Reproducing subgroups of $Sp(2,\mathbb{R})$. Part I: algebraic classification
Group Theory
2015-11-03 v2 Functional Analysis
Abstract
We classify the connected Lie subgroups of the symplectic group whose elements are matrices in block lower triangular form. The classification is up to conjugation within . Their study is motivated by the need of a unified approach to continuous 2D signal analyses, as those provided by wavelets and shearlets.
Cite
@article{arxiv.1109.6789,
title = {Reproducing subgroups of $Sp(2,\mathbb{R})$. Part I: algebraic classification},
author = {Giovanni S. Alberti and Luca Balletti and Filippo De Mari and Ernesto De Vito},
journal= {arXiv preprint arXiv:1109.6789},
year = {2015}
}
Comments
26 pages