The asymptotic behavior of Fourier integrals of the form
where the parameter tends to a critical point , is considered. It is provided that has at a stationary point of (fractional) order , and the Fourier transform of the function is given in closed form. Under certain conditions it is demonstrated that it’s possible to obtain an asymptotical expansion of this integral by the Fourier transform of the function .
Cite this article
Roland Riedel, Asymptotische Darstellung verallgemeinerter Fourierintegrale IV. Z. Anal. Anwend. 1 (1982), no. 1, pp. 75–82DOI 10.4171/ZAA/7