POSITIVE DEFINITE MAPS, REPRESENTATIONS AND FRAMES

DOI10.1142/S0129055X04002047zbMath1055.46038arXivmath/0511137OpenAlexW2172170125MaRDI QIDQ4818917

Dorin Ervin Dutkay

Publication date: 24 September 2004

Published in: Reviews in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511137

zbMATH Keywords

waveletstight framespositive definite kernelsrepresentationsGabor framesKolmogorov decompositionRuelle transfer operator

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) General theory of (C^*)-algebras (46L05)

Related Items (7)

A class of vector-valued subspace weak Gabor duals of type II ⋮ Orthonormal dilations of parseval wavelets ⋮ Hilbert space representations of decoherence functionals and quantum measures ⋮ Iterated Function Systems, Moments, and Transformations of Infinite Matrices ⋮ Renormalized quantum tomography ⋮ On the orthogonality of frames and the density and connectivity of wavelet frames ⋮ Low-pass filters and representations of the Baumslag Solitar group

Cites Work

• Representations of hermitian kernels by means of Kreĭn spaces
• Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale \(N\)
• Harmonic analysis of signed Ruelle transfer operators
• Necessary and sufficient conditions for constructing orthonormal wavelet bases
• Ten Lectures on Wavelets
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