Trace formula for p-adics

Sergio Albeverio, Witold Karwowski, Kumi Yasuda

Research output: Contribution to journalArticle

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
Externally publishedYes

Fingerprint

Selberg Trace Formula
Natural Operator
Closed Geodesics
Trace Formula
Probabilistic Methods
P-adic
Elliptic Operator
Semigroup
Trace
Generator
Analogue

Keywords

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

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Trace formula for p-adics. / Albeverio, Sergio; Karwowski, Witold; Yasuda, Kumi.

In: Acta Applicandae Mathematicae, Vol. 71, No. 1, 03.2002, p. 31-48.

Research output: Contribution to journalArticle

Albeverio, Sergio ; Karwowski, Witold ; Yasuda, Kumi. / Trace formula for p-adics. In: Acta Applicandae Mathematicae. 2002 ; Vol. 71, No. 1. pp. 31-48.
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