Wavelets in function spaces on cellular domainsReport as inadecuate

 Wavelets in function spaces on cellular domains

Wavelets in function spaces on cellular domains - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: Wavelets in function spaces on cellular domains
Nowadays the theory and application of wavelet decompositions plays an important role not only for the study of function spaces of Lebesgue, Hardy, Sobolev, Besov, Triebel-Lizorkin type but also for its applications in signal and numerical analysis, partial differential equations and image processing. In this context it it a hard problem to construct wavelet bases for suitable function spaces on domains, e. g. the unit cube. A big step in this direction are the contributions of Hans Triebel from 2006 to 2008 where he constructed Riesz bases for classes of Besov- and Triebel-Lizorkin spaces on domains, starting with Daubechies wavelets. But there was a problem coming from the method: He had to exclude a big number of function spaces, in particular a large class of classical Sobolev spaces. The main goal of this thesis is a construction of Riesz bases of wavelet systems also for the exceptional cases using a modification of the function spaces - the so-called reinforced function spaces.

Author: Benjamin Scharf

Source: https://archive.org/


Related documents