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Conditional Feynman integrals involving indefinite quadratic form. (English) Zbl 0822.28006
The existence of the conditional analytical Feynman integral is established for a class of functionals larger than the Fresnel class. As an application, the fundamental solution to the Schrödinger equation for the anharmonic oscillator is represented as a conditional Feynman integral.

MSC:
28C20 Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
81S40 Path integrals in quantum mechanics
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