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Certain properties of generalized integration operators in an analytic space

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Literature Cited

  1. G. Köthe, Dualität in der Funktionentheorie [Duality in the Theory of Functions], J. reine angew. Math.,191, 29–49 (1953).

    Google Scholar 

  2. K. M. Fishman, The Problem of Linear Transformations of Analytic Spaces, Doklady Ak. nauk SSSR,127, No. 1, 40–43 (1959).

    Google Scholar 

  3. M. G. Khaplanov, Linear Transformations of Analytic spaces, Doklady Ak. nauk SSSR,80, No. 1, 21–24 (1951).

    Google Scholar 

  4. A. O. Gel'fond and A. F. Leont'ev, A Generalization of the Fourier Series, Matem. sb.,29, No. 3, 477–500 (1951).

    Google Scholar 

  5. A. I. Markushevich, Theory of Analytic Functions [in Russian] (Gostekhizdat, Moscow-Leningrad, 1950).

    Google Scholar 

  6. N. Dunford and J. T. Schwartz, Linear Operators, Interscience, N. Y. (1963).

    Google Scholar 

  7. A. I. Markushevich, Bases in a Space of Analytic Functions, Matem. sb.,17, No. 2, 211–252 (1945).

    Google Scholar 

  8. M. G. Khaplanov, Matrix Characteristic of a Basis in Analytic Function Space, Doklady Ak. nauk SSSR,80, No. 2, 177–180 (1951).

    Google Scholar 

  9. M. M. Dragilev, Canonical Form of the Basis of an Analytic Function Space, Uspekhi matem. nauk,15, No. 2, 181–188 (1960).

    Google Scholar 

  10. Yu. A. Kaz'min, Goncharov Polynomials and Aspects of the Representation of an Analytic Function by a Series in the Inverse Images of Some Function, Vest. Mosk. gos. univ., Matem. mekh., No. 6, 9–19 (1962).

    Google Scholar 

  11. G. K. Kalizch, On Similarity, Reducing Manifolds, and Unitary Equivalence of Certain Volterra Operators, Ann. of Math.,66, No. 3, 481–494 (1957).

    Google Scholar 

  12. M. S. Brodskii, On a Problem of I. M. Gel'fand, Uspekhi matem. nauk,12, No. 2, 129–132 (1957).

    Google Scholar 

  13. D. A. Raikov, Completely Continuous Spectra of Locally Convex Spaces, Trudy Mosk. matem. obshch.,7, 413–438 (1958).

    Google Scholar 

  14. K. M. Fishman, Problem of the Equivalence of Differential Operators in an Analytic Function Space in a Circle, Uspekhi matem. nauk,19, No. 5, 143–147 (1964).

    Google Scholar 

  15. Yu. F. Korobeinik, Infinite-Order Equations in Generalized Derivatives, Sib. matem. zh.,5, No. 6, 1259–1281 (1964).

    Google Scholar 

  16. Yu. F. Korobeinik, Generalized Differentiation Operators Applicable to any Analytic Function, Izv. Ak. nauk SSSR, seriya matem.,28, No. 4, 833–854 (1964).

    Google Scholar 

  17. N. N. Suprun, Reconstruction of an Analytic Function from the Values of its Gel'fond Generalized Derivatives at a Point, Doklady Ak. nauk SSSR,157, No. 4, 806–809 (1964).

    Google Scholar 

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Nagnibida, N.I. Certain properties of generalized integration operators in an analytic space. Sib Math J 7, 1026–1034 (1966). https://doi.org/10.1007/BF00966399

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