On the Stieltjes moment problem on semigroups
β Scribed by Torben Maack Bisgaard
- Book ID
- 110411248
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 393 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0011-4642
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π SIMILAR VOLUMES
## Abstract In this paper, we characterize the complex sequences (__z~n~__)~__n__~ which satisfy the following condition: For each complex sequence (__a~n~__)~__n__~, there exists a function __f__ such that the functions __t^z^~n~f__(__t__) are Lebesgue integrable and __a~n~__ = β« __t^z^~n~f__(__t_
Let {c,,}~ ~ be a doubly infinite sequence of real numbers. A solution of the strong Hamburger moment problem is a positive measure tr on (-~x~, c~) such that c, = f\_~ u ~ da(u) for n = 0, Β± 1, i 2 ..... A solution of the strong Stieltjes moment problem is a positive measure a on [0, c~z) such that