Markov Operators on the Solvable Baumslag–Solitar Groups

DOI10.1080/10586458.2000.10504653zbMath0983.43005OpenAlexW2044991888MaRDI QIDQ2743878

Florian Martin, Alain Valette

Publication date: 17 September 2001

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/232372

zbMATH Keywords

waveletsCayley graphMarkov operatorsolvable Baumslag-Solitar group

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Analysis on real and complex Lie groups (22E30) Analysis on other specific Lie groups (43A80)

Related Items (5)

Compact \(\kappa \)-deformation and spectral triples ⋮ Orthonormal dilations of parseval wavelets ⋮ A direct integral decomposition of the wavelet representation ⋮ Low-pass filters and representations of the Baumslag Solitar group ⋮ Growth in groups: ideas and perspectives

Cites Work

• On the spectrum of a random walk on the discrete Heisenberg group and the norm of Harper's operator
• Artin's conjecture for primitive roots
• Groups acting on buildings, operator \(K\)-theory, and Novikov's conjecture
• On the spectrum of the sum of generators for a finitely generated group
• \(K\)-theory for \(C^*\)-algebras of one-relator groups
• A rigidity theorem for the solvable Baumslag-Solitar groups. (With an appendix by Daryl Cooper)
• ARTIN'S CONJECTURE FOR PRIMITIVE ROOTS
• Some two-generator one-relator non-Hopfian groups
• Ten Lectures on Wavelets
• Operator 𝐾-theory for groups which act properly and isometrically on Hilbert space
• Unnamed Item

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