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A Reproducing Kernel Condition for Indeterminacy in the Multidimensional Moment Problem

Roger A. Roybal
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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.

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Roger A. Roybal. 2007-02-02. A Reproducing Kernel Condition for Indeterminacy in the Multidimensional Moment Problem. https://arxiv.org/abs/math/0604459

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