Some problems of analysis on the field ofp-adic numbers

DOI10.1080/10652469808819155zbMath0904.11038OpenAlexW2057102960MaRDI QIDQ3841113

Vasily S. Vladimirov

Publication date: 10 November 1998

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469808819155

zbMATH Keywords

pseudodifferential operatorsCauchy problemsFourier transformationsPlanck lengthcomplex-valued functionslocally constant functions\(p\)-adic number fieldsadelic formulaconvolution of generalized functionsSchrödinger type eigenvalue problems

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Adèle rings and groups (11R56) (p)-adic theory (11E95) Non-Archimedean analysis (26E30)

Cites Work

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• P-adic Schrödinger-type equation
• p-adic space-time and string theory
• On \(p\)-adic Green's functions
• Schrödinger-type operator over \(p\)-adic number field
• A Schrödinger-type equation over the field of p-adic numbers
• SPECTRAL THEORY INp-ADIC QUANTUM MECHANICS, AND REPRESENTATION THEORY
• Generalized functions over the field ofp-adic numbers
• Fourier Analysis on Local Fields. (MN-15)

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