Frames generated by actions of countable discrete groups

DOI10.1090/S0002-9947-2010-05260-2zbMath1213.42123arXiv0911.4210MaRDI QIDQ3082346

Kjetil Røysland

Publication date: 10 March 2011

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4210

zbMATH Keywords

framesshift-invariant subspacesmultiresolution analysis and unitary group representations

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15) Stability for projective modules (19A13)

Related Items (1)

Pairwise orthogonal frames generated by regular representations of LCA groups

Cites Work

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• Serre's conjecture
• Wavelet filter functions, the matrix completion problem, and projective modules over \(C(\mathbb{T}^n)\).
• Wavelets and Hilbert modules
• The algebra of harmonic functions for a matrix-valued transfer operator
• Symmetries in projective multiresolution analyses
• Projective multi-resolution analyses for \(L^2(\mathbb R^2)\)
• Projective multi-resolution analyses arising from direct limits of Hilbert modules
• Ten Lectures on Wavelets
• Biorthogonal bases of compactly supported wavelets
• Projective Modules over Laurent Polynomial Rings
• Frames, bases and group representations
• \(C^*\)-algebras by example

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