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The moment problem for a Sobolev inner product

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URI: http://hdl.handle.net/10016/6365
ISSN: 0021-9045
DOI: 10.1006/jath.1999.3359
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moment_lagomasino_jat_1999_ps.pdf (175.79 KB)
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1999-10
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Elsevier
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Abstract
The concepts of definite and determinate Sobolev moment problem are introduced. The study of these questions is reduced to the definiteness or determinacy, respectively, of a system of classical moment problems by means of a canonical decomposition of the moment matrix associated with a Sobolev inner product in terms of Hankel matrices.
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17 pages, no figures.-- MSC2000 code: 44A60.
MR#: MR1715024 (2000m:44013)
Zbl#: Zbl 0980.44008
Keywords
Sobolev inner product, Orthogonal polynomials, Moment problem
Bibliographic citation
Journal of Approximation Theory, 1999, vol. 100, n. 2, p. 364-380
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