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The classical moment problem and generalized indefinite strings
journal contributionposted on 2023-10-17, 13:03 authored by Jonathan EckhardtJonathan Eckhardt, Aleksey Kostenko
We show that the classical Hamburger moment problem can be included in the spectral theory of generalized indefinite strings. More precisely, we introduce the class of Krein–Langer strings and show that there is a bijective correspondence between moment sequences and this class of generalized indefinite strings. This result can be viewed as a complement to the classical results of Krein on the connection between the Stieltjes moment problem and Krein–Stieltjes strings and Kac on the connection between the Hamburger moment problem and 2 × 2 canonical systems with Hamburger Hamiltonians.
Austrian Science Fund (FWF) under Grants P29299 and P28807
RUDN University Program 5-100
- Mathematical Sciences
Published inIntegral Equations and Operator Theory
- VoR (Version of Record)
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