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Deformation of Complex Structures and Boundary Value Problem with Shift

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Analysis as a Life

Part of the book series: Trends in Mathematics ((TM))

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Abstract

In this paper we consider so called Beltrami parametrization of Riemann surfaces and show that the Riemann-Hilbert boundary value problem with shift is equivalent to classical Riemann-Hilbert boundary value problem with respect to the complex structures defined by Beltrami parametrization induced from shift operator.

Dedicated to H. Begehr

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References

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Acknowledgements

This work was supported by grant N FS 17-96 from the Shota Rustaveli National Science Foundation.

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Authors and Affiliations

  1. I. Vekua Institute of Applied Mathematics, Tbilisi, Georgia

    G. Akhalaia, G. Giorgadze & G. Makatsaria

  2. Ilia State University, Tbilisi, Georgia

    N. Manjavidze

Authors
  1. G. Akhalaia
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  2. G. Giorgadze
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  3. G. Makatsaria
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  4. N. Manjavidze
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Corresponding author

Correspondence to N. Manjavidze .

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Editors and Affiliations

  1. Department of Economics, Belarusian State University, Minsk, Belarus

    Sergei Rogosin

  2. Mathematics Department, Yeditepe University, AtaĹźehir, Istanbul, Turkey

    Ahmet Okay Çelebi

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Akhalaia, G., Giorgadze, G., Makatsaria, G., Manjavidze, N. (2019). Deformation of Complex Structures and Boundary Value Problem with Shift. In: Rogosin, S., Çelebi, A. (eds) Analysis as a Life. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-02650-9_1

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