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Noetherity criterion and a formula for the index of a singular integral functional operator of first order in the continuous case

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

Abstract

In this chapter, the Noether theory of a. singular integral operator with shift
$${{\mathcal{T}}_{{A,B}}} = A{{P}_{ + }} + B{{P}_{ - }}$$
(0)
is constructed.

Keywords

Compact Operator Periodic Point Functional Operator Singular Integral Operator Index Formula 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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