An asymptotic expansion of the \(p\)-adic Green function

DOI10.2748/tmj/1178224976zbMath0917.11059OpenAlexW2108974608MaRDI QIDQ1273498

Youngho Jang

Publication date: 20 July 1999

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178224976

zbMATH Keywords

asymptotic expansionquadratic formGreen function\(p\)-adic number

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Constructive quantum field theory (81T08) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) General mathematical topics and methods in quantum theory (81Q99) Miscellaneous applications of number theory (11Z05) Pseudodifferential operators and other generalizations of partial differential operators (35S99)

Related Items (3)

Local zeta functions and fundamental solutions for pseudo-differential operators over \(p\)-adic fields ⋮ Pseudo-differential equations connected with p-adic forms and local zeta functions ⋮ Fundamental solutions of pseudo-differential operators over \(p\)-adic fields

Cites Work

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• p-adic quantum mechanics for \(p=2\)
• Investigation of \(p\)-adic Green's function
• p-adic quantum mechanics
• On \(p\)-adic Green's functions
• Über einige Integralformeln in der Theorie der quadratischen Formen
• Sur certains groupes d'opérateurs unitaires
• RENORMALIZATION IN p-ADIC QUANTUM FIELD THEORY
• Generalized functions over the field ofp-adic numbers
• Invariant Distributions on Lie Algebras

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