Haar system on a product of zero-dimensional compact groups

DOI10.2478/s11533-011-0012-4zbMath1238.43004OpenAlexW2079326723MaRDI QIDQ657297

S. F. Lukomskii

Publication date: 16 January 2012

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-011-0012-4

zbMATH Keywords

characterswavelet basesHaar functionscompact zero-dimensional groups

Mathematics Subject Classification ID

Harmonic analysis on specific compact groups (43A75) Adèle rings and groups (11R56) Harmonic analysis on general compact groups (43A77) Analysis on specific locally compact and other abelian groups (43A70)

Related Items (1)

Why are Haar bases in various structures the same?

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• 2-adic wavelet bases
• \(p\)-adic Haar multiresolution analysis and pseudo-differential operators
• Orthogonal wavelets on direct products of cyclic groups
• An infinite family of \(p\)-adic non-Haar wavelet bases and pseudo-differential operators
• \(p\)-adic refinable functions and MRA-based wavelets
• Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations
• \(p\)-adic nonorthogonal wavelet bases
• Fractal multiwavelets related to the Cantor dyadic group
• Quincunx multiresolution analysis for \(L^2(\mathbb Q^2_2)\)
• A wavelet theory for local fields and related groups
• \(p\)-adic multiresolution analysis and wavelet frames
• Haar system on the product of groups of \(p\)-adic integers
• Orthogonal wavelets with compact support on locally compact Abelian groups
• Wavelet theory as $ p$-adic spectral analysis
• Orthogonal Wavelets on the Cantor Dyadic Group
• Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases

This page was built for publication: Haar system on a product of zero-dimensional compact groups