New characterizations of Riesz bases

DOI10.1006/acha.1997.0210zbMath0902.42015OpenAlexW2084899942MaRDI QIDQ1361388

Jae Kun Lim, Hong Oh Kim

Publication date: 29 November 1998

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d5ffb6fd466e36da6580ee5112c8f9319b42a0f4

zbMATH Keywords

Riesz basiseigenvaluesprojection methodframesRiesz bounds

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15)

Related Items

GENERALIZED p-FRAME IN SEPARABLE COMPLEX BANACH SPACES ⋮ Closed range weighted composition operators and dynamical sampling ⋮ Finite quantum tomography and semidefinite programming ⋮ Frame properties of systems arising via iterated actions of operators ⋮ A multivariate Riesz basis of ReLU neural networks ⋮ Frames, Riesz bases, and discrete Gabor/wavelet expansions ⋮ Angle criteria for frame sequences and frames containing a Riesz basis ⋮ Approximation of the inverse frame operator and applications to Gabor frames ⋮ Characterizations of \(g\)-frames and \(g\)-Riesz bases in Hilbert spaces ⋮ Frames of exponentials: Lower frame bounds for finite subfamilies and approximation of the inverse frame operator ⋮ Riesz-Fischer sequences and lower frame bounds ⋮ Local analysis of frame multiresolution analysis with a general dilation matrix ⋮ Galerkin method with new quadratic spline wavelets for integral and integro-differential equations ⋮ On the frames of translates on locally compact abelian groups ⋮ Decomposition of Riesz frames and wavelets into a finite union of linearly independent sets

Cites Work

• Unnamed Item
• Unnamed Item
• Frames and the projection method
• Continuous frames in Hilbert space
• Frames containing a Riesz basis and approximation of the frame coefficients using finite-dimensional methods
• Ten Lectures on Wavelets
• Pre-Frame Operators, Besselian Frames, and Near-Riesz Bases in Hilbert Spaces
• Frame Perturbations