Heat Traces and Spectral Zeta Functions for $p$-adic Laplacians

DOI10.1090/spmj/1505zbMath1398.11143arXiv1511.02146OpenAlexW2963660278MaRDI QIDQ4636967

Leonardo Fabio Chacón-Cortés, Wilson A. Zuniga-Galindo

Publication date: 17 April 2018

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.02146

zbMATH Keywords

spectral zeta function\(p\)-adic heat equation\(p\)-adic integrals of Igusa type

Mathematics Subject Classification ID

Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Zeta functions and (L)-functions (11S40)

Related Items (3)

Heat equations and wavelets on Mumford curves and their finite quotients ⋮ Spectral Zeta Functions ⋮ Hörmander classes of pseudo-differential operators over the compact group of \(p\)-adic integers

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