An inverse problem for localization operators

DOI10.1088/0266-5611/28/11/115001zbMath1309.42005arXiv1202.5841OpenAlexW3098304861MaRDI QIDQ3143595

Monika Dörfler, Luís Daniel Abreu

Publication date: 3 December 2012

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.5841

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Lamé, Mathieu, and spheroidal wave functions (33E10) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (21)

Continuity and Schatten-von Neumann properties for localization operators on modulation spaces ⋮ Optimal Gabor frame bounds for separable lattices and estimates for Jacobi theta functions ⋮ The Faber-Krahn inequality for the short-time Fourier transform ⋮ Note on the Wigner distribution and localization operators in the quasi-Banach setting ⋮ The norm of time-frequency and wavelet localization operators ⋮ A Faber–Krahn inequality for Wavelet transforms ⋮ Sharp rates of convergence for accumulated spectrograms ⋮ Sampling time-frequency localized functions and constructing localized time-frequency frames ⋮ Decay and smoothness for eigenfunctions of localization operators ⋮ An extension of localization operators ⋮ Stability of the Faber-Krahn inequality for the short-time Fourier transform ⋮ Bilinear localization operators on modulation spaces ⋮ Superframes and polyanalytic wavelets ⋮ Mixed-state localization operators: Cohen's class and trace class operators ⋮ On accumulated spectrograms ⋮ Donoho-Logan large sieve principles for modulation and polyanalytic Fock spaces ⋮ Bargmann-type transforms and modified harmonic oscillators ⋮ Affine quantum harmonic analysis ⋮ On accumulated Cohen's class distributions and mixed-state localization operators ⋮ Measures of localization and quantitative Nyquist densities ⋮ Daubechies' time-frequency localization operator on Cantor type sets II.

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