On \(p\)-adic tight wavelet frames
From MaRDI portal
Publication:6110863
DOI10.1016/j.jmaa.2023.127372zbMath1525.42037arXiv2203.06352OpenAlexW4367841114MaRDI QIDQ6110863
S. F. Lukomskii, A. M. Vodolazov
Publication date: 6 July 2023
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.06352
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) General harmonic expansions, frames (42C15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On non-compactly supported \(p\)-adic wavelets
- Biorthogonal wavelets on local fields of positive characteristic
- Wavelet packets and wavelet frame packets on local fields of positive characteristic
- On orthogonal \(p\)-adic wavelet bases
- Step refinable functions and orthogonal MRA on Vilenkin groups
- Non-Haar MRA on local fields of positive characteristic
- Multiresolution analysis on local fields
- \(p\)-adic Haar multiresolution analysis and pseudo-differential operators
- On the orthogonality of a system of shifts of the scaling function on Vilenkin groups
- Orthogonal wavelets on direct products of cyclic groups
- \(p\)-adic refinable functions and MRA-based wavelets
- Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- Construction of wavelets through Walsh functions
- \(p\)-adic multiresolution analysis and wavelet frames
- Fast discrete Fourier transform on local fields of positive characteristic
- Characterization of wavelets and MRA wavelets on local fields of positive characteristic
- Tight wavelet frames on local fields
- Multiresolution analysis on local fields and characterization of scaling functions
- Wavelet frames on Vilenkin groups and their approximation properties
- N-Valid trees in wavelet theory on Vilenkin groups
- Orthonormal bases of compactly supported wavelets
- Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
- On orthogonal systems of shifts of scaling function on local fields of positive characteristic
- Wavelet theory as $ p$-adic spectral analysis
- Multiresolution analysis on zero-dimensional Abelian groups and wavelets bases
- Construction of Parseval Framelets Associated with GMRA on Local Fields of Positive Characteristic