Representation of Green's function for the heat equation on a compact Lie group

DOI10.1007/BF02676670zbMath0982.60069WikidataQ115391893 ScholiaQ115391893MaRDI QIDQ1585622

M. G. Smirnova

Publication date: 16 November 2000

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Ricci curvaturestochastic processpartial differential equationcompact Riemannian manifoldcompact Lie groupheat equations

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Partial differential equations on manifolds; differential operators (58J99) Stochastic analysis (60H99) Potential theory (31-XX)

Cites Work

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• Integration by parts formulas and rotationally invariant Sobolev calculus on free loop spaces
• Integration on loop groups. I: Quasi invariant measures
• Integration on loop groups. II: Heat equation for the Wiener measure
• Integration on loop groups. III: Asymptotic Peter-Weyl orthogonality
• Smooth measures on loop groups
• Feynman Integrals and the Schrödinger Equation
• Relativistic Cut-Off for Quantum Electrodynamics

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