Literature cited
M. G. Khaplanov, “A matrix criterion for a basis in the space of analytic functions,” Dokl. Akad. NaukSSSR,80, No. 2, 177–180 (1951).
M. G. Khaplanov, “The completeness of certain systems of analytic functions,” Rostov. Gos. Fed. Inst. Uch. Zap., No. 3, 53–58 (1955).
K. M. Fishman and G. M. Sas'ko, “On certain systems of functions which form quasipower bases in spaces of functions analytic in a disk,” Dokl. Akad. Nauk SSSR,146, No. 2, 314–317 (1962).
N. I. Nagnibida, “On a basis for the space of functions analytic in a disk, ” Sibirsk. Matem. Zh.,11, No. 2 (1970).
M. G. Khaplanov, “Linear transformations of analytic spaces,” Dokl. Akad. Nauk SSSR,80, No. 1, 21–24 (1951).
K. M. Fishman, “On the problem of linear transformations of analytic spaces,” Dokl. Akad. Nauk SSSR,127, No. 1, 40–43 (1959).
I. I. Ibragimov, “On the completeness of certain systems of analytic functions,” Izv. Akad. Nauk SSSR, Ser. Matem., No. 5–6 (1939).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 24, No. 6, pp. 820–823, November–December, 1972.
Rights and permissions
About this article
Cite this article
Gorgula, V.I., Nagnibida, N.I. Conditions for a system of analytic functions to form a basis. Ukr Math J 24, 658–660 (1972). https://doi.org/10.1007/BF01085417
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01085417