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Conditions for a system of analytic functions to form a basis

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Literature cited

  1. M. G. Khaplanov, “A matrix criterion for a basis in the space of analytic functions,” Dokl. Akad. NaukSSSR,80, No. 2, 177–180 (1951).

    Google Scholar 

  2. M. G. Khaplanov, “The completeness of certain systems of analytic functions,” Rostov. Gos. Fed. Inst. Uch. Zap., No. 3, 53–58 (1955).

    Google Scholar 

  3. 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).

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  4. N. I. Nagnibida, “On a basis for the space of functions analytic in a disk, ” Sibirsk. Matem. Zh.,11, No. 2 (1970).

  5. M. G. Khaplanov, “Linear transformations of analytic spaces,” Dokl. Akad. Nauk SSSR,80, No. 1, 21–24 (1951).

    Google Scholar 

  6. K. M. Fishman, “On the problem of linear transformations of analytic spaces,” Dokl. Akad. Nauk SSSR,127, No. 1, 40–43 (1959).

    Google Scholar 

  7. I. I. Ibragimov, “On the completeness of certain systems of analytic functions,” Izv. Akad. Nauk SSSR, Ser. Matem., No. 5–6 (1939).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 24, No. 6, pp. 820–823, November–December, 1972.

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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

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