Convolutions for localization operators

DOI10.1016/j.matpur.2017.12.004zbMath1486.47086arXiv1705.03253OpenAlexW2963833610MaRDI QIDQ1782010

Franz Luef, Eirik Skrettingland

Publication date: 18 September 2018

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.03253

zbMATH Keywords

Banach modulesmodulation spacesTauberian theoremsBerezin transformlocalization operatorsArveson spectrum

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Pseudodifferential operators (47G30)

Related Items (20)

Equivalent norms for modulation spaces from positive Cohen's class distributions ⋮ The norm of time-frequency and wavelet localization operators ⋮ Symplectic analysis of time-frequency spaces ⋮ Quantum harmonic analysis on locally compact groups ⋮ Metaplectic Gabor frames and symplectic analysis of time-frequency spaces ⋮ Time-frequency analysis and coorbit spaces of operators ⋮ A note on the operator window of modulation spaces ⋮ An extension of localization operators ⋮ Convolutions for Berezin quantization and Berezin-Lieb inequalities ⋮ A Wiener Tauberian theorem for operators and functions ⋮ Mixed-state localization operators: Cohen's class and trace class operators ⋮ On Gabor g-frames and Fourier series of operators ⋮ Average sampling in certain subspaces of Hilbert-Schmidt operators on \(L^2(\mathbb{R}^d)\) ⋮ Sampling in \(\Lambda\)-shift-invariant subspaces of Hilbert-Schmidt operators on \(L^2(\mathbb{R}^d)\) ⋮ Affine quantum harmonic analysis ⋮ Extension of localisation operators to ultradistributional symbols with super-exponential growth ⋮ On accumulated Cohen's class distributions and mixed-state localization operators ⋮ Quantum harmonic analysis on lattices and Gabor multipliers ⋮ Correspondence theory on \(p\)-Fock spaces with applications to Toeplitz algebras ⋮ Self-adjointness of Toeplitz operators on the Segal-Bargmann space

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