Differential Equations

, Volume 51, Issue 5, pp 652–660 | Cite as

Periodic Riemann problem and discrete convolution equations

Integral Equations


We study a periodic Riemann problem of finding a pair of analytic functions in the upper and lower half-strips and describe its solvability conditions depending on the index of the problem. We show that this problem can be used to study the solvability of discrete convolution equations.


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    Gakhov, F.D., Kraevye zadachi (Boundary Value Problems), Moscow: Nauka, 1977.MATHGoogle Scholar
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    Muskhelishvili, N.I., Singulyarnye integral’nye uravneniya (Singular Integral Equations), Moscow: Nauka, 1968.Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2015

Authors and Affiliations

  1. 1.Belgorod State UniversityBelgorodRussia
  2. 2.Lipetsk State Technical UniversityLipetskRussia

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