Inverse of Infinite Hankel Moment Matrices

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2018
• Hauptverfasser: Berg, C., Szwarc, R.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2018
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/209848
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Inverse of Infinite Hankel Moment Matrices / C. Berg, R. Szwarc // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 25 назв. — англ.

Let (sₙ)ₙ≥₀ denote an indeterminate Hamburger moment sequence and let H={sₘ₊ₙ} be the corresponding positive definite Hankel matrix. We consider the question of whether there exists an infinite symmetric matrix A = {aⱼ‚ₖ}, which is an inverse of H in the sense that the matrix product AH is defined b...