Geodesic
On the relationship between functional integrals and differential equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 2, pp. 182-189

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The Green's function of a pseudo-differential equation of parabolic type is represented as a functional integral . The dependence of the integral on the method of finite-dimensional interpolation of the paths $p(\tau)$ and $q(\tau)$ is investigated. 
@article{TMF_1972_11_2_a4,
     author = {A. L. Alimov},
     title = {On the relationship between functional integrals and differential equations},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {182--189},
     publisher = {mathdoc},
     volume = {11},
     number = {2},
     year = {1972},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1972_11_2_a4/}
}
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A. L. Alimov. On the relationship between functional integrals and differential equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 11 (1972) no. 2, pp. 182-189. http://geodesic.mathdoc.fr/item/TMF_1972_11_2_a4/