6533b861fe1ef96bd12c5765
RESEARCH PRODUCT
Multilinear Fourier multipliers related to time–frequency localization
Carmen FernándezJosep MartínezAntonio Galbissubject
Unit sphereMultilinear mapApplied MathematicsMathematical analysisCompact operatorCompact operator on Hilbert spaceTime–frequency analysissymbols.namesakeFourier transformCompact spaceRelatively compact subspacesymbolsAnalysisMathematicsdescription
We consider multilinear multipliers associated in a natural way with localization operators. Boundedness and compactness results are obtained. In particular, we get a geometric condition on a subset A⊂R2d which guarantees that, for a fixed synthesis window ψ∈L2(Rd), the family of localization operators Lφ,ψA obtained when the analysis window φ varies on the unit ball of L2(Rd) is a relatively compact set of compact operators.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-02-01 | Journal of Mathematical Analysis and Applications |