Decompositions of \(g\)-frames and duals and pseudoduals of \(g\)-frames in Hilbert spaces

DOI10.1155/2015/305961zbMath1339.46009OpenAlexW2066374976WikidataQ59112792 ScholiaQ59112792MaRDI QIDQ492517

Xun Xiang Guo

Publication date: 20 August 2015

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/305961

zbMATH Keywords

\(g\)-framesdual \(g\)-frames

Mathematics Subject Classification ID

General harmonic expansions, frames (42C15) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15)

Related Items (1)

Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact g-frames in Hilbert spaces
• g-Besselian frames in Hilbert spaces
• Characterizations of \(g\)-frames and \(g\)-Riesz bases in Hilbert spaces
• Excess of a class of g-frames
• Every frame is a sum of three (but not two) orthonormal bases -- and other frame representations
• Pseudoframes for subspaces with applications
• Frames and pseudo-inverses
• \(g\)-frames and \(g\)-frame sequences in Hilbert spaces
• The canonical and alternate duals of a wavelet frame
• Operator characterizations and some properties of \(g\)-frames on Hilbert spaces
• Fusion frames and \(g\)-frames
• \(g\)-frames and \(g\)-Riesz bases
• Expansion theorems of Paley-Wiener type
• A note on finite dual frame pairs
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Frames, bases and group representations
• On general frame decompositions
• <italic>g</italic>-Orthonormal bases in Hilbert spaces
• A Class of Nonharmonic Fourier Series
• Pseudo-duals of frames with applications

This page was built for publication: Decompositions of \(g\)-frames and duals and pseudoduals of \(g\)-frames in Hilbert spaces