The Moment Problem for a Sobolev Inner Product |
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| Authors: | D. Barrios Rolaní a, G. L pez Lagomasino,H. Pijeira Cabrera |
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| Affiliation: | a Universidad Politécnia de Madrid, Spain;b Universidad Carlos III de Madrid, Spain;c Universidad de Matanzas, Cuba |
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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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| Keywords: | Sobolev inner product orthogonal polynomials moment problem |
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