Periodic Riemann problem and discrete convolution equations
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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.
KeywordsSingular Integral Equation Riemann Problem Solvability Condition Cauchy Type Inhomogeneous Problem
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