Pseudo-differential operators over <italic>p</italic>-adic fields

DOI10.1360/012008-772zbMath1485.47074OpenAlexW2312298939MaRDI QIDQ5017658

Hua Qiu, Wei Yi Su

Publication date: 17 December 2021

Published in: SCIENTIA SINICA Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1360/012008-772

zbMATH Keywords

eigenfunctionsorthonormal basispseudo-differential operators\(p\)-adic fields

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10) Pseudodifferential operators (47G30)

Related Items (7)

\(p\)-adic Laplacian in local fields ⋮ Solving nonlinear \(p\)-adic pseudo-differential equations: combining the wavelet basis with the Schauder fixed point theorem ⋮ Cauchy problems for evolutionary pseudodifferential equations over \(p\)-adic field ⋮ On the p-Adic analog of Richards’ equation with the finite difference method ⋮ \(p\)-adic fractional pseudodifferential equations and Sobolev type spaces over \(p\)-adic fields ⋮ On the solutions of Cauchy problem for two classes of semi-linear pseudo-differential equations over \(p\)-adic field ⋮ \(p\)-adic analogue of the wave equation

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