Local sampling and approximation of operators with bandlimited Kohn-Nirenberg symbols
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Publication:485321
DOI10.1007/s00365-014-9228-4zbMath1308.41023arXiv1211.6048OpenAlexW2012616405MaRDI QIDQ485321
Felix Krahmer, Götz E. Pfander
Publication date: 9 January 2015
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1211.6048
pseudodifferential operatorsoperator identificationtime frequency localizationlocal approximationKohn-Nirenberg symboltight Gabor frames
Function spaces arising in harmonic analysis (42B35) Approximation by operators (in particular, by integral operators) (41A35) Sampling theory in information and communication theory (94A20)
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Cites Work
- Unnamed Item
- Sampling of operators
- Alternative dual frames for digital-to-analog conversion in sigma-delta quantization
- Unimodular Fourier multipliers for modulation spaces
- Uncertainty in time-frequency representations on finite Abelian groups and applications
- A Beurling-Helson type theorem for modulation spaces
- Modulation spaces and pseudodifferential operators
- Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order
- Continuity properties for modulation spaces, with applications to pseudo-differential calculus. I.
- Foundations of time-frequency analysis
- Atomic characterizations of modulation spaces through Gabor-type representations
- Continuity properties for modulation spaces, with applications to pseudo-differential calculus. II
- Pointwise comparison of PCM and \(\Sigma \Delta \) quantization
- Pseudodifferential operators and Banach algebras in mobile communications
- Measurement of time-varying multiple-input multiple-output channels
- Linear independence of Gabor systems in finite dimensional vector spaces
- Sampling and Reconstruction of Operators
- An optimal family of exponentially accurate one-bit Sigma-Delta quantization schemes
- Review of 'Theory of Random Functions and its Application to Problems of Automatic Control' (Pugachev, V. S.; 1957)
- Sigma-delta (/spl Sigma//spl Delta/) quantization and finite frames
- Measurement of Time-Variant Linear Channels
- Continuity and Schatten Properties for Pseudo-differential Operators on Modulation Spaces
- Harmonic Analysis in Phase Space. (AM-122)
- One-bit sigma-delta quantization with exponential accuracy
- Identification of Parametric Underspread Linear Systems and Super-Resolution Radar
- Frames and Stable Bases for Shift-Invariant Subspaces of L2(ℝd)
- Identification of Sparse Linear Operators
- Identification of Operators with Bandlimited Symbols
- Measurement of random time-variant linear channels