Decay and smoothness for eigenfunctions of localization operators

DOI10.1016/j.jmaa.2020.124480zbMath1447.42008arXiv1902.03413OpenAlexW3047642301MaRDI QIDQ2199311

Elena Cordero, Federico Bastianoni, Fabio Nicola

Publication date: 16 September 2020

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.03413

zbMATH Keywords

modulation spacesquasi-Banach spacesshort-time Fourier transformtime-frequency analysisWiener amalgam spaceslocalization operators

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (7)

An Excursion to Multiplications and Convolutions on Modulation Spaces ⋮ Quasi-Banach modulation spaces and localization operators on locally compact abelian groups ⋮ Note on the Wigner distribution and localization operators in the quasi-Banach setting ⋮ Characterization of modulation spaces by symplectic representations and applications to Schrödinger equations ⋮ Subexponential decay and regularity estimates for eigenfunctions of localization operators ⋮ Step multipliers, Fourier step multipliers and multiplications on quasi-Banach modulation spaces ⋮ Daubechies' time-frequency localization operator on Cantor type sets II.

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