A Characterization of Orthonormal Multilevel Wavelet Families in Sobolev Space over Local Fields of Positive Characteristic
From MaRDI portal
Publication:5029305
DOI10.5556/j.tkjm.52.2021.3327zbMath1487.42085OpenAlexW3136691811MaRDI QIDQ5029305
Publication date: 11 February 2022
Published in: Tamkang Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5556/j.tkjm.52.2021.3327
Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) (p)-adic theory, local fields (11F85)
Related Items
Cites Work
- Multiresolution analysis on local fields
- Affine systems in \(L_ 2(\mathbb{R}^d)\): The analysis of the analysis operator
- Affine frames, quasi-affine frames, and their duals
- The structure of shift-invariant subspaces of \(L^2(\mathbb{R}^n)\)
- A wavelet theory for local fields and related groups
- Characterization of multiwavelets and MRA wavelets in \(H^s(\mathbb{F})\)
- Characterization of wavelets and MRA wavelets on local fields of positive characteristic
- Biorthogonal wavelets in Sobolev space over local fields of positive characteristic
- On characterizations of multiwavelets in $L^{2}(\mathbb {R}^n)$
- Haar wavelets on the Lebesgue spaces of local fields of positive characteristic
- Multiresolution analysis on local fields and characterization of scaling functions
- Ten Lectures on Wavelets
- Fourier Analysis on Local Fields. (MN-15)
- Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)
- Wavelets in Sobolev space over local fields of positive characteristics
- Continuous wavelet transform on local fields
- A necessary and sufficient condition for the existence of a father wavelet
- Frames and Stable Bases for Shift-Invariant Subspaces of L2(ℝd)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item