A Reproducing Kernel Condition for Indeterminacy in the Multidimensional Moment Problem

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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.
Revision: Corrected typos, updated proof of main result, added reference To appear in Proc. Amer. Math. Soc

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Functional Analysis, 47A57; 46E22

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http://salesiana.dossiersoluciones.com/handle/123456789/123125

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604459
 http://arxiv.org/abs/math/0604459

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arXiv