Weight Functions in Time-Frequency Analysis
By Karlheinz Gröchenig. 2006
94 citations recorded by the source corpus.
. We discuss the most common types of weight functions in harmonic analysis and how they occur in time-frequency analysis. 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.
View Paper: https://www.semanticscholar.org/paper/4772999646c496d2f7cc6c0de06f1e8a902b6c09
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Citations in the corpus
- On the range of validity of the autoregressive sieve bootstrap (2012, methodology): “For such a result, we make use of a weighted version of Wiener’s lemma; cf. Gröchenig (2007).”
- Projective modules over noncommutative tori are multi-window Gabor frames for modulation spaces (2008, methodology): “We refer the interested reader to the survey article [29] of Gröchenig for a thorough treatment of weights in time-frequency analysis.”