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Periodic Riemann problem and discrete convolution equations

Periodic Riemann problem and discrete convolution 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Periodic Riemann problem and discrete convolution equations

Differential Equations , Volume 51 (5) – Jun 19, 2015

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References (2)

Publisher
Springer Journals
Copyright
Copyright © 2015 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266115050080
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Differential EquationsSpringer Journals

Published: Jun 19, 2015

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