HAAR BASES FOR $L^2(\mathbb{Q}_2^2)$ GENERATED BY ONE WAVELET FUNCTION

DOI10.1142/S0219691312500427zbMath1263.42019arXiv1008.0163OpenAlexW2964282404MaRDI QIDQ4917256

No author found.

Publication date: 29 April 2013

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.0163

zbMATH Keywords

wavelet function\(p\)-adic quincunx multiresolution analysis (MRA)\(p\)-adic separable MRA

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) (p)-adic theory (11E95)

Related Items (2)

On biorthogonal discrete wavelet bases ⋮ Multiresolution analysis through low-pass filter on local fields of positive characteristic

Cites Work

• Unnamed Item
• \(p\)-adic Haar multiresolution analysis and pseudo-differential operators
• \(p\)-adic orthogonal wavelet bases
• \(p\)-adic refinable functions and MRA-based wavelets
• Quincunx multiresolution analysis for \(L^2(\mathbb Q^2_2)\)
• Algorithms for wavelet construction on Vilenkin groups
• A wavelet theory for local fields and related groups
• \(p\)-adic multiresolution analysis and wavelet frames
• ON BIORTHOGONAL WAVELETS RELATED TO THE WALSH FUNCTIONS
• CONSTRUCTION OF WAVELET PACKETS ON p-ADIC FIELD
• Multiresolution analysis. Haar bases, and self-similar tilings of R/sup n/

This page was built for publication: HAAR BASES FOR $L^2(\mathbb{Q}_2^2)$ GENERATED BY ONE WAVELET FUNCTION