Ukrainian Mathematical Journal

, 63:658 | Cite as

On the fredholm theory of a planar problem with shift for a pair of functions

  • Z. M. Lysenko
  • L. V. Matviyuk
  • A. P. Nechaev
  • V. T. Shvets
Brief Communications

We establish necessary and sufficient conditions for the Fredholm property of a planar problem with shift and conjugation for a pair of functions and obtain a formula for the determination of its index.


Planar Problem Toeplitz Operator Singular Integral Equation Quasiconformal Mapping Bergman Space 
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Copyright information

© Springer Science+Business Media, Inc. 2011

Authors and Affiliations

  • Z. M. Lysenko
    • 1
  • L. V. Matviyuk
    • 1
  • A. P. Nechaev
    • 2
  • V. T. Shvets
    • 2
  1. 1.Mechnikov Odessa National UniversityOdessaUkraine
  2. 2.Odessa State Academy of RefrigerationOdessaUkraine

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