On a Boundary Value Problem for Pairs of Polyanalytic Functions |
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| Authors: | Anatoly Nechaev Zoya Lysenko |
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| Institution: | (1) Department of Higher Mathematics, Odessa State Academy of Refrigeration, Av. Dvoryanskaya 1, Odessa, 65082, Ukraine;(2) Department of Mathematical Analysis, I.I. Mechnikov Odessa National University, Av. Dvoryanskaya 2, Odessa, 65082, Ukraine |
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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.
Submitted: May 16, 2007. Accepted: November 5, 2007. |
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| Keywords: | " target="_blank"> Boundary value problems for pairs of polyanalytic functions operators with Carleman shift and conjugations Fredholmness index operator approach |
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