A Reproducing Kernel Condition for Indeterminacy in the Multidimensional Moment Problem

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dc.creatorRoybal, Roger A.
dc.date2006-04-21
dc.date2007-02-02
dc.date.accessioned2026-07-07T07:44:14Z
dc.date.available2026-07-07T07:44:14Z
dc.descriptionUsing 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.
dc.descriptionRevision: Corrected typos, updated proof of main result, added reference To appear in Proc. Amer. Math. Soc
dc.identifierhttps://arxiv.org/abs/math/0604459
dc.identifierhttp://arxiv.org/abs/math/0604459
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/123125
dc.subjectFunctional Analysis
dc.subject47A57; 46E22
dc.titleA Reproducing Kernel Condition for Indeterminacy in the Multidimensional Moment Problem
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