Time-frequency localization operators and a Berezin transform

DOI10.1007/s00020-014-2208-zzbMath1337.47029arXiv1407.4321OpenAlexW1997289693MaRDI QIDQ2341267

Dominik Bayer, Karlheinz Gröchening

Publication date: 23 April 2015

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.4321

zbMATH Keywords

short-time Fourier transformmodulation spaceBerezin quantizationtime-frequency localization

Mathematics Subject Classification ID

Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items

Localized frames and compactness ⋮ The norm of time-frequency and wavelet localization operators ⋮ Invertibility of positive Toeplitz operators and associated uncertainty principle ⋮ Quantum harmonic analysis on locally compact groups ⋮ Decay and smoothness for eigenfunctions of localization operators ⋮ An extension of localization operators ⋮ Convolutions for Berezin quantization and Berezin-Lieb inequalities ⋮ Zeros of the Wigner distribution and the short-time Fourier transform ⋮ Mixed-state localization operators: Cohen's class and trace class operators ⋮ Convolutions for localization operators ⋮ Subexponential decay and regularity estimates for eigenfunctions of localization operators ⋮ Quantum harmonic analysis on lattices and Gabor multipliers ⋮ Totally positive functions in sampling theory and time-frequency analysis

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