Weight Functions in Time-Frequency Analysis
Functional Analysis
2011-04-27 v1
Abstract
We discuss the most common types of weight functions in harmonic analysis and how they occur in \tfa . As a general rule, submultiplicative weights characterize algebra properties, moderate weights characterize module properties, Gelfand-Raikov-Shilov weights determine spectral invariance, and Beurling-Domar weights guarantee the existence of compactly supported test functions.
Cite
@article{arxiv.math/0611174,
title = {Weight Functions in Time-Frequency Analysis},
author = {Karlheinz Gröchenig},
journal= {arXiv preprint arXiv:math/0611174},
year = {2011}
}