Mixed-state localization operators: Cohen's class and trace class operators
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Publication:2003626
DOI10.1007/s00041-019-09663-3OpenAlexW2897201568WikidataQ128373923 ScholiaQ128373923MaRDI QIDQ2003626
Franz Luef, Eirik Skrettingland
Publication date: 9 July 2019
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.02435
uncertainty principlephase retrievallocalization operatorspositive operator valued measuresCohen class
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)
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Equivalent norms for modulation spaces from positive Cohen's class distributions, Quasi-Banach modulation spaces and localization operators on locally compact abelian groups, Quantum harmonic analysis on locally compact groups, Phase Retrieval: Uniqueness and Stability, Decay and smoothness for eigenfunctions of localization operators, Time-frequency analysis and coorbit spaces of operators, A note on the operator window of modulation spaces, A Wiener Tauberian theorem for operators and functions, On Gabor g-frames and Fourier series of operators, Affine quantum harmonic analysis, On accumulated Cohen's class distributions and mixed-state localization operators, Quantum harmonic analysis on lattices and Gabor multipliers, Wigner analysis of operators. I: Pseudodifferential operators and wave fronts
Cites Work
- Unnamed Item
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- Coherent states, wavelets, and their generalizations
- Preferred quantization rules: Born-Jordan versus Weyl. The pseudo-differential point of view
- Uniform continuity of POVMs
- Born-Jordan quantization. Theory and applications
- Covariant measurements and uncertainty relations
- On a new Segal algebra
- Parity operator and quantization of \(\delta\)-functions
- Time-frequency localization and the spectrogram
- Time-frequency analysis of localization operators.
- Foundations of time-frequency analysis
- Cohen class of time-frequency representations and operators: boundedness and uncertainty principles
- Convolutions for localization operators
- Generalized Anti-Wick operators with symbols in distributional Sobolev spaces
- Zeros of the Wigner distribution and the short-time Fourier transform
- Time-frequency localization operators and a Berezin transform
- The spectrogram expansion of Wigner functions
- Normal covariant quantization maps
- Dilations for systems of imprimitivity acting on Banach spaces
- The \(C^ *\)-algebras of a free Boson field
- \(C^ *\)-algèbres des systèmes canoniques. I
- On accumulated spectrograms
- Schwartz operators
- Characterization of informational completeness for covariant phase space observables
- Operator-Valued Measures, Dilations, and the Theory of Frames
- Time-Frequency Localization via the Weyl Correspondence
- An inverse problem for localization operators
- Quantum harmonic analysis on phase space
- Integral bounds for radar ambiguity functions and Wigner distributions
- Symplectic Methods in Harmonic Analysis and in Mathematical Physics
- Time-frequency localization operators: a geometric phase space approach
- Harmonic Analysis in Phase Space. (AM-122)
- Sharp Integral Bounds for Wigner Distributions
- On the Symplectic Covariance and Interferences of Time-Frequency Distributions
- Time-frequency representations of Wigner type and pseudo-differential operators
- Quantum Harmonic Analysis of the Density Matrix
- Positive-Operator-Valued Measures: A General Setting for Frames
- Localization of multidimensional Wigner distributions
- Necessary conditions for Schatten class localization operators
- Born-Jordan pseudodifferential operators with symbols in the Shubin classes
- Stable Gabor Phase Retrieval and Spectral Clustering
- Mathematical Aspects of the Weyl Correspondence
- A Szegö-type theorem for Gabor-Toeplitz localization operators
