On a~determination of entire functions of exponential type on homogeneous manifolds
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2001), pp. 60-68.

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S. S. Platonov. On a~determination of entire functions of exponential type on homogeneous manifolds. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 2 (2001), pp. 60-68. http://geodesic.mathdoc.fr/item/IVM_2001_2_a6/

[1] Volf Dzh., Prostranstva postoyannoi krivizny, Nauka, M., 1982, 480 pp. | MR

[2] Tikhomirov V. M., “Teoriya priblizhenii”, Itogi nauki i tekhn. Sovremen. probl. matem., 14, VINITI, M., 1987, 103–260 | MR

[3] Ragozin D. L., “Polinomial approximation on compact manifolds and homogeneous spaces”, Trans. Amer. Math. Soc., 150 (1971), 41–53 | DOI | MR

[4] Nikolskii S. M., Lizorkin P. I., “Approksimatsiya funktsii na sfere”, Izv. AN SSSR. Ser. matem., 51:3 (1987), 635–651

[5] Lizorkin P. I., “Pryamye i obratnye teoremy teorii priblizhenii dlya funktsii na prostranstve Lobachevskogo”, Tr. matem. in-ta RAN, 194, 1992, 120–147 | Zbl

[6] Lizorkin P. I., “Approksimatsiya na rimanovom mnogoobrazii”, Tr. matem. in-ta AN SSSR, 200, 1991, 222–235 | MR | Zbl

[7] Khelgason S., Differentsialnaya geometriya i simmetricheskie prostranstva, Mir, M., 1964, 532 pp.

[8] Khelgason S., Gruppy i geometricheskii analiz, Mir, M., 1987, 736 pp. | MR

[9] Terekhin A. P., “Ogranichennaya gruppa operatorov i nailuchshee priblizhenie”, Differents. uravneniya i vychisl. matem., 2, Izd-vo Saratovsk. un-ta, Saratov, 1975, 3–28

[10] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977, 455 pp. | MR

[11] Uorner F., Osnovy teorii gladkikh mnogoobrazii i grupp Li, Mir, M., 1987, 302 pp. | MR

[12] Zhelobenko D. P., Shtern A. I., Predstavleniya grupp Li, Nauka, M., 1983, 360 pp. | MR

[13] Besse A., Mnogoobraziya s zamknutymi geodezicheskimi, Mir, M., 1981, 326 pp. | MR

[14] Platonov S. S., “Priblizheniya funktsii na kompaktnykh simmetricheskikh prostranstvakh ranga 1”, Matem. sb., 188:5 (1997), 113–130 | MR | Zbl