In memoriam: Vladimir M. Shelkovich (1949--2013)

DOI10.1134/S2070046613030084zbMath1283.01015OpenAlexW2015031453MaRDI QIDQ2440385

Yanyan Li

Publication date: 18 March 2014

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046613030084

zbMATH Keywords

\(p\)-adic distributions\(p\)-adic wavelets\(p\)-adic pseudo-differential operators\(p\)-adic Lizorkin-Shelkovich spacesVladimir M. Shelkovich

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of harmonic analysis on Euclidean spaces (42-03) History of operator theory (47-03) History of functional analysis (46-03) History of partial differential equations (35-03)

Cites Work

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• \(p\)-adic Haar multiresolution analysis and pseudo-differential operators
• Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems
• Wavelet analysis on adeles and pseudo-differential operators
• Harmonic analysis in the \(p\)-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, \(p\)-adic wavelets, Tauberian theorems
• Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks
• $ \delta$- and $ \delta'$-shock wave types of singular solutions of systems of conservation laws and transport and concentration processes
• LOCALLY CONVEX SPACES OF VECTOR-VALUED DISTRIBUTIONS WITH MULTIPLICATIVE STRUCTURES
• Non-linear singular problems in $ p$-adic analysis: associative algebras of $ p$-adic distributions

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