On a Generalization of the Stieltjes Moment Problem
β Scribed by R. P. Boas, Jr.
- Book ID
- 121322485
- Publisher
- American Mathematical Society
- Year
- 1939
- Tongue
- English
- Weight
- 510 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0002-9947
- DOI
- 10.2307/1989996
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π SIMILAR VOLUMES
The trigonometric moment problem asks if there exists a positive finite Borel measure on the unit circle whose first n trigonometric moments take some specified values. This paper treats the case when only some of the first n trigonometric moments are specified. A solution of the problem is found wh
## 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_