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On a Boundary Value Problem for Pairs of Polyanalytic Functions

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Abstract.

The necessary and sufficient conditions of Fredholmness and the index formula for a boundary value problems for a pair of polyanalytic functions, containing differential operators as well as operators with Carleman shift and conjugations, are obtained.

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Authors and Affiliations

  1. Department of Higher Mathematics, Odessa State Academy of Refrigeration, Av. Dvoryanskaya 1, Odessa, 65082, Ukraine

    Anatoly Nechaev

  2. Department of Mathematical Analysis, I.I. Mechnikov Odessa National University, Av. Dvoryanskaya 2, Odessa, 65082, Ukraine

    Zoya Lysenko

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  1. Anatoly Nechaev
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  2. Zoya Lysenko
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Submitted: May 16, 2007. Accepted: November 5, 2007.

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Nechaev, A., Lysenko, Z. On a Boundary Value Problem for Pairs of Polyanalytic Functions. Complex anal.oper. theory 2, 627–635 (2008). https://doi.org/10.1007/s11785-008-0070-1

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  • DOI: https://doi.org/10.1007/s11785-008-0070-1

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