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Contemporary Mathematics. Fundamental Directions, 2022, Volume 68, Issue 3, Pages 393–406
DOI: https://doi.org/10.22363/2413-3639-2022-68-3-393-406 (Mi cmfd465) 		 
On spaces of vector functions that are holomorphic in an angular domain

V. V. Vlasov, N. A. Rautian

Lomonosov Moscow State University, Moscow, Russia
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DOI: https://doi.org/10.22363/2413-3639-2022-68-3-393-406
Abstract: 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.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00288 A
Bibliographic databases:
Document Type: Article
UDC: 517.968.72
Language: Russian
Citation: V. V. Vlasov, N. A. Rautian, “On spaces of vector functions that are holomorphic in an angular domain”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 68, no. 3, PFUR, M., 2022, 393–406
Citation in format AMSBIB
\Bibitem{VlaRau22}
\by V.~V.~Vlasov, N.~A.~Rautian
\paper On spaces of vector functions that are holomorphic in an angular domain
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2022
\vol 68
\issue 3
\pages 393--406
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd465}
\crossref{https://doi.org/10.22363/2413-3639-2022-68-3-393-406}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4497482}
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