Geodesic
Power Moment Problem on Compact Intervals
Matematičeskie zametki, Tome 69 (2001) no. 2, pp. 200-213

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In this paper the power moment problem on the compact interval is studied. In the nondegenerate case the set of all solutions is described in terms of linear fractional transformations. An explicit formula for the resolvent matrix is given. 
@article{MZM_2001_69_2_a4,
     author = {Yu. M. Dyukarev and A. E. Choque Rivero},
     title = {Power {Moment} {Problem} on {Compact} {Intervals}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {200--213},
     publisher = {mathdoc},
     volume = {69},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2001_69_2_a4/}
}
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Yu. M. Dyukarev; A. E. Choque Rivero. Power Moment Problem on Compact Intervals. Matematičeskie zametki, Tome 69 (2001) no. 2, pp. 200-213. http://geodesic.mathdoc.fr/item/MZM_2001_69_2_a4/