Geodesic
Asymptotic expansions of generalized functions. II
Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 3, pp. 375-381 Cet article a éte moissonné depuis la source Math-Net.Ru

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Asymptotic expansions are obtained for certain classes of generalized functions of the form $f(x)e^{ixt}$, $t\to\pm\infty$ where $f(x)$ has an even number of pole or branch-point type singularities. Examples are given of application to the calculation of the asymptotic behavior of Fourier integrals. 
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     author = {Yu. A. Brychkov},
     title = {Asymptotic expansions of generalized {functions.~II}},
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Yu. A. Brychkov. Asymptotic expansions of generalized functions. II. Teoretičeskaâ i matematičeskaâ fizika, Tome 15 (1973) no. 3, pp. 375-381. http://geodesic.mathdoc.fr/item/TMF_1973_15_3_a9/

[1] Yu. A. Brychkov, TMF, 5 (1970), 98 | MR

[2] I. M. Gelfand, G. E. Shilov, Obobschennye funktsii i deistviya nad nimi, vyp. 1, Fizmatgiz, 1958 | MR

[3] A. Pringsheim, Vorlesungen über Zahlen- und Functionlehre, II. Abt. 2, Teubner, 1932 | MR | Zbl

[4] V. S. Vladimirov, Metody teorii funktsii mnogikh kompleksnykh peremennykh, «Nauka», 1964 | MR

[5] A. Erdeii, Asimptoticheskie razlozheniya, Fizmatgiz, 1962

[6] Yu. A. Brychkov, Matem. zametki, 12 (1972), 131 | MR | Zbl