6533b859fe1ef96bd12b77dd
RESEARCH PRODUCT
Compactness of time-frequency localization operators on L2(Rd)
Carmen FernándezAntonio Galbissubject
Discrete mathematicsModulation spaceCompact operatorApproximation propertyShort-time Fourier transformModulation spaceLocalization operatorOperator theoryCompact operatorCompact operator on Hilbert spaceSubclassCompact spaceTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESShort-time Fourier transformAnalysisComputer Science::Formal Languages and Automata TheoryMathematicsdescription
Abstract In this paper, we consider localization operators on L 2 ( R d ) defined by symbols in a subclass of the modulation space M ∞ ( R 2 d ) . We show that these operators are compact and that this subclass is “optimal” for compactness.
year | journal | country | edition | language |
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2006-04-01 | Journal of Functional Analysis |