Wavelets in Sobolev space over local fields of positive characteristics

DOI10.1142/S0219691318500273zbMath1392.42033OpenAlexW2790432365MaRDI QIDQ4571054

Ashish Pathak, Guru P. Singh

Publication date: 6 July 2018

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

Full work available at URL: https://doi.org/10.1142/s0219691318500273

zbMATH Keywords

waveletsFourier transformSobolev spacelocal fieldsmultiresolution analysis

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (6)

Biorthogonal wavelets in Sobolev space over local fields of positive characteristic ⋮ Unnamed Item ⋮ On a characterization of commutativity for prime rings via endomorphisms ⋮ Characterization of multiwavelets and MRA wavelets in \(H^s(\mathbb{F})\) ⋮ Biorthogonal wavelet packets in \(H^s(\mathbb{K})\) ⋮ A Characterization of Orthonormal Multilevel Wavelet Families in Sobolev Space over Local Fields of Positive Characteristic

Cites Work

• Multiresolution analysis on local fields
• Multidimensional basis of \(p\)-adic wavelets and representation theory
• \(p\)-adic refinable functions and MRA-based wavelets
• Regular compactly supported wavelets in Sobolev spaces
• A wavelet theory for local fields and related groups
• On infinitely smooth compactly supported almost-wavelets
• 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)
• Wavelet theory as $ p$-adic spectral analysis
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