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Frames, bases, and group representations
- Deguang Han, D. Larson
- Mathematics
- 2000
Introduction Basic theory for frames Complementary frames and disjointness Frame vectors for unitary systems Gabor type unitary systems Frame wavelets, super-wavelets and frame sets Frame…
FRAMES FOR BANACH SPACES
- P. Casazza, Deguang Han, D. Larson
- Mathematics
- 1977
We use several fundamental results which characterize frames for a Hilbert space to give natural generalizations of Hilbert space frames to general Banach spaces. However, we will see that all of…
On multiresolution analysis (MRA) wavelets in ℝn
- Qing Gu, Deguang Han
- Mathematics
- 1 July 2000
We prove that for any expansive n×n integral matrix A with |det A|=2, there exist A-dilation minimally supported frequency (MSF) wavelets that are associated with a multiresolution analysis (MRA).…
Frames Associated with Measurable Spaces
- J. Gabardo, Deguang Han
- MathematicsAdv. Comput. Math.
- 1 February 2003
TLDR
The existence of subspace wavelet sets
- X. Dai, Y. Diao, Qing Gu, Deguang Han
- Mathematics
- 1 June 2003
Frames for Undergraduates
- Deguang Han
- Mathematics
- 5 December 2007
Introduction Linear algebra review Finite-dimensional operator theory Introduction to finite frames Frames in $\mathbb{R}^2$ The dilation property of frames Dual and orthogonal frames Frame operator…
Lattice tiling and the Weyl—Heisenberg frames
- Deguang Han, Yang Wang
- Mathematics
- 1 November 2001
Abstract. Let {\cal L} and {\cal K} be two full rank lattices in
$ {\Bbb R}^d $. We prove that if
$ {\rm v}({\cal L} ) = {\rm v}({\cal K}) $, i.e. they have the same volume, then there exists a…
FRAME REPRESENTATIONS FOR GROUP-LIKE UNITARY OPERATOR SYSTEMS
- J. Gabardo, Deguang Han
- Mathematics
- 2003
Communicated by S Str˘atil˘a Abstract. A group-like unitary system U is a set of unitary operators such that the group generated by the system is contained in TU, where T denotes the unit circle.…
The Balian–Low theorem for symplectic lattices in higher dimensions
- K. Gröchenig, Deguang Han, C. Heil, G. Kutyniok
- Mathematics
- 1 September 2002
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