A reproducing kernel condition for indeterminacy in the multidimensional moment problem
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- by Roger A. Roybal PDF
- Proc. Amer. Math. Soc. 135 (2007), 3967-3975 Request permission
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.References
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Additional Information
- Roger A. Roybal
- Affiliation: Department of Mathematics, California State University, Channel Islands, One University Drive, Camarillo, California 93012
- Email: roger.roybal@csuci.edu
- Received by editor(s): May 30, 2006
- Received by editor(s) in revised form: November 11, 2006
- Published electronically: August 1, 2007
- Additional Notes: The author would like to thank Mihai Putinar for all his advice and support during the preparation of this article.
- Communicated by: Joseph A. Ball
- © Copyright 2007 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 3967-3975
- MSC (2000): Primary 47A57; Secondary 46E22
- DOI: https://doi.org/10.1090/S0002-9939-07-09007-7
- MathSciNet review: 2341947