On the Riemann–Hilbert problem for difference and q-difference systems


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Abstract

We study an analog of the classical Riemann–Hilbert problem stated for the classes of difference and q-difference systems. We generalize Birkhoff’s existence theorem.

About the authors

I. V. Vyugin

Institute for Information Transmission Problems (Kharkevich Institute); National Research University “Higher School of Economics,”

Author for correspondence.
Email: vyugin@gmail.com
Russian Federation, Bol’shoi Karetnyi per. 19, str. 1, Moscow, 127051; ul. Myasnitskaya 20, Moscow, 101000

R. I. Levin

National Research University “Higher School of Economics,”

Email: vyugin@gmail.com
Russian Federation, ul. Myasnitskaya 20, Moscow, 101000

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