Some Results on Oblique Dual and Approximate Oblique Dual Hilbert-Schmidt Frames

DOI10.1080/01630563.2024.2423247MaRDI QIDQ6657537

Publication date: 6 January 2025

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Mathematics Subject Classification ID

Generalizations of inner products (semi-inner products, partial inner products, etc.) (46C50) Linear operator approximation theory (47A58) General harmonic expansions, frames (42C15)

Cites Work

Unnamed Item
Construction of approximate dual wavelet frames
Multi-window gabor frames and oblique Gabor duals on discrete periodic sets
Optimal dual frames for erasures. II
Stability of \(g\)-frames
Fusion frames and distributed processing
Characterizations of \(g\)-frames and \(g\)-Riesz bases in Hilbert spaces
Harmonic analysis of neural networks
Quasi-orthogonal decompositions of structured frames.
Sampling with arbitrary sampling and reconstruction spaces and oblique dual frame vectors
The art of frame theory
Foundations of time-frequency analysis
Dual and approximately dual Hilbert-Schmidt frames in Hilbert spaces
Von Neumann-Schatten frames in separable Banach spaces
Oblique dual frames and shift-invariant spaces
A characterization of affine dual frames in \(L^2(\mathbb{R}^n)\)
Portraits and perturbations of Hilbert-Schmidt frame sequences
\(\epsilon\)-approximations and dynamical representations of Hilbert-Schmidt frames
From dual pairs of Gabor frames to dual pairs of wavelet frames and vice versa
Some identities and inequalities for Hilbert-Schmidt frames
\(g\)-frames and \(g\)-Riesz bases
Approximate duality of g-frames in Hilbert spaces
Continuous curvelet transform. II: Discretization and frames
Dynamical sampling for shift-preserving operators
Painless nonorthogonal expansions
Biorthogonal bases of compactly supported wavelets
Oblique projections, biorthogonal Riesz bases and multiwavelets in Hilbert spaces
Duality principles in Hilbert‐Schmidt frame theory
Hilbert–Schmidt frames and their duals
GENERAL FRAMEWORK FOR CONSISTENT SAMPLING IN HILBERT SPACES
A Class of Nonharmonic Fourier Series
An introduction to frames and Riesz bases
Characterizations and Representations of H-S-Frames in Hilbert Spaces
Approximate oblique dual frames
Approximate oblique dual \(g\)-frames for closed subspaces of Hilbert spaces

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