Biorthogonal wavelet packets in \(H^s(\mathbb{K})\)

DOI10.1007/s40819-021-01154-8OpenAlexW4200012204MaRDI QIDQ2114517

Guru P. Singh, Ashish Pathak

Publication date: 15 March 2022

Published in: International Journal of Applied and Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40819-021-01154-8

zbMATH Keywords

Sobolev spacelocal fieldsFourier transformsmultiresolution analysisbiorthogonal waveletswavelet packets

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) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10)

Cites Work

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• Wavelet packets and wavelet frame packets on local fields of positive characteristic
• Multiresolution analysis on local fields
• Multidimensional basis of \(p\)-adic wavelets and representation theory
• \(p\)-adic refinable functions and MRA-based wavelets
• A wavelet theory for local fields and related groups
• Biorthogonal wavelets in Sobolev space over local fields of positive characteristic
• Fourier Analysis on Local Fields. (MN-15)
• Wavelets in Sobolev space over local fields of positive characteristics
• Wavelet theory as $ p$-adic spectral analysis

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