The Noether theory of a singular integral functional operator of finite order in the continuous case

  • Victor G. Kravchenko
  • Georgii S. Litvinchuk
Part of the Mathematics and Its Applications book series (MAIA, volume 289)


This chapter is devoted to systems of singular integral equations with continuous coefficients which are considered on a closed Lyapunov contour (the so-called continuous case). The Carleman shift and non-Carleman shift cases are considered by different methods. So these studies are realized separately.


Normal Form Periodic Point Singular Integral Equation Functional Operator Singular Integral Operator 
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Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • Victor G. Kravchenko
    • 1
  • Georgii S. Litvinchuk
    • 2
  1. 1.Ukrainian State Hydrometeorological InstituteOdessaUkraine
  2. 2.Ukrainian State UniversityOdessaUkraine

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