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

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. Mechnikov Odessa National University, Odessa, Ukraine

    Z. M. Lysenko & L. V. Matviyuk

  2. Odessa State Academy of Refrigeration, Odessa, Ukraine

    A. P. Nechaev & V. T. Shvets

Authors
  1. Z. M. Lysenko
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  2. L. V. Matviyuk
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  3. A. P. Nechaev
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  4. V. T. Shvets
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Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 4, pp. 566–571, April, 2011.

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Lysenko, Z.M., Matviyuk, L.V., Nechaev, A.P. et al. On the fredholm theory of a planar problem with shift for a pair of functions. Ukr Math J 63, 658–664 (2011). https://doi.org/10.1007/s11253-011-0532-x

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  • DOI: https://doi.org/10.1007/s11253-011-0532-x

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