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The strong Hamburger moment problem and related direct and inverse spectral problems for block Jacobi-Laurent matrices


Abstract

In this article we propose an approach to the strong Hamburger moment problem based on the theory of generalized eigenvectors expansion for a selfadjoint operator. Such an approach to another type of moment problems was given in our works earlier, but for strong Hamburger moment problem it is new. We get a sufficiently complete account of the theory of such a problem, including the spectral theory of block Jacobi-Laurent matrices.

Key words: Classical and strong moment problems, block three-diagonal matrix, eigenfunction expansion, generalized eigenvector.


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Article Information

TitleThe strong Hamburger moment problem and related direct and inverse spectral problems for block Jacobi-Laurent matrices
SourceMethods Funct. Anal. Topology, Vol. 16 (2010), no. 3, 203-241
MathSciNet MR2743588
CopyrightThe Author(s) 2010 (CC BY-SA)

Authors Information

Yurij M. Berezansky
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine

Mykola E. Dudkin
National Technical University of Ukraine (KPI), 37 Peremogy Av., Kyiv, 03056, Ukraine 


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Citation Example

Yurij M. Berezansky and Mykola E. Dudkin, The strong Hamburger moment problem and related direct and inverse spectral problems for block Jacobi-Laurent matrices, Methods Funct. Anal. Topology 16 (2010), no. 3, 203-241.


BibTex

@article {MFAT568,
    AUTHOR = {Berezansky, Yurij M. and Dudkin, Mykola E.},
     TITLE = {The strong Hamburger moment problem and related direct and inverse spectral problems for block Jacobi-Laurent matrices},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {16},
      YEAR = {2010},
    NUMBER = {3},
     PAGES = {203-241},
      ISSN = {1029-3531},
       URL = {http://mfat.imath.kiev.ua/article/?id=568},
}


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