A note on the p-adic Kozyrev wavelets basis

DOI10.15446/recolma.v55n1.99095zbMath1496.42044OpenAlexW3208219819MaRDI QIDQ5029391

Edilberto Arroyo-Ortiz

Publication date: 14 February 2022

Published in: Revista Colombiana de Matemáticas (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15446/recolma.v55n1.99095

zbMATH Keywords

\(p\)-adic numbers\(p\)-adic waveletsSobolev-type spaces

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) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Cites Work

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• Pseudodifferential equations over non-Archimedean spaces
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• Multidimensional basis of \(p\)-adic wavelets and representation theory
• p-adic quantum mechanics
• Number theory as the ultimate physical theory
• Construction of \(p\)-adic covariant quantum fields in the framework of white noise analysis
• Non-Archimedean white noise, pseudodifferential stochastic equations, and massive Euclidean fields
• SPECTRAL THEORY INp-ADIC QUANTUM MECHANICS, AND REPRESENTATION THEORY
• Fourier Analysis on Local Fields. (MN-15)
• Ultrametric Pseudodifferential Equations and Applications

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