Weyl Circles for one-dimensional Moment Problems
Philipp di Dio
TL;DR
This paper computes the centers and radii of Weyl circles using Nevanlinna parametrization for various one-dimensional moment problems, providing geometric insights into their solutions.
Contribution
It introduces explicit calculations of Weyl circle parameters for different classical moment problems, enhancing understanding of their solution spaces.
Findings
Explicit formulas for Weyl circle centers and radii.
Geometric interpretation of moment problem solutions.
Unified approach for multiple moment problems.
Abstract
In the present paper we calculate the centers and radii of Weyl circles from the Nevanlinna parametrization for various one-dimensional moment problems (Hamburger moment problem, Stieltjes moment problem, truncated moment problem for finite intervals).
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum chaos and dynamical systems · Matrix Theory and Algorithms