Geodesic
Analogues of Tauberian theorems for the Laplace transform
Izvestiya. Mathematics, Tome 66 (2002) no. 6, pp. 1219-1242 
A. Yu. Popov; Yu. S. Chainikov. Analogues of Tauberian theorems for the Laplace transform. Izvestiya. Mathematics, Tome 66 (2002) no. 6, pp. 1219-1242. http://geodesic.mathdoc.fr/item/IM2_2002_66_6_a5/
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     title = {Analogues of {Tauberian} theorems for the {Laplace} transform},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We present various strengthened versions of the Tauberian theorem for the Laplace transform proved by S. V. Konyagin and A. Yu. Popov in 1995.

[1] Stechkin S. B., “O ryade Fareya”, Matem. zametki, 61:1 (1997), 91–113 | MR | Zbl

[2] Postnikov A. G., Vvedenie v analiticheskuyu teoriyu chisel, Nauka, M., 1971 | MR

[3] Konyagin S. V., Popov A. Yu., “O skorosti raskhodimosti nekotorykh integralov”, Matem. zametki, 58:2 (1995), 243–255 | MR | Zbl

[4] Titchmarsh E. K., Teoriya dzeta-funktsii Rimana, IL, M., 1953

[5] Leontev A. F., “Ob interpolyatsii v klasse tselykh funktsii konechnogo poryadka normalnogo tipa”, DAN SSSR, 66:2 (1949), 153–156 | MR | Zbl

[6] Leontev A. F., Ryady eksponent, Nauka, M., 1976 | MR

[7] Markushevich A. I., Dopolnitelnye glavy teorii analiticheskikh funktsii, Nauka, M., 1976 | MR | Zbl

[8] Biberbakh L., Analiticheskoe prodolzhenie, Nauka, M., 1967 | MR

[9] Popov A. Yu., “Ekstremalnye zadachi v teorii analiticheskogo prodolzheniya”, Matem. sb., 190:5 (1999), 113–138 | MR | Zbl