@article{Dudkin_Dyuzhenkova_2020, title={Two-dimensional half-strong real moment problem and the corresponding block matrices. Part I}, volume={72}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/6062}, DOI={10.37863/umzh.v72i8.6062}, abstractNote={<p>УДК 517.9</p> <p>The relationship between the classical moment problem and the spectral theory of Jacobi matrices is generalized. We present the solution of the two-dimensional half-strong moment problem and suggest an analog of Jacobi-type matrices associated with the two-dimensional half-strong moment problem and the corresponding system of polynomials orthogonal with respect to a measure with compact support in the real plane.</p>}, number={8}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Dudkin , M. E. and Dyuzhenkova , O. Yu.}, year={2020}, month={Aug.}, pages={1047-1063} }