Geodesic
Fragments of the research biography of D. A. Raikov: harmonic analysis
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 61 (2006) no. 5, pp. 955-969 Cet article a éte moissonné depuis la source Math-Net.Ru

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This paper is a presentation of basic biographical information about D. A. Raikov, his research interests, publications, and closest students. A clear description is given of his achievements in abstract harmonic analysis and of some directions of their subsequent development. 
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E. A. Gorin. Fragments of the research biography of D. A. Raikov: harmonic analysis. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 61 (2006) no. 5, pp. 955-969. http://geodesic.mathdoc.fr/item/RM_2006_61_5_a2/

[1] Matematika v SSSR za sorok let: 1917–1957, t. I, II, Fizmatgiz, M., L., 1959 | MR | Zbl

[2] Yubileinyi sbornik k 70-letiyu kafedry matematicheskogo analiza MPGU, MPGU, M., 2004

[3] Matematika v SSSR za tridtsat let: 1917–1947, Gostekhizdat, M., L., 1948 | MR

[4] Matematika v SSSR 1958–1967, t. II, vyp. 2, Nauka, M., L., 1970 | MR

[5] Yu. V. Linnik, I. V. Ostrovskii, Razlozhenie sluchainykh velichin i vektorov, Nauka, M., 1972 | MR | Zbl

[6] L. Z. Livshits, I. V. Ostrovskii, G. P. Chistyakov, “Arifmetika veroyatnostnykh zakonov”, Itogi nauki i tekhniki. Teoriya veroyatn. Matem. statist. Teoret. kibernet., 12, VINITI, M., 1975, 5–42 | MR | Zbl

[7] E. Lukacs, Characteristic functions, Griffin, London, 1970 | MR | MR | Zbl | Zbl

[8] G. M. Feldman, Arifmetika veroyatnostnykh raspredelenii i kharakterizatsionnye zadachi na abelevykh gruppakh, Naukova dumka, Kiev, 1990 | MR | Zbl

[9] J. Korevaar, “A century of complex Tauberian theory”, Bull. Amer. Math. Soc. (N.S.), 39:4 (2002), 475–531 | DOI | MR | Zbl

[10] Yu. A. Brudnyi, “O lokalnom nailuchshem priblizhenii funktsii mnogochlenami”, Dokl. AN SSSR, 161:4 (1965), 746–749 | MR | Zbl

[11] Abstract harmonic analysis. V. II: Structure and analysis for compact groups. Analysis on locally compact Abelian groups, Grundlehren Math. Wiss., 152, Springer-Verlag, New York, 1970 | MR | MR | Zbl

[12] E. A. Gorin, “Universal symbols on locally compact abelian groups”, Bull. Polish Acad. Sci. Math., 51:2 (2003), 199–204 | MR | Zbl

[13] I. M. Gelfand, D. A. Raikov, G. E. Shilov, Kommutativnye normirovannye koltsa, Fizmatgiz, M., 1960 | MR | Zbl

[14] J. L. Taylor, “The cohomology of the spectrum of a measure algebra”, Acta Math., 126:1 (1971), 195–225 | DOI | MR | Zbl

[15] M. A. Naimark, Normirovannye koltsa, Nauka, M., 1968 | MR | Zbl

[16] A. A. Kirillov, Elementy teorii predstavlenii, Nauka, M., 1978 | MR

[17] F. F. Bonsall, J. Duncan, Complete normed algebras, Ergeb. Math. Grenzgeb., 80, Springer-Verlag, New York, 1973 | MR | Zbl

[18] W. Kaup, “A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces”, Math. Z., 183:4 (1983), 503–529 | DOI | MR | Zbl

[19] N. I. Akhiezer, Izbrannye trudy po teorii funktsii i matematicheskoi fizike, t. I, II, AKTA, Kharkov, 2001 | Zbl

[20] B. Ya. Levin, Lectures on entire functions, Transl. Math. Monogr., 150, Amer. Math. Soc., Providence, RI, 1996 | MR | Zbl

[21] E. A. Gorin, “Bernstein's inequality from the point of view of operator theory”, Selecta Math. Sov., 7:3 (1988), 191–219 | MR | Zbl | Zbl

[22] B. Sz.-Nagy, C. Foiaş, Analyse harmonique des opérateurs de l'espace de Hilbert, Masson, Paris, 1967 | MR | MR | Zbl | Zbl