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Addendum to “The Extremal Truncated Moment Problem”

✍ Scribed by Raúl E. Curto; Lawrence A. Fialkow; H. Michael Möller

Publisher: SP Birkhäuser Verlag Basel
Year: 2008
Tongue: English
Weight: 83 KB
Volume: 61
Category: Article
ISSN: 0378-620X
DOI: 10.1007/s00020-008-1591-8

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A bisequence of complex numbers {pLn}Ea determines a strong moment functional Y satisfying Y[x"] =pL,. If \_Y is positive-definite on a bounded interval (a,b) c Iw\{O}, then 44 has an integral representation 6P[xn]=~~\_xn d$(x), n = 0, f 1,312,. ., and quadrature rules {w,i, x,,} exist such that ,,&