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Haar multiresolution analysis and Haar bases on the ring of rational adeles

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Publication:744484
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DOI10.1007/s10958-013-1385-7zbMath1302.11091OpenAlexW2010851306MaRDI QIDQ744484

Sergei Evdokimov

Publication date: 25 September 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1385-7


zbMATH Keywords

Haar baseselementary dilationsHaar multiresolutionring of adeles


Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Adèle rings and groups (11R56)


Related Items

On non-compactly supported \(p\)-adic wavelets ⋮ Non-Archimedean analysis and a wave-type pseudodifferential equation on finite adèles ⋮ On orthogonal \(p\)-adic wavelet bases ⋮ Step refinable functions and orthogonal MRA on Vilenkin groups



Cites Work

  • Unnamed Item
  • \(p\)-adic Haar multiresolution analysis and pseudo-differential operators
  • \(p\)-adic multiresolution analysis and wavelet frames
  • Wavelet theory as $ p$-adic spectral analysis
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