A reproducing kernel condition for indeterminacy in the multidimensional moment problem

DOI10.1090/S0002-9939-07-09007-7zbMath1133.47013arXivmath/0604459MaRDI QIDQ5423953

Roger A. Roybal

Publication date: 1 November 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604459

zbMATH Keywords

Hankel matrixreproducing kernelmultidimensional moment problem

Mathematics Subject Classification ID

Linear operator methods in interpolation, moment and extension problems (47A57) Moment problems (44A60) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22)

Cites Work

• A remark on the multidimensional moment problem
• The multidimensional moment problem
• On the relation between the multidimensional moment problem and the one-dimensional moment problem.
• An Example of a Positive Polynomial which is not a Sum of Squares of Polynomials A Positive, but not Strongly Positive Functional
• Small eigenvalues of large Hankel matrices: The indeterminate case
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