Llavona, José G. and Linares Briones, Pablo and Ibort Latre, Luis Alberto
(2010)
*On the multilinear trigonometric problem of moments.*
Contemporary Mathematics, 507
.
141-153 .
ISSN 0271-4132

## Abstract

A multilinear generalization of the trigonometric problem of moments is presented and discussed. The moments c(k), k is an element of Z(n) of a regular Borel polymeasure gamma on T(n) are characterized by means of a norm parallel to . parallel to(omega) on functions on Z(n). Some properties of this norm are analyzed and various examples are presented showing that it is strictly weaker than the Frechet norms and the absolute convergence norm. The convolution product of multilinear functionals is defined and an inverse theorem is proved.

Item Type: | Article |
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Additional Information: | Recent trends in orthogonal polynomials and approximation theory. International Workshop on Orthogonal Polynomials and Approximation Theory held in honor of Guillermo Lopez Lagomasino. SEP 08-12, 2008. Univ Carlos III Madrid, Leganes, SPAIN. |

Uncontrolled Keywords: | One-dimension |

Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |

ID Code: | 15878 |

Deposited On: | 10 Jul 2012 08:00 |

Last Modified: | 06 Nov 2013 17:53 |

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