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Heat Kernel Analysis on Lie Groups

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Book cover Stochastic Analysis and Related Topics VII

Part of the book series: Progress in Probability ((PRPR,volume 48))

Abstract

Spaces of maps from one finite dimensional manifold to another finite dimensional manifold provide a naturally occurring source of interesting infinite dimensional manifolds. The study of second order elliptic operators over some of these infinite dimensional manifolds has been the subject of much work in the past forty years, some of it for the purposes of quantum field theory and some of it for the purposes of stochastic analysis or infinite dimensional differential topology. In the latter category the domain manifold has usually been an interval or a circle. In these notes we will survey one particular topic in the analysis of a natural second order elliptic operatorLover such an infinite dimensional manifold.

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  1. Department of Mathematics, Cornell University, Ithaca, NY

    L. Gross

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  1. L. Gross
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  1. Département Réseaux, Ecole Nationale Supérieure des Télécommunications, Paris Cedex 13, 75634, France

    Laurent Decreusefond  & Ali Süleyman Üstünel  & 

  2. Department of Mathematics, University of Oslo, N-0316, Oslo, Norway

    Bernt K. Øksendal

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Gross, L. (2001). Heat Kernel Analysis on Lie Groups. In: Decreusefond, L., Øksendal, B.K., Üstünel, A.S. (eds) Stochastic Analysis and Related Topics VII. Progress in Probability, vol 48. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0157-1_1

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