On the Relation between the Scalar Moment Problem and the Matrix Moment Problem on *-Semigroups
β Scribed by Torben Maack Bisgaard
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 499 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0037-1912
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## 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