Perturbation of frames for a subspace of a Hilbert space.

DOI10.1216/rmjm/1021477349zbMath1161.42309OpenAlexW1984681367MaRDI QIDQ5940627

Chris Lennard, Ole Christensen, Christine Lewis

Publication date: 12 August 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-4/CONT30-4/CONT30-4.html

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (13)

Invariances of frame sequences under perturbations ⋮ Characterization and perturbation of Gabor frame sequences with rational parameters ⋮ Perturbation of frame sequences and its applications to shift-invariant spaces ⋮ Completion versus removal of redundancy by perturbation ⋮ Making more approximate oblique dual frame pairs ⋮ Perturbations of frames ⋮ Unnamed Item ⋮ PERTURBED FRAME SEQUENCES: CANONICAL DUAL SYSTEMS, APPROXIMATE RECONSTRUCTIONS AND APPLICATIONS ⋮ Varying the time-frequency lattice of Gabor frames ⋮ Characterizations of the dilation of frame generator dual pairs for group ⋮ Oblique dual frames and shift-invariant spaces ⋮ Portraits and perturbations of Hilbert-Schmidt frame sequences ⋮ Perturbation of frame sequences in shift-invariant spaces

Cites Work

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• Note on completeness theorems of Paley-Wiener type
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• Ten Lectures on Wavelets
• Operators with Closed Range, Pseudo-Inverses, and Perturbation of Frames for a Subspace
• Perturbations of Banach Frames and Atomic Decompositions
• Continuous and Discrete Wavelet Transforms
• A Paley-Wiener Theorem for Frames
• Expansions of Analytic Functions
• A Class of Nonharmonic Fourier Series

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