Polynomial almost periodic solutions for a class of Riemann-Hilbert problems with triangular symbols
The authors study almost periodic solutions of Riemann--Hilbert problems of the form \(\widehat g(\xi)=ae^{i\alpha\xi}+b+ce^{-i\beta\xi}\), where \(\alpha,\beta\in(0,1)\), \(\alpha+\beta<1\), the number \(\alpha\beta^{-1}\) is irrational, and \(a,b,c\) are nonzero complex numbers. The authors seek a solution in the space of almost periodic functions with spectrum in the group \(\alpha{\mathbb Z}+\beta{\mathbb Z}\).
scientific article; zbMATH DE number 5083448
scientific article