Non-Archimedean analysis and a wave-type pseudodifferential equation on finite adèles

DOI10.1007/S11868-020-00343-1zbMath1466.35380OpenAlexW3030981887WikidataQ115377537 ScholiaQ115377537MaRDI QIDQ2193925

Samuel Estala-Arias, Victor A. Aguilar-Arteaga, Manuel Cruz-López

Publication date: 25 August 2020

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-020-00343-1

zbMATH Keywords

Fourier analysisnon-Archimedean analysispseudodifferential equationsfinite adèle ringsecond Chebyshev function

Mathematics Subject Classification ID

Second-order hyperbolic equations (35L10) (p)-adic differential equations (12H25) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Other nonanalytic theory (11S85) Initial value problems for PDEs with pseudodifferential operators (35S10) Harmonic analysis and PDEs (42B37)

Related Items (5)

On some generalizations of non-Archimedean pseudo-differential operators and their applications ⋮ Matrix-valued Schrödinger operators over finite adeles ⋮ Non-Archimedean generalized Bessel potentials and their applications ⋮ Pseudodifferential operators and Markov processes on certain totally disconnected groups ⋮ Non-Archimedean pseudo-differential operators on Sobolev spaces related to negative definite functions

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