Trace formula on the p-adic upper half-plane

研究成果: Article査読

1 被引用数 (Scopus)

抄録

This article aims at showing a p-adic analogue of Selberg's trace formula, which describes a duality between the spectrum of a Hilbert-Schmidt operator and the length of prime geodesics appearing in the p-adic upper half-plane associated with a hyperbolic discontinuous subgroup of SL(2,Qp). Then we construct Markov processes on the fundamental domain relative to such subgroups, to whose transition operators the trace formula applied and a p-adic analogue of prime geodesic theorem is proved.

本文言語English
ページ(範囲)422-454
ページ数33
ジャーナルJournal of Functional Analysis
216
2
DOI
出版ステータスPublished - 2004 11 15
外部発表はい

ASJC Scopus subject areas

  • Analysis

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