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The Noether theory in algebras of singular integral functional operators

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

Abstract

We have already stated in the Introduction that, in Chapter 5, we do not try to describe any complete Noether theory of the algebras of FO and SIFO. We pose a more modest problem in order to illustrate the methods of solving the subproblems(N 1) - (NIII) and(1I) -(I III)of problems(N)and(I)(see Section 1 of Chapter 1) concerning the Noetherity criterion and the index formula, which arise naturally in an algebraic treatment. We therefore devote the essential part of this chapter (Sections 1-3) to the analysis of the simplest models of FO and SIFO algebras.

Keywords

Compact Operator Periodic Point Banach Algebra Local Method Singular Integral Operator 
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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