The Feynman path integral as an improper integral over the Sobolev space
Journées équations aux dérivées partielles (1990), article no. 14, 15 p. 
Daisuke Fujiwara. The Feynman path integral as an improper integral over the Sobolev space. Journées équations aux dérivées partielles (1990), article  no. 14, 15 p.. doi: 10.5802/jedp.396
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     title = {The {Feynman} path integral as an improper integral over the {Sobolev} space},
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     publisher = {\'Ecole polytechnique},
     doi = {10.5802/jedp.396},
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     url = {https://proceedings.centre-mersenne.org/articles/10.5802/jedp.396/}
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[1] Albeverio, S.-H. Krohn. R. J., Mathematical theory of Feynman path integral, Lecture notes of Math., 523, Springer, Berlin, (1976). | MR | Zbl

[2] Feynman, R.P., Space time approach to non relativistic quantum mechanics, Rev. of Modern Phys. 20 (1948), 367-387. | MR

[3] Fujiwara, D., Remarks on convergence of some Feynman path integrals, Duke Math. J. 47 (1980) 559-600. | MR | Zbl

[4] Itô, K., Generalized uniform complex measure in Hilbert space and its application to the Feynman path integrals, Proc. 5th Berkeley symposium on Math. Statistics and Probability, vol. 2, part 1, 145-161, Univ. California press, Berkeley. (1967). | MR

[5] Pauli, W., (edited by Enz, C.P.,), Pauli Lectures on Physics, vol. 6 Selected topics in field quantization. MIT press (1973).

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