On a criterion for the determinate-indeterminate dichotomy of the moment problem

DOI10.1007/s40590-023-00549-5arXiv2107.00697OpenAlexW3181050846MaRDI QIDQ6080936

Diego Hernández Bustos, Luis O. Silva, Sergio Palafox

Publication date: 25 October 2023

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.00697

zbMATH Keywords

Hamburger moment problemJacobi operatorsbases of matrix representation

Mathematics Subject Classification ID

Moment problems and interpolation problems in the complex plane (30E05) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Cites Work

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• On the spectral characterization of entire operators with deficiency indices \((1,1)\)
• The classical moment problem as a self-adjoint finite difference operator
• M. G. Krein's lectures on entire operators
• The Spectra of Selfadjoint Extensions of Entire Operators with Deficiency Indices (1,1)
• de Branges Spaces and Kreĭn’s Theory of Entire Operators
• The Index of Determinacy for Measures and the ℓ 2 -Norm of Orthonormal Polynomials
• The class ofn-entire operators
• The Moment Problem