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The discrete Wiener-Hopf equation

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References

  1. Baxter, G.: A norm-inequality for a “finite-section” Wiener-Hopf equation. Ill. J. Math.7, 97–103 (1963).

    Google Scholar 

  2. Birkoff, G. D.: A theorem on matrices of analytic functions. Math. Ann.74, 122–133 (1913).

    Google Scholar 

  3. Calderon, A., F. Spitzer, and H. Widom: Inversion of Toeplitz matrices. Ill. J. Math.3, 490–498 (1959).

    Google Scholar 

  4. Fischer, W.: Zur Deformationstheorie komplex-analytischer Faserbündel. Ph. D. Dissertation, Univ. Münster (1964).

  5. Gohberg, I. C., and I. A. Fel'dman: Reduction method for systems of equations of Wiener-Hopf type. Soviet Math.6, 1433–1436 (1965).

    Google Scholar 

  6. ——, and M. G. Krein: Systems of integral equations on a half line with kernels depending on the difference of arguments. Transl. Amer. Math. Soc., Series (2)14, 217–287 (1960).

    Google Scholar 

  7. Grothendieck, A.: Sur la classification des fibres holomorphes sur la sphère de Riemann. Amer. J. Math.79, 121–138 (1957).

    Google Scholar 

  8. Muskhelishvili, N. I.: Singular integral equations. Groningen: Noordhoff (1953).

    Google Scholar 

  9. Orth, D.: Welding Riemann surfaces and transmission problems with shifts. To appear.

  10. Röhrl, H.: On holomorphic families of fibre bundles over the Riemannian sphere. Mem. Coll. Sci. Univ. Kyoto33, 435–477 (1961).

    Google Scholar 

  11. —— Über das Riemann-Privalovsche Randwertproblem. Math. Ann.151, 365–423 (1963).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Princeton University Fine Hall, 08540, Princeton, New Jersey

    Donald Orth

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  1. Donald Orth
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The results in this paper are contained in the author's doctoral dissertation written under the direction of H. Röhrl at the University of California, San Diego.

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Orth, D. The discrete Wiener-Hopf equation. Math. Ann. 182, 104–120 (1969). https://doi.org/10.1007/BF01376217

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  • DOI: https://doi.org/10.1007/BF01376217

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