On the moment problem in the bounded case
β Scribed by E. Torrano; R. Guadalupe
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 482 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0377-0427
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π SIMILAR VOLUMES
The problem of moments is considered for polytopes in R d and other bounded regions specified piecewise by curves of the form c 1 x Necessary and sufficient conditions are suggested by a simple geometric observation. For some choices of c 1 , . . . , c d and Ξ± 1 , . . . , Ξ± d , these conditions red
## Abstract The article is devoted to the solution of the infiniteβdimensional variant of the complex moment problem, and to the uniqueness of the solution. The main approach is illustrated for the best explanation on the oneβdimensional case. (Β© 2007 WILEYβVCH Verlag GmbH & Co. KGaA, Weinheim)
Sufficient conditions for a distribution to be moment-indeterminate are investigated. By applying the fundamental results of Hardy theory, we give an alternative proof of Akhiezer's (1965) result concerning the moment-indeterminacy for distributions supported on the whole real line. Secondly, we giv