Generalized Multiresolution Analyses

• Main Author: Merrill, Kathy D. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Birkhäuser, 2018.
• Edition: 1st ed. 2018.
• Series: Lecture Notes in Applied and Numerical Harmonic Analysis,
• Subjects: Harmonic analysis.; Functional analysis.; Measure theory.; Abstract Harmonic Analysis.; Functional Analysis.; Measure and Integration.

This monograph presents the first unified exposition of generalized multiresolution analyses. Expanding on the author's pioneering work in the field, these lecture notes provide the tools and framework for using GMRAs to extend results from classical wavelet analysis to a more general setting....

Table of Contents:

• Introduction
• The Invariance of the Core Subspace
• The Multiplicity Function
• Wavelet Sets
• Generalized Filters
• Fractal Spaces
• Composite Dilations and Crystallographic Groups
• Abstract Constructions of GMRAs.