no. 3
A tauberian theorem in quantum mechanical inverse scattering theory
Annales de l'I.H.P. Physique théorique, Tome 33 (1980) no. 3, pp. 283-300. 
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     author = {Brander, O. and Chadan, K.},
     title = {A tauberian theorem in quantum mechanical inverse scattering theory},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {283--300},
     publisher = {Gauthier-Villars},
     volume = {33},
     number = {3},
     year = {1980},
     zbl = {0461.35067},
     mrnumber = {601841},
     language = {en},
     url = {http://www.numdam.org/item/AIHPA_1980__33_3_283_0/}
}
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Brander, O.; Chadan, K. A tauberian theorem in quantum mechanical inverse scattering theory. Annales de l'I.H.P. Physique théorique, Tome 33 (1980) no. 3, pp. 283-300. http://www.numdam.org/item/AIHPA_1980__33_3_283_0/

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[7] K. Chadan, P.C. Sabatier, The Inverse Problems in Quantum Scattering Theory. Springer, Heidelberg, 1977. | MR 522847 | Zbl 0363.47006

[8] Z.S. Agranovich, V.A. Marchenko, The Inverse Problem of Scattering Theory. English translation, Gordon and Breach, New York, 1963. | MR 162497 | Zbl 0117.06003

[9] M.G. Krein, Uspekhi Mat. Nauk, N. S., t. 13, 1958, p. 3 ; Am. Math. Soc. Transl., t. 22, 2, 1962, p. 163. | MR 102720 | Zbl 0119.09601

[10] R. Paley, N. Wiener, Fourier Transforms in the Complex Domain. Am. Math. Soc. Providence, 1934, p. 63 ; for a proof see ref. 11. | JFM 60.0345.02 | MR 1451142 | Zbl 0011.01601

[11] N.I. Akhiezer, Lectures on the Theory of Approximation. English translation, Ungar, New York, 1956, chapter VI.