Functional and Singular Integral Equations with Carleman Shifts in the Case of Continuous Coefficients

Nikolai Karapetiants and Stefan Samko
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Nikolai Karapetiants: Rostov State University, Department of Mathematics
Stefan Samko: Universidade do Algarve, Faculdade de Ciências e Tecnologia

Chapter 3 in Equations with Involutive Operators, 2001, pp 111-152 from Springer

Abstract: 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.

Keywords: Functional Equation; Unit Circle; Singular Integral Equation; Singular Integral Operator; Fredholm Operator (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0183-0_3

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DOI: 10.1007/978-1-4612-0183-0_3

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