This article is cited in 3 papers

Generalized Method of Stationary Phase for the Fourier Transform of a Rapidly Oscillating Function

V. V. Grushin

National Research University "Higher School of Economics" (HSE), Moscow

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.

Keywords: asymptotics, Fourier transform, rapidly oscillating function, method of stationary phase.

UDC: 517.9

Received: 27.10.2016
Revised: 06.02.2017

DOI: 10.4213/mzm11441

 English version: Mathematical Notes, 2017, 102:6, 746–755

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