Deguang Han

Publications123
h-index27
Citations2,884
Highly Influential Citations129
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Frames, bases, and group representations
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…
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FRAMES FOR BANACH SPACES
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…
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On multiresolution analysis (MRA) wavelets in ℝn
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).…
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Frames Associated with Measurable Spaces
TLDR
Two results dealing with dilation and perturbation properties of general frames are presented and a necessary and sufficient condition for a representing measure to be an extreme point of the set of representing measures is given.
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The existence of subspace wavelet sets
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Frames for Undergraduates
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…
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Optimal dual frames for erasures
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Lattice tiling and the Weyl—Heisenberg frames
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…
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FRAME REPRESENTATIONS FOR GROUP-LIKE UNITARY OPERATOR SYSTEMS
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
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