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Interpolation by analytic functions smooth up to the boundary

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Literature cited

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

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  2. H. Alexander, B. A. Taylor, and D. L. Williams, “The interpolating sets for A∞,” J. Math. Anal. Appl.,36, No. 1, 556–566 (1971).

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  3. E. M. Dyn'kin, “Smooth functions on plane sets,” Dokl. Akad. Nauk SSSR,208, No. 1, 25–27 (1973).

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  4. E. M. Stein and G. Weiss, Introduction to Fourier Analysis of Euclidean Spaces, Princeton Univ. Press, Princeton (1971).

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  5. E. M. Dyn'kin and S. V. Khrushchev, “The interpolation by boundary values of smooth analytic functions,” Dokl. Akad. Nauk SSSR,217, No. 3, 516–518 (1974).

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Authors
  1. E. M. Dyn'kin
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  2. S. V. Khrushchev
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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 56, pp. 59–72, 1976.

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Dyn'kin, E.M., Khrushchev, S.V. Interpolation by analytic functions smooth up to the boundary. J Math Sci 14, 1066–1077 (1980). https://doi.org/10.1007/BF01562049

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  • DOI: https://doi.org/10.1007/BF01562049

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