Wavelets, Multiscale Systems and Hypercomplex Analysis

• Corporate Author: SpringerLink (Online service)
• Other Authors: Alpay, Daniel (Editor), Luger, Annemarie (Editor), Woracek, Harald (Editor)
• Format: Electronic eBook
• Language: English
• Published: Basel : Birkhäuser Basel, 2006.
• Series: Operator Theory: Advances and Applications ; 167
• Subjects: Mathematics.; Algebra.; Mathematical analysis.; Analysis (Mathematics).; Harmonic analysis.; Functions of complex variables.; Operator theory.; System theory.; Analysis.; Operator Theory.; Systems Theory, Control.; Functions of a Complex Variable.; Abstract Harmonic Analysis.

From a mathematical point of view it is fascinating to realize that most, if not all, of the notions arising from the theory of analytic functions in the open unit disk have counterparts when one replaces the integers by the nodes of a homogeneous tree. It is also fascinating to realize that a whole...

Table of Contents:

• 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 and Related Structures
• Matrix Representations and Numerical Computations of Wavelet Multipliers
• Clifford Algebra-valued Admissible Wavelets Associated to More than 2-dimensional Euclidean Group with Dilations.