The two-dimensional moment problem in a strip (Q2850445)

The author gives a description of all solution measures \(\mu\) of the moment problem NEWLINE\[NEWLINE \int_\Pi x_1^m x_2^n\, d\mu=s_{m,n},\quad m,n\in \mathbb Z_+, NEWLINE\]NEWLINE where \(\Pi =\{ (x_1,x_2)\in \mathbb R^2: | x_2| \leq R\}\), \(R>0\), \(\{ s_{m,n}\}_{m,n\in \mathbb Z_+}\) is a prescribed sequence of complex numbers. The author uses the operator approach to moment problems and \textit{A. V. Shtraus}' theorem on generalized resolvents [Izv. Akad. Nauk SSSR, Ser. Mat. 18, 51--86 (1954; Zbl 0055.10903)].