Representation of regularized traces of operators by functional integrals
From the introduction: In this paper, we obtain representations for the regularized traces [\textit{V. A. Sadovnichii}, Operator theory (Теория операторов. Учебное пособие). Moskva: Izdatel'stvo Moskovskogo Universiteta (1979; Zbl 0517.47001)] of simplest second order differential operators by using functional integrals and give examples of applications of these representations to obtain formulas not containing functional integrals. Possible approximations of these infinite-dimensional integrals by finite dimensional ones, i.e., analogues of Feynman formulas, are also discussed. The exposition is of formal character at some places, and some analytical assumptions are omitted.
scientific article; zbMATH DE number 6124969