A Reproducing Kernel Condition for Indeterminacy in the Multidimensional Moment Problem
Functional Analysis
2007-05-23 v2
Abstract
Using the smallest eigenvalues of Hankel forms associated with a multidimensional moment problem, we establish a condition equivalent to the existence of a reproducing kernel. This result is a multivariate analogue of Berg, Chen,and Ismail's 2002 result. We also present a class of measures for which the existence of a reproducing kernel implies indeterminacy.
Cite
@article{arxiv.math/0604459,
title = {A Reproducing Kernel Condition for Indeterminacy in the Multidimensional Moment Problem},
author = {Roger A. Roybal},
journal= {arXiv preprint arXiv:math/0604459},
year = {2007}
}
Comments
Revision: Corrected typos, updated proof of main result, added reference To appear in Proc. Amer. Math. Soc