Low-pass filters and representations of the Baumslag Solitar group

DOI10.1090/S0002-9947-06-04230-9zbMath1171.42020arXivmath/0407344MaRDI QIDQ3420322

Dorin Ervin Dutkay

Publication date: 1 February 2007

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

Full work available at URL: https://arxiv.org/abs/math/0407344

zbMATH Keywords

decompositionwaveletlow-pass filterBaumslag Solitar group

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Measure-preserving transformations (28D05) Hausdorff and packing measures (28A78) Decomposition theory for (C^*)-algebras (46L45)

Related Items (13)

Generalized Gramians: Creating frame vectors in maximal subspaces ⋮ Decomposing the wavelet representation for shifts by wallpaper groups ⋮ Baumslag-Solitar group \(C^*\)-algebras from interval maps ⋮ Probability measures on solenoids corresponding to fractal wavelets ⋮ The 2-adic ring \(C^{\ast}\)-algebra of the integers and its representations ⋮ Decomposition of wavelet representations and Martin boundaries ⋮ Direct limits, multiresolution analyses, and wavelets ⋮ Wavelet Representations and Their Commutant ⋮ Reducibility of the wavelet representation associated to the Cantor set ⋮ Unitary representations of the Baumslag-Solitar group on the Cantor set ⋮ Unitary representations of wavelet groups and encoding of iterated function systems in solenoids ⋮ Dynamics, Wavelets, Commutants and Transfer Operators Satisfying Crossed Product Type Commutation Relations ⋮ The Role of Transfer Operators and Shifts in the Study of Fractals: Encoding-Models, Analysis and Geometry, Commutative and Non-commutative

Cites Work

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• Wavelets on fractals
• Low-pass filters, martingales, and multiresolution analyses
• MRA super-wavelets
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• Ruelle operators: functions which are harmonic with respect to a transfer operator
• Markov Operators on the Solvable Baumslag–Solitar Groups
• Ten Lectures on Wavelets
• Ergodic decomposition of quasi-invariant probability measures
• POSITIVE DEFINITE MAPS, REPRESENTATIONS AND FRAMES

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