Geodesic
Asymptotic behavior of Fourier transforms
Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 3, pp. 301-309 
Yu. A. Brychkov; Yu. M. Shirokov. Asymptotic behavior of Fourier transforms. Teoretičeskaâ i matematičeskaâ fizika, Tome 4 (1970) no. 3, pp. 301-309. http://geodesic.mathdoc.fr/item/TMF_1970_4_3_a2/
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1970_4_3_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The concept of asymptotic behavior is introduced for generalized functions (distributions). An exposition is given of the mathematical formalism of a new approach to the investigation of the analytic properties of matrix elements in quantum field theory. This new approach is based on the connection between the singularities of a generalized function and the behavior at infinity of its Fourier transform.

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