Pseudo-differential equations connected with p-adic forms and local zeta functions
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We study the asymptotics of fundamental solutions of p-adic pseudo-differential equations of type where f(∂,β) is a pseudo-differential operator with symbol , f is a form of arbitrary degree with coefficients in a p-adic field, λ ≥ 0, and g is a Schwartz-Bruhat function.
- Barry University United States
Zeta functions and \(L\)-functions, FOS: Physical sciences, local zeta functions, Operator theory over fields other than \(\mathbb{R}\), \(\mathbb{C}\) or the quaternions; non-Archimedean operator theory, \(p\)-adic pseudodifferential equations, Mathematical Physics (math-ph), Mathematics - Algebraic Geometry, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis, FOS: Mathematics, Green functions, Algebraic Geometry (math.AG), Mathematical Physics
Zeta functions and \(L\)-functions, FOS: Physical sciences, local zeta functions, Operator theory over fields other than \(\mathbb{R}\), \(\mathbb{C}\) or the quaternions; non-Archimedean operator theory, \(p\)-adic pseudodifferential equations, Mathematical Physics (math-ph), Mathematics - Algebraic Geometry, Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis, FOS: Mathematics, Green functions, Algebraic Geometry (math.AG), Mathematical Physics
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