Pseudo-differential equations connected with p-adic forms and local zeta functions

DOI10.1017/S0004972700035838zbMath1074.46051arXivmath-ph/0404052OpenAlexW2963707150MaRDI QIDQ4660449

Wilson A. Zuniga-Galindo

Publication date: 21 March 2005

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0404052

zbMATH Keywords

Green functionslocal zeta functions\(p\)-adic pseudodifferential equations

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) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)

Related Items (12)

A new generating function for calculating the Igusa local zeta function ⋮ \(p\)-adic mathematical physics: the first 30 years ⋮ Strong Markov processes and negative definite functions associated with non-Archimedean elliptic pseudo-differential operators ⋮ The Cauchy problems for evolutionary pseudo-differential equations over \(p\)-adic field and the wavelet theory ⋮ Sharp estimates of \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators ⋮ Boundedness of \(p\)-adic Hardy operators and their commutators on \(p\)-adic central Morrey and BMO spaces ⋮ \(p\)-adic wavelets and their applications ⋮ Local zeta functions and fundamental solutions for pseudo-differential operators over \(p\)-adic fields ⋮ Sharp estimates of \(m\)-linear \(p\)-adic Hardy and Hardy-Littlewood-Pólya operators ⋮ \(p\)-adic Haar multiresolution analysis and pseudo-differential operators ⋮ Non-Haar \(p\)-adic wavelets and their application to pseudo-differential operators and equations ⋮ On a \(p\)-adic wave equation

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• Fundamental solutions of pseudodifferential equations connected with $ p$-adic quadratic forms
• Local zeta functions and Newton polyhedra
• Resolution of Singularities and Division of Distributions

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