Abstract
In this note the results of [1] are generalized to the case of an arbitrary simple closed Lyapunov contour and an arbitrary Carleman shift changing the orientation of the contour.
The paper was originally published as И.Ц. Гохберг, Н.Я. Крупник, Об алгебрах сингулярных интегральных операторов со сдвигом, Матем. Исслед. 8 (1973), № 2(28), 170–175. MR0341191 (49 #5941), Zbl 0306.47022.
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References
I.C. Gohberg and N.Ya. Krupnik, One-dimensional singular integral operators with shift. Izv. Akad. Nauk Arm. SSR, Ser. Matem. 8 (1973), no. 1, 3–12 (in Russian). English translation: this volume. MR0333840 (48 #12162), Zbl 0255.47058.
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I.C. Gohberg and N.Ya. Krupnik, Singular integral operators with piecewise continuous coefficients and their symbols. Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971), 940–964 (in Russian). English translation: Math. USSR Izvestiya 5 (1971), no. 4, 955–979. MR0291893 (45 #981), Zbl 0235.47025.
I.C. Gohberg and N.Ya. Krupnik, Banach algebras generated by singular integral operators. In: “Hilbert Space Operators Operator Algebras (Proc. Internat. Conf., Tihany, 1970).” Colloquia Math. Soc. Janos Bolyai 5 (1972), 239–264. MR0380519 (52 #1419), Zbl 0354.45008.
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Gohberg, I., Krupnik, N. (2010). Algebras of Singular Integral Operators with Shift. In: Lerer, L., Olshevsky, V., Spitkovsky, I.M. (eds) Convolution Equations and Singular Integral Operators. Operator Theory: Advances and Applications, vol 206. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8956-7_14
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