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Extrapolation of functions holomorphic in a product of halfplanes or strips. Analytic continuation of the spectrum

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Literature Cited

  1. V. S. Vladimirov, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  2. V. S. Vladimirov, Generalized Functions in Mathematical Physics [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  3. E. Stein and G. Weiss, Introduction to Fourier Analysis on Euclidean Space, Princeton Univ. Press (1971).

  4. Ya. I. Khurgin and V. P. Yakovlev, Finite Functions in Physics and Technology [in Russian], Nauka, Moscow (1971).

    Google Scholar 

  5. G. N. Vasilenko, Theory of Signal Restoration [in Russian], Sov. Radio, Moscow (1979).

    Google Scholar 

  6. U. Prétt, Numerical Treatment of Mappings [Russian translation], Book 2, Mir, Moscow (1982).

    Google Scholar 

  7. D. Slepian, “Prolate spheroidal wave functions, Fourier analysis and uncertainty. Extension to many dimension; generalized prolate spheroidal functions,” Bell Syst. Techn. J.,43, No. 6, 3009–3057 (1964).

    Google Scholar 

  8. Functions with Dual Orthogonality in Radioelectronics and Optics [in Russian], Sov. Radio, Moscow (1971).

  9. J. L. Walsh, Interpolation and Approximation by Rational Functions in the Complex Domain, 3rd edn., Colloquium Publications 20, Am. Math. Soc., Providence, R. I. (1960).

    Google Scholar 

  10. T. Carleman, Les Fonctions Quasi-Analytiques, Gauthier-Villars, Paris (1926).

    Google Scholar 

  11. G. M. Goluzin and V. I. Krylov, “A generalized formula of Carleman and its application to analytic continuation of functions,” Mat. Sb.,40, No. 2, 144–149 (1933).

    Google Scholar 

  12. N. V. Videnskii, E. M. Gavurina, and V. P. Khavin, “Analogs of the Carleman-Goluzin-Krylov interpolation formulas,” in: Theory of Operators and the Theory of Functions [in Russian], Leningrad Univ. (1983), pp. 21–32.

  13. M. M. Lavrent'ev, V. G. Romanov, and V. P. Shishatskii, Ill-Posed Problems of Mathematical Physics and Analysis [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  14. J.-P. Kahane, Some Random Series of Functions, D. C. Heath and Co. (Raytheon Education Co.), Lexington, Mass. (1968).

    Google Scholar 

  15. P. J. Koosis, Introduction to the Theory of HP Spaces [Russian translation], Mir, Moscow (1984).

    Google Scholar 

  16. L. A. Aizenberg and A. P. Yuzhakov, Integral Representations and Residues in Multidimensional Complex Analysis [in Russian], Nauka, Novosibirsk (1979).

    Google Scholar 

  17. V. I. Smirnov and V. A. Lebedev, Constructive Theory of Functions of a Complex Variable [in Russian], Nauka, Moscow-Leningrad (1964).

    Google Scholar 

  18. K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall, Englewood Cliffs, N.J. (1962).

    Google Scholar 

  19. L. A. Aizenberg, “On Temlyakov integrals and boundary value properties of analytic functions of two complex variables,” Dokl. Akad. Nauk SSSR,120, No. 5, 935–938 (1958).

    Google Scholar 

  20. L. A. Aizenberg and B. A. Kravtsov, Computational Experiment on Analytic Continuation of Fourier Spectrum for One-Dimensional Finite Signals [in Russian], Krasnoyarsk (1987) (Preprint Academy of Sciences of the USSR, Siberian Branch, Institute of Physics, No. 34M).

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Authors
  1. L. A. Aizenberg
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Krasnoyarsk. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 29, No. 4, pp. 3–11, July–August, 1988.

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Aizenberg, L.A. Extrapolation of functions holomorphic in a product of halfplanes or strips. Analytic continuation of the spectrum. Sib Math J 29, 513–521 (1988). https://doi.org/10.1007/BF00969858

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  • DOI: https://doi.org/10.1007/BF00969858

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