An algorithm for the Hausdorff moment problem
β Scribed by G. Greaves
- Publisher
- Springer-Verlag
- Year
- 1982
- Tongue
- English
- Weight
- 336 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0029-599X
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## Abstract We consider the problem of finding __u__ β __L__ ^2^(__I__ ), __I__ = (0, 1), satisfying β«~__I__~ __u__ (__x__ )__x__ d__x__ = __ΞΌ__ ~__k__~ , where __k__ = 0, 1, 2, β¦, (__Ξ±__ ~__k__~ ) is a sequence of distinct real numbers greater than β1/2, and **__ΞΌ__** = (__ΞΌ__ ~__kl__~ ) is a g
## Abstract This paper deals with a Hausdorff moment problem with complex exponents, that is, given a sequence of complex numbers __(z~n~)n__ and a fixed space __X__ of functions denned on [0, 1], we ask under which conditions on a sequence (__a__~__n__~)~__n__~ the moment problem __a__~__n__~ = β«