Positive definite maps, representations and frames
Functional Analysis
2007-05-23 v1
Abstract
We present a unitary approach to the construction of representations and intertwining operators. We apply it to the -algebras, groups, Gabor type unitary systems and wavelets. We give an application of our method to the theory of frames, and we prove a general dilation theorem which is in turn applied to specific cases, and we obtain in this way a dilation theorem for wavelets.
Cite
@article{arxiv.math/0511137,
title = {Positive definite maps, representations and frames},
author = {Dorin Ervin Dutkay},
journal= {arXiv preprint arXiv:math/0511137},
year = {2007}
}