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- Title
Two-Dimensional Half-Strong Real Moment Problem and the Corresponding Block Matrices. Part I.
- Authors
Dudkin, M. E.; Dyuzhenkova, O. Yu.
- Abstract
We generalize the relationship between the classical moment problem and the spectral theory of Jacobi matrices. 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.
- Subjects
JACOBI operators; ORTHOGONAL systems; ORTHOGONAL polynomials; MATRICES (Mathematics); JACOBI polynomials
- Publication
Ukrainian Mathematical Journal, 2020, Vol 72, Issue 8, p1212
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-020-01856-0