Gabor duals for operator-valued Gabor frames on locally compact abelian groups

DOI10.3103/S1068362319060025zbMath1477.42033OpenAlexW2996987785MaRDI QIDQ2173207

Yanyan Li

Publication date: 22 April 2020

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362319060025

zbMATH Keywords

LCA groupGabor dual frameoperator valued Gabor frame

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General theory of von Neumann algebras (46L10) General harmonic expansions, frames (42C15) Other transforms and operators of Fourier type (43A32) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Operator valued frames and structured quantum channels
• Optimal linear transmission by loss-insensitive packet encoding
• Density and duality theorems for regular Gabor frames
• The existence of tight Gabor duals for Gabor frames and subspace Gabor frames
• Von Neumann algebras associated with pairs of lattices in Lie groups
• The uniqueness of the dual of Weyl--Heisenberg subspace frames
• Shift-invariant spaces on LCA groups
• Frame representations and Parseval duals with applications to Gabor frames
• Operator-valued frames
• Weyl-Heisenberg frames for subspaces of $L^2(R)$
• Frames, bases and group representations
• Approximations for Gabor and wavelet frames
• A Class of Nonharmonic Fourier Series
• Subspace Weyl-Heisenberg frames
• Co-compact Gabor systems on locally compact abelian groups