Orthonormal dilations of non-tight frames

DOI10.1090/S0002-9939-2011-10887-6zbMath1233.42004arXiv1004.3552OpenAlexW2060671885MaRDI QIDQ3092850

Marcin Bownik, John Jasper, Darrin M. Speegle

Publication date: 11 October 2011

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

Full work available at URL: https://arxiv.org/abs/1004.3552

zbMATH Keywords

waveletframeGabor systemprojective unitary representationBaumslag-Solitar grouporthonormal dilation

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) General harmonic expansions, frames (42C15)

Related Items (4)

Dilations of (dual) Hilbert-Schmidt frames ⋮ On some operators and dilations of frame generator and dual pair of frame generators of two structured unitary systems ⋮ Joint similarities and parameterizations for Naimark complementary frames ⋮ Joint similarities and parameterizations for dilations of dual \(g\)-frame pairs in Hilbert spaces

Cites Work

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• Orthonormal dilations of parseval wavelets
• Dilations and completions for Gabor systems
• The Schur-Horn theorem for operators and frames with prescribed norms and frame operator
• Characterization of sequences of frame norms
• Frame duality properties for projective unitary representations
• Some two-generator one-relator non-Hopfian groups
• Frames, bases and group representations

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