arXiv:math/0611174 Abstract

arXiv:math/0611174 [math.FA]Abstract References Reviews Resources

Weight Functions in Time-Frequency Analysis

Published 2006-11-07Version 1

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.

Journal: In "Pseudodifferential Operators: Partial Differential Equations and Time-Frequency Analysis'', L. Rodino et al., eds., Fields Institute Comm. 52, pp.343 -- 366, 2007

Categories: math.FA

Subjects: 42Axx

Keywords: weight functions, time-frequency analysis, weights characterize algebra properties, gelfand-raikov-shilov weights determine spectral invariance, moderate weights characterize module properties

Tags: journal article

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