The Homogeneous Approximation Property and the Comparison Theorem for Coherent Frames
Functional Analysis
2010-12-21 v1 Representation Theory
Abstract
We show that the homogeneous approximation property and the comparison theorem hold for arbitrary coherent frames. This observation answers some questions about the density of frames that are not covered by the theory of Balan, Casazza, Heil, and Landau. The proofs are a variation of the method developed by Ramanathan and Steger.
Cite
@article{arxiv.0709.3752,
title = {The Homogeneous Approximation Property and the Comparison Theorem for Coherent Frames},
author = {Karlheinz Gröchenig},
journal= {arXiv preprint arXiv:0709.3752},
year = {2010}
}