Geodesic
Recovery of a function from its coefficients in a Dirichlet series
Izvestiya. Mathematics, Tome 5 (1971) no. 1, pp. 131-159 Cet article a éte moissonné depuis la source Math-Net.Ru

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A Dirichlet series is associated, through formulas giving its coefficients, with a function analytic in a closed bounded convex domain. It is shown how to recover the function from the coefficients of the associated Dirichlet series. 
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A. F. Leont'ev. Recovery of a function from its coefficients in a Dirichlet series. Izvestiya. Mathematics, Tome 5 (1971) no. 1, pp. 131-159. http://geodesic.mathdoc.fr/item/IM2_1971_5_1_a8/

[1] Leontev A. F., “Ob odnom svoistve edinstvennosti”, Matem. sb., 72(114) (1967), 237–250 | MR

[2] Leontev A. F., “Ob asimptotike koeffitsientov razlozheniya proizvolnykh funktsii v ryady Dirikhle”, Dokl. nauchno-tekhn. konferentsii, sektsiya matem., Mosk. energetich. in-t, 1967, 3–11 | MR

[3] Leontev A. F., “O predstavlenii proizvolnykh funktsii ryadami Dirikhle”, Dokl. AN SSSR, 164:1 (1965), 40–42 | MR

[4] Leontev A. F., “O summirovanii ryada Dirikhle s deistvitelnymi pokazatelyami dlya proizvolnoi analiticheskoi funktsii”, Izv. AN SSSR. Ser. matem., 31:1 (1967), 87–102 | MR | Zbl

[5] Bernstein V., Lecons sur les progres recents de la theorie series de Dirichlet, Paris, 1933

[6] Boas R. P., Ir., Entire functions, New York, 1954 | MR

[7] Mandeltbroit S., Kvazianaliticheskie klassy funktsii, M., L., 1937

[8] Cartwright M. L., “On integral functions of integral order”, Proc. London Math. Soc.(2), 33 (1932), 209–224 | DOI