TY - JOUR
AU - M. E. Dudkin
AU - O. Yu. Dyuzhenkova
PY - 2020/08/18
Y2 - 2020/10/31
TI - Two-dimensional half-strong real moment problem and the corresponding block matrices. Part I
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 72
IS - 8
SE - Research articles
DO - 10.37863/umzh.v72i8.6062
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/6062
AB - УДК 517.9The 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.
ER -