Wiener path integrals and the fundamental solution for the Heisenberg Laplacian

DOI10.1007/BF02788796zbMath1063.35062MaRDI QIDQ1880939

Wolfgang Staubach

Publication date: 27 September 2004

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

zbMATH Keywords

Heisenberg LaplacianHeisenberg heat equationWiener path integral

Mathematics Subject Classification ID

Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Subelliptic equations (35H20)

Related Items (4)

The subelliptic heat kernel on the CR sphere ⋮ The heat kernel on H-type groups ⋮ A note on the heat kernel for the rescaled harmonic oscillator from two step nilpotent Lie groups ⋮ A HAMILTONIAN APPROACH TO THE HEAT KERNEL OF A SUBLAPLACIAN ON S²ⁿ⁺¹

Cites Work

• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. I
• Wave kernels related to second-order operators.
• Schrödinger operators with singular potentials
• On the Product of Semi-Groups of Operators
• On a Geometric Formula for the Fundamental Solution of Subelliptic Laplacians
• A fundamental solution for a subelliptic operator
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