Title of article
Horizontal lift of the Brownian motion on the hyperbolic plane and the Selberg trace formula
Author/Authors
Hiroyuki Matsumoto، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2007
Pages
14
From page
565
To page
578
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.
© 2006 Elsevier Inc. All rights reserved.
Keywords
Horizontal lift , Brownian motion , Poincaré upper half-plane , De Rham–Kodaira Laplacian , Heat kernel , Selberg trace formula
Journal title
Journal of Functional Analysis
Serial Year
2007
Journal title
Journal of Functional Analysis
Record number
839353
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