A Reproducing Kernel Condition for Indeterminacy in the Multidimensional Moment Problem

Details A Reproducing Kernel Condition for Indeterminacy in the Multidimensional Moment Problem A Reproducing Kernel Condition for Indeterminacy in the Multidimensional Moment Problem

2006-04-21

arxiv.org/abs/math/0604459v2

Mathematics

Functional Analysis

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

Scientific paper

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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