Representations of the solution of the Cauchy-Dirichlet problem for the heat equation in a domain of a compact Riemannian manifold by functional integrals

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Function integrals corresponding to a solution of the Cauchy-Dirichlet problem for the heat equation in a domain of a Riemannian manifold ⋮ An approximation to Wiener measure and quantization of the Hamiltonian on manifolds with non-positive sectional curvature ⋮ Functional integrals for the Schrödinger equation on compact Riemannian manifolds ⋮ Feynman formulas and functional integrals for diffusion with drift in a domain on a manifold ⋮ Chernoff approximation for semigroups generated by killed Feller processes and Feynman formulae for time-fractional Fokker-Planck-Kolmogorov equations

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