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10 items by relevance
1 Book chapter

Frames and Generalized Shift-Invariant Systems

Christensen, Ole

Pseudo-differential Operators and Related Topics — 2006, pp. 193-209

With motivation from the theory of Hilbert-Schmidt operators we review recent topics concerning frames in L2(ℝ) and their duals. Frames are generalizations of orthonormal bases in Hilbert spaces. As for an orthonormal basis, a frame allows each element in the underlying Hilbert space to be written

Year: 2006

Language: English

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2 Conference paper

Frames and generalized shift-invariant systems

Christensen, Ole

Operator Theory : Advances and Applications — 2004, pp. 193-209

With motivation from the theory of Hilbert-Schmidt operators we review recent topics concerning frames in L 2 (R) and their duals. Frames are generalizations of orthonormal bases in Hilbert spaces. As for an orthonormal basis, a frame allows each element in the underlying Hilbert space

Year: 2004

Language: English

More...
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3 Journal article

Generalized shift-invariant systems and frames for subspaces

Christensen, Ole; Eldar, Y.C.

Journal of Fourier Analysis and Applications — 2005, Volume 11, Issue 3, pp. 299-313

the action of a matrix. As special cases of our result we find conditions for shift-invariant systems, Gabor systems, and wavelet systems to generate a subspace frame with a corresponding dual having the same structure.

Year: 2005

Language: English

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fgnbajo pli chkde m
4 Journal article · Preprint article

Generalized shift-invariant systems and approximately dual frames

Benavente, Ana; Christensen, Ole; Zakowicz, Maria I.

Annals of Functional Analysis — 2017, Volume 8, Issue 2, pp. 177-189

consider the important case of generalized shift-invariant systems and provide various ways of estimating the deviation from perfect reconstruction that occur when the systems do not form dual frames. The deviation from being dual frames will be measured either in terms of a perturbation condition

Year: 2017

Language: English

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