Some class of real sequences having indefinite Hankel forms

Authors

  • V. A. Strauss Department of Pure and Applied Mathematics, Simon Bolivar University, Caracas 1080, Venezuela
  • L. J. Navarro Department of Pure and Applied Mathematics, Simon Bolivar University, Caracas 1080, Venezuela 

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Abstract

In this paper we generalize the results given in [14] about real sequences which are not necessarily positive (i.e, they are not sequences of power moments) but can be mapped, by a difference operator, into a power moment sequence. We prove by elementary methods that the integro-polynomial representation of such sequences remains after dropping the condition on its growth imposed in the mentioned article. Some additional results on the uniqueness of the representation are included.

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Published

2011-03-25

Issue

Vol. 17 No. 1 (2011)

Section

Articles

How to Cite

Strauss, V. A., and L. J. Navarro. “Some Class of Real Sequences Having Indefinite Hankel Forms”. Methods of Functional Analysis and Topology, vol. 17, no. 1, Mar. 2011, pp. 65-74, https://zen.imath.kiev.ua/index.php/mfat/article/view/471.