This paper presents a unified method for the solution of the matrix Stieltjes moment problem in both the nondegenerate and degenerate cases, based on the use of our recent investigation of the matrix Hamburger moment problem. As a by-product, a complete solution of the matrix NevanlinnaαPick interpo
A unified treatment for the matrix Stieltjes moment problem
β Scribed by Yong-Jian Hu; Gong-Ning Chen
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 209 KB
- Volume
- 380
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
Let {c,,}~ ~ be a doubly infinite sequence of real numbers. A solution of the strong Hamburger moment problem is a positive measure tr on (-~x~, c~) such that c, = f\_~ u ~ da(u) for n = 0, Β± 1, i 2 ..... A solution of the strong Stieltjes moment problem is a positive measure a on [0, c~z) such that
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.
For an indeterminate Stielijes moment sequence the multiplication operator \(M p(x)=x p(x)\) is positive definite and has self-adjoint extensions. Exactly one of these extensions has the same lower bound as \(M\). the so-called Friedrichs extension. The spectral measure of this extension gives a cer
This operation has not received the attention it merits. My experience of treating IOO toe-nails by excision of the germinal matrix has proved that, with a few exceptions, it provides an ideal treatment for both the embedded nail and onychogryphosis. ## SURGICAL ANATOMY The nail\* is a horny plat