0,+∞[ / Generalized Wavelet Packets Associated with a Singular Differential Operator on ]0, +∞[ Generalized Daubechies Wavelet Packets and Inversion of the Dual of J.L. Lions Transmutation Operator / Generalized two-scale Equation and Application / Harmonic Analysis Associated with the Dunkl Operator on R / Dunkl Wavelets and Applications / Bibliography / Index.