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Trace formula on the \(p\)-adic upper half-plane

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Publication:705980
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DOI10.1016/j.jfa.2004.03.008zbMath1059.22011OpenAlexW2031858724MaRDI QIDQ705980

Kumi Yasuda

Publication date: 16 February 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.03.008


zbMATH Keywords

Markov process\(p\)-adic upper half-planeIhara zeta functionHilbert-Schmidt operatorprime geodesic theoremSelberg's trace formula


Mathematics Subject Classification ID

Analysis on (p)-adic Lie groups (22E35) Markov processes (60J99)


Related Items

Random processes on non-Archimedean spaces ⋮ Heat Traces and Spectral Zeta Functions for $p$-adic Laplacians



Cites Work

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  • A random walk on \(p\)-adics -- the generator and its spectrum
  • On discrete subgroups of the two by two projective linear group over \(p\)-adic fields


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