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An algebra of singular integral operators with a finite commutative group of shifts on a composite contour

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Literature cited

  1. P. G. Bashkarev, Yu. I. Karlovich, and A. P. Nechaev, “On the theory of singular integral operators with a finite group of shifts,” Dokl. Akad. Nauk SSSR,219, No. 2, 272–274 (1974).

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  2. V. G. Kravchenko and G. S. Litvinchuk, “On the symbol of a singular integral operator with Carleman shifts,” Ukr. Mat. Zh.,25, No. 4, 541–545 (1973).

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  3. A. S. Sosunov, “A formula for the index of a class of singular integral equations with two Carleman shifts,” in: Proceedings of the All-Union Conference on Boundary Problems [in Russian], Kazan (1970), pp. 249–253.

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Translated from Ukraiaskii Matematicheskii Zhurnal, Vol. 30, No. 1, pp. 88–92, January–February, 1978.

In conclusion, I consider it a duty to express my deep gratitude to G. S. Litvinchuk for valuable advice and for his constant interest in this work.

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Bashkarev, P.G. An algebra of singular integral operators with a finite commutative group of shifts on a composite contour. Ukr Math J 30, 65–68 (1978). https://doi.org/10.1007/BF01130633

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