On Riesz duals for Gabor systems on LCA groups

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Other transforms and operators of Fourier type (43A32) Analysis on specific locally compact and other abelian groups (43A70)

Cites Work

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Completeness of Gabor systems
On various R-duals and the duality principle
R-duality in g-frames
Wiener amalgam spaces for the fundamental identity of Gabor analysis
Density and duality theorems for regular Gabor frames
Weyl-Heisenberg frames and Riesz bases in \(L_2(\mathbb{R}^d)\)
Poisson summation, the ambiguity function, and the theory of Weyl-Heisenberg frames
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Gabor time-frequency lattices and the Wexler-Raz identity
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Deficits and excesses of frames
Square integrable representations, von Neumann algebras and an application to Gabor analysis
Duality principles in frame theory
Characterizing R-duality in Banach spaces
Duality of Gabor frames and Heisenberg modules
Duality principles for \(F_a \)-frame theory in \(L^2 (\mathbb{R}_+ )\)
Characterizing the R-duality of g-frames
On a class of weak R-duals and the duality relations
The Balian-Low theorem for locally compact abelian groups and vector bundles
On equivalent conditions of two sequences to be R-dual
On R-duals and the duality principle in Gabor analysis
History and evolution of the density theorem for Gabor frames
The density theorem for discrete series representations restricted to lattices
Projective Modules over Higher-Dimensional Non-Commutative Tori
Harmonic Analysis in Phase Space. (AM-122)
Zeros of the Zak transform on locally compact abelian groups
Duality principles in Hilbert‐Schmidt frame theory
Duality relations associated with weak g-R-duals
Co-compact Gabor systems on locally compact abelian groups

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