Open Access

# Strong matrix moment problem of Hamburger

### Abstract

In this paper we consider the strong matrix moment problem on the real line. We obtain a necessary and sufficient condition for uniqueness and find all the solutions for the completely indeterminate case. We use M.G. Krein’s theory of representations for Hermitian operators and technique of boundary triplets and the corresponding Weyl functions.

### Article Information

 Title Strong matrix moment problem of Hamburger Source Methods Funct. Anal. Topology, Vol. 12 (2006), no. 2, 183-196 MathSciNet MR2238039 Copyright The Author(s) 2006 (CC BY-SA)

### Authors Information

K. K. Simonov
Department of Mathematics, Donets'k National University, Donets'k, Ukraine

### Citation Example

K. K. Simonov, Strong matrix moment problem of Hamburger, Methods Funct. Anal. Topology 12 (2006), no. 2, 183-196.

### BibTex

@article {MFAT349,
AUTHOR = {Simonov, K. K.},
TITLE = {Strong matrix moment problem of Hamburger},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {12},
YEAR = {2006},
NUMBER = {2},
PAGES = {183-196},
ISSN = {1029-3531},
URL = {http://mfat.imath.kiev.ua/article/?id=349},
}