References
S. Albeverio, O. G. Smolyanov, and E. T. Shavgulidze, Dokl. Ross. Akad. Nauk 361(6), 727 (1998) [Dokl. Math. 58 (1), 114 (1998)]
Ya. A. Butko, Mat. Zametki 83(3), 333 (2008) [Math. Notes 83 (3), 301 (2008)].
A. Yu. Neklyudov, Mat. Zametki 83(4), 581 (2008) [Math. Notes 83 (4), 530 (2008)].
O. G. Smolyanov, A. G. Tokarev, and A. Truman, J. Math. Phys. 43(10), 5161 (2002).
O. G. Smolyanov and E. T. Shavgulidze, Path Integrals (Izd. Moskovsk. Univ., Moscow, 1990) [in Russian].
O. G. Smolyanov and E. T. Shavgulidze, Dokl. Ross. Akad. Nauk 390(3), 321 (2003) [Dokl. Math. 67 (3), 369 (2003)].
O. G. Smolyanov and E. T. Shavgulidze, Dokl. Ross. Akad. Nauk 408(1), 28 (2006) [Dokl. Math. 73 (3), 334 (2006)].
N. N. Shamarov, Mat. Zametki 75(2), 311 (2004) [Math. Notes 75 (2), 284 (2004)].
Yu. L. Daletskii and S. V. Fomin, Measures and Differential Equations in Infinite-Dimensional Spaces (Nauka, Moscow, 1983) [in Russian].
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Original Russian Text © A. K. Kravtseva, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 5, pp. 788–791.
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Kravtseva, A.K. Infinite-dimensional Schrödinger equations with polynomial potentials and representation of their solutions via Feynman integrals. Math Notes 94, 824–828 (2013). https://doi.org/10.1134/S0001434613110175
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DOI: https://doi.org/10.1134/S0001434613110175