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On one degenerating singular integral operator. (English. Russian original) Zbl 1481.45011

Differ. Equ. 57, No. 10, 1413-1417 (2021); translation from Differ. Uravn. 57, No. 10, 1436-1440 (2021).
Summary: The regularization of one degenerate singular integral operator with variable coefficients is carried out.

MSC:

45P05 Integral operators
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References:

[1] Gokhberg, I. Ts.; Krupnik, N. Ya., Vvedenie v teoriyu odnomernykh singulyarnykh integral’nykh operatorov (Introduction to the Theory of One-Dimensional Singular Integral Operators) (1973), Kishinev: Stiinta, Kishinev · Zbl 0271.47017
[2] Gakhov, F. D., Kraevye zadachi (Boundary Value Problems) (1977), Moscow: Nauka., Moscow
[3] Gakhov, F. D.; Cherskii, Yu. I., Uravneniya tipa svertki (Convolution Type Equations) (1978), Moscow: Nauka, Moscow · Zbl 0458.45002
[4] Soldatov, A. P., Odnomernye singulyarnye operatory i kraevye zadachi teorii funktsii (One-Dimensional Singular Operators and Boundary Value Problems of Function Theory) (1991), Moscow: Vyssh. Shkola, Moscow · Zbl 0774.47025
[5] Soldatov, A. P., On the index of operators with end symbol, Izv. Math., 63, 4, 791-825 (1999) · Zbl 0972.47038 · doi:10.1070/IM1999v063n04ABEH000258
[6] Polosin, A. A., On the solvability of a singular integral equation with a non-Carleman shift, Differ. Equations, 52, 9, 1170-1177 (2016) · Zbl 1361.45001 · doi:10.1134/S0012266116090081
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