The summary equation for functions holomorphic in the exterior of a triangle
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2008), pp. 19-26.

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We consider the six-element summarized equation in the class of functions which are holomorphic in the exterior of a regular triangle and vanishing at infinity. We apply the method of integral equations and the theory of elliptic functions. Using the obtained results, we construct biorthogonal systems of holomorphic functions and study the problem of moments for integer functions of a finite degree.
Keywords: summarized equation, biorthogonal systems, moments of integer functions.
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F. N. Garif'yanov. The summary equation for functions holomorphic in the exterior of a triangle. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2008), pp. 19-26. http://geodesic.mathdoc.fr/item/IVM_2008_9_a2/

[1] Napalkov V. V., Uravneniya svertki v mnogomernykh prostranstvakh, Nauka, M., 1982, 240 pp. | MR

[2] Garifyanov F. N., “Problema obrascheniya osobogo integrala i raznostnye uravneniya dlya funktsii, analiticheskikh vne kvadrata”, Izv. vuzov. Matematika, 1993, no. 7, 7–16 | MR

[3] Garifyanov F. N., “O regulyarizatsii nekotorykh raznostnykh uravnenii”, Aktualnye problemy matematicheskogo analiza, Izd-vo “GinGo”, Rostov-na-Donu, 2000, 67–72

[4] Garifyanov F. N., “O regulyarizatsii odnogo klassa raznostnykh uravnenii”, Sib. matem. zhurn., 42:5 (2001), 1012–1017 | MR

[5] Garifyanov F. N., Funktsionalnye uravneniya, svyazannye s avtomorfnymi formami, Izd-vo KGEU, Kazan, 2003, 134 pp.

[6] Zverovich E. I., “Dvukhelementnye kraevye zadachi i metod lokalno-konformnogo skleivaniya”, Sib. matem. zhurn., 14:1 (1973), 64–85 | MR | Zbl

[7] Levin B. Ya., Raspredelenie kornei tselykh funktsii, GITTL, M., 1956, 632 pp.

[8] Biberbakh L., Analiticheskoe prodolzhenie, Nauka, M., 1967, 239 pp.