Trace formula for p-adics

Sergio Albeverio, Witold Karwowski, Kumi Yasuda

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

We give a p-adic analogue of Selberg's trace formula relating the trace of a semigroup generated by a natural elliptic operator with a sum over contributions coming from closed geodesics. The construction uses probabilistic methods to define the generator.

Original languageEnglish
Pages (from-to)31-48
Number of pages18
JournalActa Applicandae Mathematicae
Volume71
Issue number1
DOIs
Publication statusPublished - 2002 Mar 1
Externally publishedYes

Keywords

  • Geodesics
  • Probabilistic methods
  • Selberg's trace formula
  • Semi-classical
  • Trace formula
  • p-adics

ASJC Scopus subject areas

  • Applied Mathematics

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