FRAME REPRESENTATIONS FOR GROUP-LIKE UNITARY OPERATOR SYSTEMS

Keywords

Mathematics, Unitary state, Unitary group, Unit vector, Group (periodic table)

References

• Fundamentals of the Theory of Operator AlgebrasRichard V. Kadison, J. R. Ringrose — 1983
• A study of weyl-heisenberg and wavelet framesIngrid Daubechies, Radu Bălan — 1998
• Wandering vectors for irrational rotation unitary systemsDeguang Han — 1998
• Frames, bases, and group representationsDeguang Han, David R. Larson — 2000
• Von Neumann algebras associated with pairs of lattices in Lie groupsMarc A. Rieffel — 1981
• Gabor Time-Frequency Lattices and the Wexler-Raz IdentityIngrid Daubechies, H. J. Landau, Zeph Landau — 1994
• Wandering Vectors for Unitary Systems and Orthogonal WaveletsXingde Dai, David R. Larson — 1998
• Incompleteness of Sparse Coherent StatesJayakumar Ramanathan, Tim Steger — 1995
• Ten Lectures on Wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, Vol. 61, I. Daubechies, SIAM, 1992, xix + 357 pp.Alexandra Cohen — 1994
• Ten Lectures on WaveletsIngrid Daubechies, Christopher Heil — 1992
• Weyl-Heisenberg frames and Riesz bases in L_2(R^d)Amos Ron, Zuowei Shen — 1997
• Differentiation and the Balian-Low TheoremJohn J. Benedetto, Christopher Heil, David F. Walnut — 1994
• Lattice tiling and the Weyl—Heisenberg framesDeguang Han, Yang Wang — 2001
• Continuous and Discrete Wavelet TransformsChristopher E. Heil, David F. Walnut — 1989
• Fundamentals of the Theory of Operator Algebras. Volume IVRichard V. Kadison, J. R. Ringrose — 1998
• Modern tools for weyl-heisenberg (gabor) frame theoryP. Casazza — 2001
• Frames and wavelets from an operator - theoretic point of viewD. Larson — 1998
• Von Neumann Algebras and WaveletsD. Larson — 1997

Cited by

• Frames for UndergraduatesDeguang Han, Keri Kornelson, David Larson — 2007
• Approximations for Gabor and wavelet framesDeguang Han — 2003
• Discrete Gabor frames in ℓ²(ℤ^)Jerry Lopez, Deguang Han — 2013
• Operator-Valued Measures, Dilations, and the Theory of FramesDeguang Han, David R. Larson, Bei Liu — 2011
• Group Frames With Few Distinct Inner Products and Low CoherenceMatthew Thill, Babak Hassibi — 2015
• Balian–Low phenomenon for subspace Gabor framesJean‐Pierre Gabardo, Deguang Han — 2004
• Frame representations and Parseval duals with applications to Gabor framesDeguang Han — 2008
• The abstruse meets the applicable: Some aspects of time-frequency analysisGerald B. Folland — 2006
• Linearly connected sequences and spectrally optimal dual frames for erasuresSaliha Pehlivan, Deguang Han, R. N. Mohapatra — 2013
• Frame duality properties for projective unitary representationsDeguang Han, David R. Larson — 2008
• The uniqueness of the dual of Weyl-Heisenberg subspace framesJean‐Pierre Gabardo, Deguang Han — 2004
• On the Orthogonality of Frames and the Density and Connectivity of Wavelet FramesDeguang Han, David R. Larson — 2009
• Dilations and Completions for Gabor SystemsDeguang Han — 2009
• Wandering Operators for Unitary Systems of Hilbert SpacesXunxiang Guo — 2016
• Dilations for systems of imprimitivity acting on Banach spacesDeguang Han, David R. Larson, Bei Liu — 2014
• Constructing super Gabor frames: the rational time-frequency lattice caseZhongyan Li, Deguang Han — 2010
• Lattice tiling and density conditions for subspace Gabor framesJean‐Pierre Gabardo, Deguang Han, Yun‐Zhang Li — 2013
• Orthonormal dilations of non-tight framesMarcin Bownik, John Jasper, Darrin Speegle — 2010
• Classification of Finite Group-Frames and Super-FramesDeguang Han — 2007
• Duality properties in von Neumann algebras of projective unitary representationsYizheng Li, Chengjun Hou — 2013

Related papers

• Frames, bases, and group representationsDeguang Han, David R. Larson — 2000
• Frame representations and Parseval duals with applications to Gabor framesDeguang Han — 2008
• Lattice tiling and the Weyl—Heisenberg framesDeguang Han, Yang Wang — 2001
• A class of nonharmonic Fourier seriesR. J. Duffin, A. C. Schaeffer — 1952
• Subspace Weyl-Heisenberg framesJean‐Pierre Gabardo, Deguang Han — 2001
• The uniqueness of the dual of Weyl-Heisenberg subspace framesJean‐Pierre Gabardo, Deguang Han — 2004
• Von Neumann algebras associated with pairs of lattices in Lie groupsMarc A. Rieffel — 1981
• Theory of communicationДеннис Габор — 1946
• Wandering Vectors for Unitary Systems and Orthogonal WaveletsXingde Dai, David R. Larson — 1998
• Approximations for Gabor and wavelet framesDeguang Han — 2003