Group Riesz and frame sequences: the bracket and the Gramian
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Publication:1752913
DOI10.1007/s13348-017-0202-xzbMath1391.42033arXiv1608.02767OpenAlexW2964199497MaRDI QIDQ1752913
Davide Barbieri, Eugenio Hernández, Victoria Paternostro
Publication date: 24 May 2018
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.02767
General harmonic expansions, frames (42C15) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Linear operators in (C^*)- or von Neumann algebras (47C15)
Related Items (5)
Spaces invariant under unitary representations of discrete groups ⋮ Frames of translates for number-theoretic groups ⋮ Pairwise orthogonal frames generated by regular representations of LCA groups ⋮ Approximation by group invariant subspaces ⋮ Spaces generated by orbits of unitary representations: a tribute to Guido Weiss
Cites Work
- Smooth Fourier multipliers on group von Neumann algebras
- Riesz and frame systems generated by unitary actions of discrete groups
- Notes on non-commutative integration
- The theory of multiresolution analysis frames and applications to filter banks
- The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\)
- The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
- Theory of operator algebras. II
- The Zak transform and the structure of spaces invariant by the action of an LCA group
- Gabor Schauder bases and the Balian-Low theorem
- The Elements of Operator Theory
- Ten Lectures on Wavelets
- Approximation from Shift-Invariant Subspaces of L 2 (ℝ d )
- Cyclic subspaces for unitary representations of LCA groups; generalized Zak transform
- An introduction to frames and Riesz bases
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