Weight Functions in Time-Frequency Analysis

Details Weight Functions in Time-Frequency Analysis Weight Functions in Time-Frequency Analysis

2006-11-07

arxiv.org/abs/math/0611174v1

In "Pseudodifferential Operators: Partial Differential Equations and Time-Frequency Analysis'', L. Rodino et al., eds., Fields

Mathematics

Functional Analysis

Scientific paper

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.

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