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A Class of Hölder Matrix Functions of the Second Order Admitting Effective Factorization

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Abstract

Hölder matrix functions of the second order are considered. We assume that one element is arbitrary, diagonal elements do not vanish on the contour, and the choice of the last element determines the possibility of their effective factorization.

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REFERENCES

  1. N. P. Vekua, Systems of Singular Integral Equations (Noordhoff, Groningen, 1967; Nauka, Moscow, 1970).

  2. G. N. Chebotarev, “Partial indices for the Riemann boundary problem with a triangular matrix of second order,” Usp. Mat. Nauk 11 (3), 199–202 (1956).

    MathSciNet  Google Scholar 

  3. V. M. Adukov, “Wiener–Hopf factorization of meromorphic matrix functions,” St. Petersburg Math. J. 4 (1), 51–69 (1993).

    MathSciNet  MATH  Google Scholar 

  4. S. N. Kiyasov, “Certain classes of problems on linear conjugation for a two-dimensional vector admitting explicit solutions,” Russ. Math. 57 (1), 1–16 (2013). https://doi.org/10.3103/S1066369X13010015

    Article  MathSciNet  MATH  Google Scholar 

  5. F. D. Gakhov, Boundary Value Problems (Nauka, Moscow, 1977; Dover, New York, 1990).

  6. F. D. Gakhov, “Riemann’s boundary problem for a system of n pairs of functions,” Usp. Mat. Nauk 7 (4), 3–54 (1952).

    MathSciNet  Google Scholar 

  7. S. N. Kiyasov, “Contribution to the general linear conjugation problem for a piecewise analytic vector,” Sib. Math. J. 59 (2), 288–294 (2018). https://doi.org/10.1134/S003744661802012X

    Article  MathSciNet  MATH  Google Scholar 

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Kiyasov, S.N. A Class of Hölder Matrix Functions of the Second Order Admitting Effective Factorization. Russ Math. 66, 56–61 (2022). https://doi.org/10.3103/S1066369X22100073

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  • DOI: https://doi.org/10.3103/S1066369X22100073

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