Journal d’Analyse Mathématique

, Volume 91, Issue 1, pp 389–400 | Cite as

Wiener path integrals and the fundamental solution for the Heisenberg Laplacian

  • Wolfgang Staubach


In this paper, we present an explicit calculation of the heat kernel, fundamental solution and Schwartz kernel of the resolvent for the Heisenberg Laplacian using Wiener path integrals and their realizations via the Trotter product formula. This also gives another derivation of mehler’s formula.


Fundamental Solution Heat Kernel Path Integral Natural Topology Heat Semigroup 


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Copyright information

© The Hebrew University Magnes Press 2003

Authors and Affiliations

  • Wolfgang Staubach
    • 1
  1. 1.Department of MathematicsUniversity of TorontoTorontoCanada

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