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The Hausdorff Moment Problem under Finite Additivity

โœ Scribed by Enrique Miranda; Gert de Cooman; Erik Quaeghebeur


Publisher
Springer US
Year
2007
Tongue
English
Weight
272 KB
Volume
20
Category
Article
ISSN
0894-9840

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A Hausdorff-like moment problem and the
โœ Nguyen Dung; Nguyen Vu Huy; Pham Hoang Quan; Dang Duc Trong ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 159 KB

## Abstract We consider the problem of finding __u__ โˆˆ __L__ ^2^(__I__ ), __I__ = (0, 1), satisfying โˆซ~__I__~ __u__ (__x__ )__x__ d__x__ = __ฮผ__ ~__k__~ , where __k__ = 0, 1, 2, โ€ฆ, (__ฮฑ__ ~__k__~ ) is a sequence of distinct real numbers greater than โ€“1/2, and **__ฮผ__** = (__ฮผ__ ~__kl__~ ) is a g