Article ID Journal Published Year Pages File Type
4592799 Journal of Functional Analysis 2007 14 Pages PDF
Abstract

By using an explicit representation for the horizontal lift of the Brownian motion on the Poincaré upper half-plane H2, we show an expression for the heat kernel for the de Rham–Kodaira Laplacian on H2. We apply the result to a study on the Selberg trace formula.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory