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Singular integral operators with noninvertible shift with periodic blocks

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Literature Cited

  1. G. S. Litvinchuk, Boundary Value Problems and Singular Integral Equations with Shift [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  2. Yu. D. Latushkin, “On Noether's theory of singular integral operators with multivalent shift,” Dokl. Akad. Nauk SSSR,254, No. 4, 791–795 (1980).

    Google Scholar 

  3. Yu. D. Latushkin, “On integrofunctional operators with non-one-to-one shift,” Izv. Akad. Nauk SSSR, Ser. Mat.,45, No. 6, 1241–1257 (1981).

    Google Scholar 

  4. Yu. D. Latushkin, “On a singular integral operator with multivalent shift without wandering arcs,” Dokl. Akad. Nauk SSSR,262, No. 5, 1064–1068 (1982).

    Google Scholar 

  5. Yu. I. Karlovich and V. G. Kravchenko, “Noether's theory of a singular integral operator with a shift with periodic points,” Dokl. Akad. Nauk SSSR,231, No. 2, 437–440 (1976).

    Google Scholar 

  6. V. M. Alekseev, Symbolic Dynamics, XI Mathematical Summer School [in Russian], Izd. Inst. Mat. Akad. Nauk Ukr. SSR, Kiev (1976).

    Google Scholar 

  7. A. B. Antonevich, “Operators with shift generated by the action of a compact Lie group,” Sib. Mat. Zh.,20, No. 3, 467–478 (1979).

    Google Scholar 

  8. Z. Nitecki, “Nonsingular endomorphisms of the circle,” Proc. Symp. Pure Math.,14, 203–220 (1970).

    Google Scholar 

  9. Z. Nitecki, Introduction to Differential Dynamics [Russian translation], Mir, Moscow (1975).

    Google Scholar 

  10. M. V. Yakobson, “On smooth mappings of a circle to itself,” Mat. Sb.,85, No. 2, 163–188 (1975).

    Google Scholar 

  11. V. G. Kravchenko, “On a singular integral operator with a shift,” Dokl. Akad. Nauk SSSR,215, No. 6, 1301–1304 (1974).

    Google Scholar 

  12. Yu. I. Karlovich and V. G. Kravchenko, “On an algebra of singular integral operators with non-Carlemann shift,” Dokl. Akad. Nauk SSSR,239, No. 1, 38–41 (1978).

    Google Scholar 

  13. G. Polya and G. Szegö, Problems and Theorems in analysis, No. 1, Springer-Verlag (1977).

  14. I. Ya. Shneiberg, “Spectral properties of linear operators in interpolational families of Banach spaces,” in: Mathematical Research [in Russian], Vol. 9, No. 2, Kishinev (1974), pp. 214–222.

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  1. Yu. D. Latushkin
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Additional information

Odessa. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 26, No. 4, pp. 79–90, July–August, 1985.

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Latushkin, Y.D. Singular integral operators with noninvertible shift with periodic blocks. Sib Math J 26, 539–549 (1985). https://doi.org/10.1007/BF00971301

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  • DOI: https://doi.org/10.1007/BF00971301

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