Compactly supported wavelets and representations of the Cuntz relations

zbMath0960.42013arXivmath/9912129MaRDI QIDQ1975533

Ola Bratteli, David E. Evans, Palle E. T. Jorgensen

Publication date: 25 October 2000

Published in: Applied and Computational Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9912129

zbMATH Keywords

waveletsCuntz algebraCuntz relations

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General theory of (C^*)-algebras (46L05)

Related Items (18)

On the Exel crossed product of topological covering maps ⋮ Commutativity and ideals in strongly graded rings. ⋮ Geometric aspects of frame representations of abelian groups ⋮ On fractional Brownian motion and wavelets ⋮ Unnamed Item ⋮ Parseval frames from compressions of Cuntz algebras ⋮ Atomic representations of Cuntz algebras ⋮ Representation theory and multilevel filters ⋮ Representations of polynomial covariance type commutation relations by linear integral operators on \(L_p\) over measure spaces ⋮ Linear integral operators on \(L_p\) spaces representing polynomial covariance type commutation relations ⋮ Multiplication and linear integral operators on \(L_p\) spaces representing polynomial covariant type commutation relations ⋮ Representations of polynomial covariance type commutation relations by piecewise function multiplication and composition operators ⋮ \(C^*\)-crossed products and shift spaces ⋮ Generalized Bernstein polynomials and symmetric functions ⋮ Orthonormal bases generated by Cuntz algebras ⋮ Minimality of the data in wavelet filters (with an appendix by Brian Treadway) ⋮ Hermite interpolation in loop groups and conjugate quadrature filter approximation ⋮ Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations

Cites Work

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• Isometries, shifts, Cuntz algebras and multiresolution wavelet analysis of scale \(N\)
• The algebraic structure of non-commutative analytic Toeplitz algebras
• Self-similarity in harmonic analysis
• Parametrizing Smooth Compactly Supported Wavelets
• Self-Similar Sets 5. Integer Matrices and Fractal Tilings of ℝ n
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
• Iterated function systems and permutation representations of the Cuntz algebra
• Wavelet Calculus and Finite Difference Operators
• SU I (2, F [ z,1/z ) for F A Subfield of C]
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