The kernel of an evolution operator in the space of sections of a vector bundle as an integral over trajectories

DOI10.1007/BF01077642zbMath0679.58012OpenAlexW2084138694MaRDI QIDQ1822807

Oleg K. Sheinman

Publication date: 1988

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077642

zbMATH Keywords

evolution equationskernel of an evolution operatorobviously computable functional integrals

Mathematics Subject Classification ID

Integration on manifolds; measures on manifolds (58C35) Partial differential equations on manifolds; differential operators (58J99) Equations in function spaces; evolution equations (58D25)

Cites Work

• The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem
• Index theorem and equivariant cohomology on the loop space
• Inverse problem for periodic finite-zoned potentials in the theory of scattering
• On Macdonald's \(\eta\)-function formula, the Laplacian and generalized exponents

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