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.
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© 1994 Springer Science+Business Media Dordrecht
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Kravchenko, V.G., Litvinchuk, G.S. (1994). The Noether theory in algebras of singular integral functional operators. In: Introduction to the Theory of Singular Integral Operators with Shift. Mathematics and Its Applications, vol 289. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1180-5_5
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DOI: https://doi.org/10.1007/978-94-011-1180-5_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4515-5
Online ISBN: 978-94-011-1180-5
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