Generalized weaving frames for operators in Hilbert spaces

DOI10.1007/s00025-017-0704-6zbMath1385.42028OpenAlexW2677448318MaRDI QIDQ1682578

Deepshikha, Geetika Verma, Lalit Kumar Vashisht

Publication date: 30 November 2017

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-017-0704-6

zbMATH Keywords

perturbationBessel sequenceweaving framesHilbert framesatomic systemgeneralized frames

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items

Weaving K-fusion frames in Hilbert spaces, Vector-valued (super) weaving frames, \(\mathcal K\)-matrix-valued wave packet frames in \(L^2(\mathbb R^d,\mathbb C^{s\times r})\), On perturbations of woven pairs of frames, Weaving frames in Hilbert \(C^\ast\)-modules, On \(K\)-woven frames in Hilbert \(C^\ast\)-modules, Equivalence relations and distances between generalized frames, Characterizations of woven frames, Continuous weaving fusion frames in Hilbert spaces, Weaving Hilbert space fusion frames, Hilbert–Schmidt Frames: Duality, Weaving and Stability, Weaving \(K\)-frames in Hilbert spaces, Construction of \(P^{th}\)-stage nonuniform discrete wavelet frames, Controlled weaving frames in Hilbert spaces, Characterizations of weaving for g-frames by induced sequences, Multivariate Gabor frames for operators in matrix-valued signal spaces over locally compact abelian groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weaving Schauder frames
• Weaving properties of generalized continuous frames generated by an iterated function system
• Finite frames. Theory and applications.
• On continuous weaving frames
• Generalized continuous frames constructed by using an iterated function system
• Continuous and discrete frames on Julia sets
• Frames for operators
• Irregular sampling theorems and series expansions of band-limited functions
• The art of frame theory
• Frames built on fractal sets
• \(g\)-frames and \(g\)-Riesz bases
• Phase Retrieval By Projections
• Weaving frames
• Frames, bases and group representations
• Analytic representation of finite quantum systems
• Portraits of Frames
• Algebraic Geometry and Finite Frames
• Generalized frames for operators in Hilbert spaces
• On Majorization, Factorization, and Range Inclusion of Operators on Hilbert Space
• A Class of Nonharmonic Fourier Series
• An introduction to frames and Riesz bases
• Pseudo-duals of frames with applications