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The Feynman-Kac formula and the Hamilton-Jacobi equation

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Publication:1124395
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DOI10.1016/0022-247X(89)90165-0zbMath0678.70016MaRDI QIDQ1124395

Henryk Gzyl

Publication date: 1989

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)


zbMATH Keywords

Hamilton-Jacobi equationsemigroup of operatorsFeynman-Kac formulanonunitary representations of canonical transformations


Mathematics Subject Classification ID

Hamilton-Jacobi equations in mechanics (70H20) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)


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The Girsanov Theorem Without (So Much) Stochastic Analysis



Cites Work

  • Lectures on diffusion problems and partial differential equations. Notes by Pl. Muthuramalingam, Tara R. Nanda
  • Semigroup-theoretic proofs of the central limit theorem and other theorems of analysis
  • A signed measure on path space related to Wiener measure
  • Special functions, probability semigroups, and Hamiltonian flows
  • L'intégrale de Riemann-Liouville et le problème de Cauchy
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