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The method of stationary phase for oscillatory integrals on Hilbert spaces

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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.

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Communicated by H. Araki

Supported by Deutscher Akademischer Austauschdienst (DAAD)

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Rezende, J. The method of stationary phase for oscillatory integrals on Hilbert spaces. Commun.Math. Phys. 101, 187–206 (1985). https://doi.org/10.1007/BF01218758

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