Low-pass filters and representations of the Baumslag Solitar group
Classical Analysis and ODEs
2007-10-25 v3 Operator Algebras
Abstract
We analyze representations of solvable Baumslag Solitar group that admit wavelets and show how such representations can be constructed from a given low-pass filter. We describe the direct integral decomposition for some examples and derive from it a general criterion for the existence of solutions for scaling equations. As another application, we construct a Fourier transform for some Hausdorff measures.
Keywords
Cite
@article{arxiv.math/0407344,
title = {Low-pass filters and representations of the Baumslag Solitar group},
author = {Dorin Ervin Dutkay},
journal= {arXiv preprint arXiv:math/0407344},
year = {2007}
}