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Extremal problems for Blaschke products and widths

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1550)

Keywords

  • Extremal Problem
  • Blaschke Product
  • Embedding Operator
  • Singular Number
  • Compact Linear Operator

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References

  1. S. Fisher and C. Micchelli, The n-widths of sets of analytic functions, Duke Math.J. 47 no. 4 (1980), pp. 789–801.

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  2. J.E. Andersson, Optimal quadrature H p-functions, Matem.Zametki 172 no. 1 (1980), pp. 55–62. (In Russian)

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  3. O.G. Parfenov, Gelfand n-widths of the unit ball of H p in weighted spaces, Matem.Zametki 37 no. 2 (1985), pp. 171–175. (In Russian)

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  4. A. Pietsch, Operatorenidealen, Berlin, VEB, 1978.

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  5. O.G. Parfenov, The estimates of singular numbers of the Carleson embedding operator, Matem.Sbornik 131(173) no. 4(2) (1986), pp. 501–518. (In Russian)

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  6. V.D. Erochin, Best linear approximation of functions having analytic continuation from given continuum onto given domain, Uspechi Math. Nauk 23 no. 1(139) (1968), pp. 91–133. (In Russian)

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© 1993 The Euler International Mathematical Institute

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Parfenov, O.G. (1993). Extremal problems for Blaschke products and widths. In: Gonchar, A.A., Saff, E.B. (eds) Methods of Approximation Theory in Complex Analysis and Mathematical Physics. Lecture Notes in Mathematics, vol 1550. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0117483

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  • DOI: https://doi.org/10.1007/BFb0117483

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56931-2

  • Online ISBN: 978-3-540-47792-1

  • eBook Packages: Springer Book Archive