Weight Functions in Time-Frequency Analysis

Preprint

7 November 2006

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/0611174

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.

Keywords

FUNCTIONS IN HARMONIC
WEIGHTS CHARACTERIZE
CHARACTERIZE ALGEBRA
ALGEBRA PROPERTIES
FREQUENCY ANALYSIS
WEIGHT FUNCTIONS
BEURLING DOMAR
TEST FUNCTIONS
PROPERTIES

All Related Versions

Version 1, 2006-11-07, ArXiv

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