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Strong matrix moment problem of Hamburger


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.

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TitleStrong matrix moment problem of Hamburger
SourceMethods Funct. Anal. Topology, Vol. 12 (2006), no. 2, 183-196
MathSciNet   MR2238039
CopyrightThe Author(s) 2006 (CC BY-SA)

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

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


@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 = {},

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