English

The Wavelet Galerkin Operator

Operator Algebras 2007-10-25 v1 Spectral Theory

Abstract

In connection to wavelet theory, we describe the peripheral spectrum of the transfer operator. The solution involves the analysis of certain representations of the algebra generated by two unitaries UU and TT that satisfy the commutation relation UTU1=TNUTU^{-1}=T^N.

Keywords

Cite

@article{arxiv.math/0302165,
  title  = {The Wavelet Galerkin Operator},
  author = {Dorin Ervin Dutkay},
  journal= {arXiv preprint arXiv:math/0302165},
  year   = {2007}
}