Geodesic
On spaces of vector functions that are holomorphic in an angular domain
Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 68 (2022) no. 3, pp. 393-406
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In this paper, we study spaces of vector functions that are holomorphic in the angular domain of the complex plane and with values in a separable Hilbert space. We show that, equipped with the appropriate norms, these spaces are Hilbert spaces. 
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V. V. Vlasov; N. A. Rautian. On spaces of vector functions that are holomorphic in an angular domain. Contemporary Mathematics. Fundamental Directions, Proceedings of the Crimean autumn mathematical school-symposium, Tome 68 (2022) no. 3, pp. 393-406. http://geodesic.mathdoc.fr/item/CMFD_2022_68_3_a0/

[1] Vlasov V. V., O nekotorykh prostranstvakh vektor-funktsii, golomorfnykh v ugle, No 4177-81, VINITI, 1981

[2] Vlasov V. V., “Kratnaya minimalnost chasti sistemy kornevykh vektorov puchka M. V. Keldysha”, Dokl. AN SSSR, 263:6 (1982), 1289–1293 | MR

[3] Grigoryan Sh. A., “O bazisnosti nepolnykh sistem ratsionalnykh funktsii v uglovykh oblastyakh”, Izv. AN ArmSSR. Mat., 13:5-6 (1978), 461–489

[4] Dzhrbashyan M. M., Integralnye preobrazovaniya i predstavlenie funktsii v kompleksnoi oblasti, Nauka, M., 1966 | MR

[5] Dzhrbashyan M. M., Martirosyan V. M., “Teoremy Vinera—Peli i Myuntsa—Sasa”, Izv. AN SSSR, 41:4 (1977), 868–894 | MR | Zbl

[6] Lions Zh. L., Madzhenes E., Neodnorodnye granichnye zadachi i ikh prilozheniya, Mir, M., 1971

[7] Khille E., Filips R., Funktsionalnyi analiz i polugruppy, Inostrannaya literatura, M., 1962 | MR