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.

Full Text

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},
  MRNUMBER = {MR2238039},
       URL = {http://mfat.imath.kiev.ua/article/?id=349},
}