Decay and smoothness for eigenfunctions of localization operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:492

Article

Bastianoni, Federico¹  Cordero, Elena²  Nicola, Fabio¹ 

[1] Politecn Torino, Dipartimento Sci Matemat, Corso Duca Abruzzi 24, I-10129 Turin, Italy

[2] Univ Torino, Dipartimento Matemat, Via Carlo Alberto 10, I-10123 Turin, Italy

关键词: Time-frequency analysis;    Localization operators;    Short-time Fourier transform;    Quasi-Banach spaces;    Modulation spaces;    Wiener amalgam spaces;   

DOI  :  10.1016/j.jmaa.2020.124480

来源: Elsevier

【 摘 要 】

We study decay and smoothness properties for eigenfunctions of compact localization operators A(a)(phi 1,phi 2). Operators A(a)(phi 1,phi 2) with symbols a in the wide modulation space M-p,M-infinity (containing the Lebesgue space L-p), p0 (subspaces of M-p,M-infinity(R(2)d), p>2d/s) the L-2-eigenfunctions of A(a)(phi 1,phi 2) are actually Schwartz functions. An important role is played by quasi-Banach Wiener amalgam and modulation spaces. As a tool, new convolution relations for modulation spaces and multiplication relations for Wiener amalgam spaces in the quasi-Banach setting are exhibited. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

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