Multilinear Fourier multipliers related to time-frequency localization

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:398

Article

Fernandez, Carmen¹  Galbis, Antonio¹  Martinez, Josep¹ 

[1] Univ Valencia, E-46100 Valencia, Spain

关键词: Multilinear Fourier multiplier;    Bilinear pseudodifferential operator;    Time-frequency;    Localization operator;    Bilinear compact operator;   

DOI  :  10.1016/j.jmaa.2012.08.043

来源: Elsevier

【 摘 要 】

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 subset of R-2d which guarantees that, for a fixed synthesis window psi is an element of L-2(R-d), the family of localization operators L-phi,L- (A)(psi) obtained when the analysis window phi varies on the unit ball of L-2(R-d) is a relatively compact set of compact operators. (C) 2012 Elsevier Inc: All rights reserved.

【 授权许可】

Free