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Holomorphic fiberings and multivalued functions of elements of a Banach algebra

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Literature Cited

  1. E. A. Gorin, Some Questions in the Theory of Commutative Banach Algebras and Harmonic Analysis [in Russian], Dissertation, Moscow State University (1970).

  2. R. Gunning and H. Rossi, Analytic Functions of Several Complex Variables, Prentice-Hall (1965).

  3. E. A. Gorin and V. Ya. Lin, "Algebraic equations with continuous coefficients and some questions on the algebraic theory of braids," Matem. Sb.,78, 579–610 (1969).

    Google Scholar 

  4. H. Steenrod and S. Eilenberg, Foundations of Algebraic Topology, Princeton Univ. Press (1952).

  5. N. Steenrod, Topology of Fiber bundles, Princeton Univ. Press (1951).

  6. Yu. S. Il'yashenko, "Multivalued analytic functions of elements of a commutative normed ring," Vestnik MGU, No. 5, 8–11 (1969).

    Google Scholar 

  7. K. J. Ramspott, "Stetige und holomorphe Schnitte in Bündeln mit homogener Faser," Math. Z.,89, No. 3, 234–246 (1965).

    Google Scholar 

  8. H. Grauert, "Analytische Faserugen über holomorphvollständigen Räumen, Math. Ann.,135, 263–273 (1958).

    Google Scholar 

  9. V. Ya. Lin, "Algebroid functions and holomorphic elements of the homotopy groups of a complex manifold," Dokl. Akad. Nauk SSSR,201, No. 1, 28–31 (1971).

    Google Scholar 

  10. H. Cartan, "Sur les matrices holomorphes de n variables complexes," J. Math. Pures et. Appl.,19, 1–26 (1940).

    Google Scholar 

  11. M. A. Shubin, "Factorization of matrices depending on parameters, and elliptical equations in a half-plane," Matem. Sb.,85, 65–84 (1971).

    Google Scholar 

  12. M. E. Novodvorskii, "On some homotopic invariants in a maximal ideal space," Matem. Zametki,1, No. 4, 487–494 (1967).

    Google Scholar 

  13. J. Wagner, Faisceau structural associé a une algebre de Banach, Séminaire P. Lelong (analyse), ge année (1968/69).

  14. D. Husemoller, Fiber bundles [Russian translation], Mir, Moscow (1970).

    Google Scholar 

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Authors
  1. V. Ya. Lin
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Additional information

Central Economics and Mathematics Institute, Academy of Sciences USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 7, No. 2, pp. 43–51, April–June, 1973.

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Lin, V.Y. Holomorphic fiberings and multivalued functions of elements of a Banach algebra. Funct Anal Its Appl 7, 122–128 (1973). https://doi.org/10.1007/BF01078884

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