Geodesic
Equivalence of two definitions of a chronological integral
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2010), pp. 3-9

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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 real argument are formulated. Measures and integrated functions have not commuting matrix values. Sufficient conditions for the equivalence of these definitions are proved. 
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A. S. Plyashechnik. Equivalence of two definitions of a chronological integral. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 6 (2010), pp. 3-9. http://geodesic.mathdoc.fr/item/VMUMM_2010_6_a0/