Local zeta functions and fundamental solutions for pseudo-differential operators over \(p\)-adic fields

DOI10.1134/S207004661104008XzbMath1268.11153MaRDI QIDQ1760298

Wilson A. Zuniga-Galindo

Publication date: 13 November 2012

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

zbMATH Keywords

fundamental solutionspseudo-differential operatorsIgusa local zeta functionnon-Archimedean functional analysisquasielliptic pseudodifferential operatorsSchrödinger-type pseudo-differential operators

Mathematics Subject Classification ID

Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Zeta functions and (L)-functions (11S40) Pseudodifferential operators (47G30)

Related Items (6)

A new generating function for calculating the Igusa local zeta function ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ The Cauchy problem for non-Archimedean pseudodifferential equations of Klein-Gordon type ⋮ Riesz kernels and pseudodifferential operators attached to quadratic forms over \(p\)-adic fields ⋮ \(p\)-adic wavelets and their applications ⋮ Hierarchical model of the actomyosin molecular motor based on ultrametric diffusion with drift

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