The Noether theory in algebras of singular integral functional operators
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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.
KeywordsCompact Operator Periodic Point Banach Algebra Local Method Singular Integral Operator
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