Extremum problems for entire functions of exponential spherical type
Matematičeskie zametki, Tome 68 (2000) no. 2, pp. 179-187.

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D. V. Gorbachev. Extremum problems for entire functions of exponential spherical type. Matematičeskie zametki, Tome 68 (2000) no. 2, pp. 179-187. http://geodesic.mathdoc.fr/item/MZM_2000_68_2_a2/

[1] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977

[2] Stein I., Veis G., Vvedenie v garmonicheskii analiz na evklidovykh prostranstvakh, Mir, M., 1974 | Zbl

[3] Logan B. F., “Extremal problems for positive-definite bandlimited functions. II: Eventually negative functions”, SIAM J. Math. Anal., 14:2 (1983), 253–257 | DOI | MR | Zbl

[4] Chernykh N. I., “O neravenstve Dzheksona v $L_2$”, Tr. MIAN, 88, Nauka, M., 1967, 71–74 | MR

[5] Chernykh N. I., Arestov V. V., “On the $L_2$-approximation of periodic functions by trigonometric polynomials”, Approximation and Functions Spaces, Proc. Inter. Conf. (Gdansk, 1979), North–Holland, Amsterdam, 1981, 25–43 | MR

[6] Moskovskii A. V., “Teoremy Dzheksona v prostranstvakh $L_p(\mathbb R^n)$ i $L_{p,\lambda }(\mathbb R_+)$”, Izv. \hbox {TulGU}. Ser. matem., mekh., informatika, 3:1 (1997), 44–70 | MR

[7] Berdysheva E. E., “Dve vzaimosvyazannye ekstremalnye zadachi dlya tselykh funktsii mnogikh peremennykh”, Matem. zametki, 66:3 (1999), 336–350 | MR | Zbl

[8] Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii, T. 2, Nauka, M., 1966

[9] Babenko A. G., “Tochnoe neravenstvo Dzheksona–Stechkina v prostranstve $L^2(\mathbb R^m)$”, Tr. IMM UrO RAN, 5, 1998, 183–198

[10] Yudin V. A., “Raspolozhenie tochek na tore i ekstremalnye svoistva polinomov”, Tr. MIAN, 219, Nauka, M., 1997, 453–463 | MR | Zbl

[11] Logan B. F., “Extremal problems for positive-definite bandlimited functions. I: Eventually positive functions with zero integral functions”, SIAM J. Math. Anal., 14:2 (1983), 253–257 | DOI | MR | Zbl

[12] Grorev G. R., Rahman Q. I., “A quadrature formulae with zeros of Bessel functions as nodes”, Math. Comput., 64 (1995), 715–725 | DOI | MR

[13] Chanem R. B., “Explicit quadrature formulae for entire functions of exponential type”, J. Approximation Theory, 92 (1998), 267–279 | DOI | MR

[14] Markushevich A. I., Teoriya analiticheskikh funktsii, T. 2, Nauka, M., 1968

[15] Yudin V. A., “Mnogomernaya teorema Dzheksona v $L_2$”, Matem. zametki, 29:2 (1981), 309–315 | MR | Zbl

[16] Yudin V. A., “Kod i dizain”, Diskretnaya matem., 9:2 (1997), 3–11 | MR | Zbl

[17] Ivanov V. I., “O priblizhenii funktsii v prostranstvakh $L_p$”, Matem. zametki, 56:2 (1994), 15–40 | MR | Zbl