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A moment problem associated to rational Szegő functions

✍ Scribed by Adhemar Bultheel; Pablo González-Vera; Erik Hendriksen; Olav Njåstad


Publisher
Springer US
Year
1992
Tongue
English
Weight
465 KB
Volume
3
Category
Article
ISSN
1017-1398

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The papers deals with a finite moment problem for rational matrix-valued functions. We present a necessary and sufficient condition for the solvability of the problem. In the nondegenerate case we construct a particular solution which has interesting extremal properties.

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✍ Adhemar Bultheel; Pablo González-Vera; Erik Hendriksen; Olav NjÅstad 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 177 KB

Let { n } ∞ n=1 be a sequence of points in the open unit disk in the complex plane and let . We put L = span{B n : n = 0, 1, 2, . . .} and we consider the following "moment" problem: Given a positive-definite Hermitian inner product •, • in L, find all positive Borel measures on [-, ) such that We