Projections in noncommutative tori and Gabor frames
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Publication:3082324
DOI10.1090/S0002-9939-2010-10489-6zbMath1213.42121arXiv1003.3719OpenAlexW2964262581MaRDI QIDQ3082324
Publication date: 10 March 2011
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.3719
(C^*)-modules (46L08) General harmonic expansions, frames (42C15) Group algebras of locally compact groups (22D15) (L^1)-algebras on groups, semigroups, etc. (43A20)
Related Items
On a gauge action on sigma model solitons, The Balian-Low theorem and noncommutative tori, Smooth lattice orbits of nilpotent groups and strict comparison of projections, Left translates of a square integrable function on the Heisenberg group, Elements of Postmodern Harmonic Analysis, The Balian-Low theorem for locally compact abelian groups and vector bundles, Fourier transform and sigma model solitons on noncommutative tori, Choosing Function Spaces in Harmonic Analysis, Sigma-model solitons on noncommutative spaces, Gabor frames for quasicrystals, \(K\)-theory, and twisted gap labeling, Frames, biorthogonal dual and other properties associated with wavelet system on ℝ, Gabor duality theory for Morita equivalent C∗-algebras, Time-frequency analysis on the adeles over the rationals, Functor of points and height functions for noncommutative Arakelov geometry, Solitons of general topological charge over noncommutative tori, Dilation of the Weyl symbol and Balian-Low theorem, Duality of Gabor frames and Heisenberg modules, Spectral invariance of \(\ast\)-representations of twisted convolution algebras with applications in Gabor analysis, Heisenberg modules as function spaces, Sampling and periodization of generators of Heisenberg modules, Weak frames in Hilbert \(C^*\)-modules with application in Gabor analysis
Cites Work
- Quantum theta functions and Gabor frames for modulation spaces
- Projective modules over noncommutative tori are multi-window Gabor frames for modulation spaces
- Wiener amalgam spaces for the fundamental identity of Gabor analysis
- On a new Segal algebra
- An analogue of the Thom isomorphism for crossed products of a C* algebra by an action of R
- C*-algebras associated with irrational rotations
- Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\)
- Duality and biorthogonality for Weyl-Heisenberg frames
- Gabor time-frequency lattices and the Wexler-Raz identity
- On generating tight Gabor frames at critical density
- Foundations of time-frequency analysis
- Hyperbolic secants yield Gabor frames
- Characterization and computation of canonical tight windows for Gabor frames
- Functional equations for quantum theta functions
- Projections in rotation algebras and theta functions
- Projective Modules over Higher-Dimensional Non-Commutative Tori
- Density theorems for sampling and interpolation in the Bargmann-Fock space I.
- Wiener’s lemma for twisted convolution and Gabor frames
- Embeddings of some classical Banach spaces into modulation spaces
- Cut-Down Method in the Inductive Limit Decomposition of Non-Commutative Tori
- Theta functions, quantum tori and Heisenberg groups.
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