Equivalence of Two Definitions of a Chronological Integral / Plyashechnik A.S. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2010. № 6. P. 3-9 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 223-228].

A chronological integral is a generalization of the path integral when the values of the measure or integrated function do not commute with each other. Two definitions of a chronological integral over the space of functions with a real argument are formulated. Measures and integrated functions have not commuting matrix values. Sufficient conditions for the equivalence of these definitions are proved.

Key words: functional integral, chronological integral.