Multiresolution analysis on Sobolev space over local fields of positive characteristic and characterization of scaling function

DOI10.61186/IJMSI.19.1.161zbMATH Open1543.42048MaRDI QIDQ6571586

Ashish Pathak, Dileep Kumar

Publication date: 12 July 2024

Published in: Iranian Journal of Mathematical Sciences and Informatics (Search for Journal in Brave)

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)

Cites Work

• 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
• Multiresolution analysis on local fields and characterization of scaling functions
• 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
• Wavelet theory as $ p$-adic spectral analysis
• Fractional nonuniform multiresolution analysis in L2(ℝ)
• Multiresolution analysis on Sobolev space over local fields of positive characteristic and characterization of scaling function
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Related Items (2)

Multiresolution analysis on Sobolev space over local fields of positive characteristic and characterization of scaling function ⋮ Multilevel wavelet packets in Sobolev space over local fields of positive characteristic

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