Wavelets, Multiscale Systems and Hypercomplex Analysis (Operator Theory, Advances and Applications Vol.167) (2006. 220 p.)

§16§This volume contains a selection of papers on the topics of Clifford analysis and wavelets and multiscale analysis, the latter being understood in a very wide sense. The theory of wavelets is mathematically rich and has many practical applications. Most of the articles have been written on invitation and they provide a unique collection of material, particularly relating to Clifford analysis and the theory of wavelets.§ §04§Editorial Introduction.§- Teodorescu Transform Decomposition of Multivector Fields on Fractal Hypersurfaces.§- Metric Dependent Clifford Analysis with Applications to Wavelet Analysis.§- A Hierarchical Semi-Separable Moore-Penrose Equation Solver.§- Methods from Multiscale Theory and Wavelets Applied to Nonlinear Dynamics.§- Noncommutative Trigonometry.§- Stationary Random Fields over Graphs.§- Matrix Representations and Numerical Computations of Wavelet Multipliers.§- Clifford algebra-valued Admissible Wavelets.