Stieltjes moment problems and the Friedrichs extension of a positive definite operator

DOI10.1006/jath.1995.1122zbMath0840.44003OpenAlexW2080243424MaRDI QIDQ1907501

Henrik Laurberg Pedersen

Publication date: 11 July 1996

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.1995.1122

zbMATH Keywords

multiplication operatorspectral measurepositive definite operatorFriedrichs extensionStieltjes moment problemsNevanlinna parametrizationNevanlinna matrices

Mathematics Subject Classification ID

Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Moment problems (44A60)

Related Items (11)

Shell polynomials and dual birth-death processes ⋮ A moment problem for pseudo-positive definite functionals ⋮ Co-recursivity and Karlin-McGregor duality for indeterminate moment problems ⋮ Indeterminate moment problems and the theory of entire functions ⋮ Friedrichs extension of operators defined by even order Sturm-Liouville equations on time scales ⋮ The Nevanlinna parametrization for \(q\)-Lommel polynomials in the indeterminate case ⋮ Subnormality of unbounded composition operators over one-circuit directed graphs: exotic examples ⋮ On the Krein and Friedrichs extensions of a positive Jacobi operator ⋮ Indeterminate moment problems related to birth and death processes with quartic rates ⋮ New Nevanlinna matrices for orthogonal polynomials related to cubic birth and death processes ⋮ The moment problem associated with the Stieltjes-Wigert polynomials

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