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Generalized method of stationary phase for the Fourier transform of a rapidly oscillating function

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Abstract

Asymptotic formulas are obtained for a class of integrals that are Fourier transforms of rapidly oscillating functions. These formulas contain special functions and generalize the well-known method of stationary phase.

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Authors and Affiliations

  1. National Research University Higher School of Economics, Moscow, Russia

    V. V. Grushin

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  1. V. V. Grushin
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Correspondence to V. V. Grushin.

Additional information

Original Russian Text © V. V. Grushin, 2017, published in Matematicheskie Zametki, 2017, Vol. 102, No. 6, pp. 816–827.

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Grushin, V.V. Generalized method of stationary phase for the Fourier transform of a rapidly oscillating function. Math Notes 102, 746–755 (2017). https://doi.org/10.1134/S000143461711013X

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  • DOI: https://doi.org/10.1134/S000143461711013X

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