Moments from their very truncations
F.H. Szafraniec
TL;DR
This paper introduces a new result in the multidimensional moment problem that considers the impact of the most extensive possible truncations, extending existing theoretical frameworks.
Contribution
It provides a novel theoretical result addressing the role of maximal truncations in the multidimensional moment problem.
Findings
New theoretical insight into the role of truncations in the moment problem
Extension of existing results to include maximal truncations
Enhanced understanding of conditions for positive definiteness in multidimensional cases
Abstract
It is known that positive definiteness is not enough for the multidimensional moment problem to be solved. We would like throw in to the garden of existing in this matter so far results one more, a result which takes into considerations the utmost possible truncations.
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Taxonomy
TopicsHolomorphic and Operator Theory · Algebraic and Geometric Analysis · Quantum chaos and dynamical systems