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Solution of a convolution equation on the quarter-plane

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Literature cited

  1. R. V. Duduchava, “Integral convolution operators on the quarter-plane with discontinuous symbols,” Izv. Akad. Nauk Ser. Mat.,40, No. 2, 388–412 (1976).

    Google Scholar 

  2. I. B. Simonenko, “On multidimensional discrete convolution operators,” Mat. Issled.,3, No. 1, 108–122 (1968).

    Google Scholar 

  3. V. A. Malyshev, “On the solution of the discrete Wiener-Hopf equations in the quarterplane,” Dokl. Akad. Nauk SSSR,187, No. 6, 1243–1246 (1969).

    Google Scholar 

  4. V. A. Malyshev, “The Wiener-Hopf equations in the quarter-plane, discrete groups, and automorphic functions,” Mat. Sb.,84, No. 4, 499–525 (1971).

    Google Scholar 

  5. R. D. Douglas and R. Howe, “On C*-algebras of Toeplitz operators on the quarter-plane,” Matematika,17, No. 5, 3–16 (1973).

    Google Scholar 

  6. S. Osher, “On certain Töplitz operators in two variables,” Pac. J. Math.,34, 123–129 (1970).

    Google Scholar 

  7. R. V. Duduchava, “On the Noether theorems for singular integral equations in spaces of Hölder functions with a weight,” in: Proc. Sympos. on the Mechanics of a Continuous Medium and Related Problems in Analysis [in Russian], Vol. 1, Metsniereba, Tbilisi (1973), pp. 89–102.

    Google Scholar 

  8. R. G. Douglas, “On the invertibility of a class of Toplitz operators on the quarterplane,” Indiana Univ. Math. J.,21, No. 11, 1031–1035 (1972).

    Google Scholar 

  9. S. Osher, “Discrete potential theory and Töplitz operators on the quarter-plane. I,” Indiana Univ. Math. J.,24, No. 9, 887–896 (1975).

    Google Scholar 

  10. G. Strang, “Töeplitz operators in a quarter-plane,” Bull. Am. Math. Soc.,76, No. 6, 1303–1307 (1970).

    Google Scholar 

  11. I. C. Gohberg and M. G. Krein, Introduction to the Theory of Linear Nonselfadjoint Operators, Amer. Math. Soc. (1969).

  12. I. C. Gohberg and I. A. Fel'dman, Convolution Equations and Projection Methods for Their Solution, Amer. Math. Soc. (1974).

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Authors and Affiliations

  1. Tbilisi Mathematics Institute, USSR

    R. V. Duduchava

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  1. R. V. Duduchava
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Translated from Matematicheskie Zametki, Vol. 27, No. 3, pp. 415–427, March, 1980.

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Duduchava, R.V. Solution of a convolution equation on the quarter-plane. Mathematical Notes of the Academy of Sciences of the USSR 27, 207–213 (1980). https://doi.org/10.1007/BF01140169

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  • DOI: https://doi.org/10.1007/BF01140169

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