Quantum harmonic analysis on lattices and Gabor multipliers
From MaRDI portal
Publication:785661
DOI10.1007/s00041-020-09759-1OpenAlexW3035649305MaRDI QIDQ785661
Publication date: 7 August 2020
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.00466
Pseudodifferential operators as generalizations of partial differential operators (35S05) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)
Related Items
Equivalent norms for modulation spaces from positive Cohen's class distributions ⋮ Time-frequency analysis and coorbit spaces 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 \(L^2(\mathbb{R}^d)\) ⋮ Sampling in the range of the analysis operator of a continuous frame having unitary structure
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Modular curvature and Morita equivalence
- Isomorphism properties of Toeplitz operators and pseudo-differential operators between modulation spaces
- Uniqueness and reconstruction theorems for pseudodifferential operators with a bandlimited Kohn-Nirenberg symbol
- Frame expansions for Gabor multipliers
- Wiener amalgam spaces for the fundamental identity of Gabor analysis
- Representation of operators in the time-frequency domain and generalized Gabor multipliers
- On a new Segal algebra
- The theory of multiresolution analysis frames and applications to filter banks
- Proof of a conjecture on the supports of Wigner distributions
- Modulation spaces and pseudodifferential operators
- Poisson summation, the ambiguity function, and the theory of Weyl-Heisenberg frames
- Duality and biorthogonality for Weyl-Heisenberg frames
- Time-frequency analysis of localization operators.
- Foundations of time-frequency analysis
- On a (no longer) new Segal algebra: a review of the Feichtinger algebra
- Convolutions for localization operators
- Square integrable representations, von Neumann algebras and an application to Gabor analysis
- Mixed-state localization operators: Cohen's class and trace class operators
- Time-frequency localization operators and a Berezin transform
- Pseudodifferential operators and Banach algebras in mobile communications
- History and evolution of the density theorem for Gabor frames
- Are number and phase complementary observables?
- Schwartz operators
- The range of localization operators and lifting theorems for modulation and Bargmann-Fock spaces
- Characterization of informational completeness for covariant phase space observables
- Representation and approximation of pseudodifferential operators by sums of Gabor multipliers
- Quantum harmonic analysis on phase space
- Wiener’s Lemma: Theme and Variations. An Introduction to Spectral Invariance and Its Applications
- Symplectic Methods in Harmonic Analysis and in Mathematical Physics
- Projective Modules over Higher-Dimensional Non-Commutative Tori
- The wavelet transform, time-frequency localization and signal analysis
- Harmonic Analysis in Phase Space. (AM-122)
- Convolutions for Berezin quantization and Berezin-Lieb inequalities
- Identification of Operators with Bandlimited Symbols
- Mathematical Aspects of the Weyl Correspondence
- An uncertainty principle related to the Poisson summation formula
- An introduction to frames and Riesz bases
- Principles of harmonic analysis
