6533b859fe1ef96bd12b77dd

RESEARCH PRODUCT

Compactness of time-frequency localization operators on L2(Rd)

Carmen FernándezAntonio Galbis

subject

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 TheoryMathematics

description

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.

10.1016/j.jfa.2005.08.008http://dx.doi.org/10.1016/j.jfa.2005.08.008