The method of stationary phase for oscillatory integrals on Hilbert spaces. (English) Zbl 0581.28009
We develop the method of stationary phase for the normalized-oscillatory integral on Hilbert space, giving Borel summable expansions. The developments that we obtain hold for more general situations than the ones of previous papers on the same subject.
MSC:
| 28C20 | Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) |
| 81S40 | Path integrals in quantum mechanics |
Keywords:
Feynman path integral; Fresnel integral; stationary phase; normalized- oscillatory integral on Hilbert spaceReferences:
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