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Inverse Problem for Conservative Curved Systems

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Modern Analysis and Applications

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 190))

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Abstract

Conservative curved systems over multiply connected domains are introduced and relationships of such systems with related notions (functional model, characteristic function, and transfer function) are studied. In contrast to standard theory for the unit disk, characteristic functions and transfer functions are essentially different objects. We study possibility to recover the characteristic function for a given transfer function. As the result we obtain the procedure to construct the functional model for a given conservative curved system.

The research for this article was supported by INTAS grant, project 05-1000008-7883.

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Author information

Authors and Affiliations

  1. Mathematical department, Taurida National University, 4 Yaltinskaya St., 95007, Simferopol, Crimea, Ukraine

    Alexey Tikhonov

Authors
  1. Alexey Tikhonov
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Editor information

Editors and Affiliations

  1. Department of Theoretical Physics, Odessa National I.I. Mechnikov University, Dvoryanska st. 2, 65026, Odessa, Ukraine

    Vadim M. Adamyan

  2. Department of Mathematical Sciences Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Ramat Aviv, Israel

    Israel Gohberg

  3. Institute of Mathematics, Ukrainian National Academy of Sciences, Tereshchenkivska st., 01601, Kyiv-4, Ukraine

    Anatoly Kochubei , Yurij Berezansky , Myroslav Gorbachuk  & Valentyna Gorbachuk , ,  & 

  4. Department of Mathematical Physics, Odessa National I.I. Mechnikov University, Dvoryanska st. 2, 65026, Odessa, Ukraine

    Gennadiy Popov

  5. Institute of Analysis and Scientific Computing, Technical University of Vienna, Wiedner Hauptstrasse 8-10, 1040, Vienna, Austria

    Heinz Langer

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Tikhonov, A. (2009). Inverse Problem for Conservative Curved Systems. In: Adamyan, V.M., et al. Modern Analysis and Applications. Operator Theory: Advances and Applications, vol 190. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-9919-1_29

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