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A transformation from Hausdorff to Stieltjes moment sequences

✍ Scribed by Christian Berg; Antonio J. Durán

Publisher
Springer Netherlands
Year
2004
Tongue
English
Weight
795 KB
Volume
42
Category
Article
ISSN
0004-2080

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## Abstract We consider the problem of finding __u__ ∈ __L__ ^2^(__I__ ), __I__ = (0, 1), satisfying ∫~__I__~ __u__ (__x__ )__x__ d__x__ = __μ__ ~__k__~ , where __k__ = 0, 1, 2, …, (__α__ ~__k__~ ) is a sequence of distinct real numbers greater than –1/2, and **__μ__** = (__μ__ ~__kl__~ ) is a g