Abstract
In this chapter we begin with properties of generalized Carleman shifts and consider the so-called α(t)-factorization of functions (Section 9). We show how this factorization works when we deal with a functional equation with a degenerate symbol (Section 10). In the final Sections 11 and 12 we present the results on Fredholmness of singular integral equations with Carleman shifts on a closed or open curve in order to reveal the ideas which lead to the abstract approach developed later in Chapter 4.
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© 2001 Springer Science+Business Media New York
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Karapetiants, N., Samko, S. (2001). Functional and Singular Integral Equations with Carleman Shifts in the Case of Continuous Coefficients. In: Equations with Involutive Operators. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0183-0_3
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DOI: https://doi.org/10.1007/978-1-4612-0183-0_3
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-1-4612-6651-8
Online ISBN: 978-1-4612-0183-0
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