The strong Hamburger moment problem and self-adjoint operators in Hilbert space

DOI10.1016/S0377-0427(87)80012-2zbMath0632.44005MaRDI QIDQ1095334

Erik Hendriksen

Publication date: 1987

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceHamburger moment problemHausdorff moment problemsymmetric operatorresolution of the identityStieltjes moment problemsHankel determinantsresolvent operatorsselfadjoint extensionpoint Padé approximants

Mathematics Subject Classification ID

Positive definite functions in one variable harmonic analysis (42A82) Moment problems and interpolation problems in the complex plane (30E05) Moment problems (44A60)

Related Items

Solution of the strong Hamburger moment problem by Laurent continued fractions ⋮ The Jacobi matrices approach to Nevanlinna-Pick problems ⋮ Continued fractions, wavelet time operators, and inverse problems ⋮ Asymptotics of recurrence relation coefficients, Hankel determinant ratios, and root products associated with Laurent polynomials orthogonal with respect to varying exponential weights ⋮ Orthogonal Laurent polynomials and strong moment theory: A survey

Cites Work

• Orthogonal Laurent polynomials and the strong Hamburger moment problem
• Moment methods in two point Padé approximation
• A Strong Stieltjes Moment Problem