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

Authors

  • M. E. Dudkin Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine
  • Yu. M. Berezansky National Technical University of Ukraine (KPI), 37 Peremogy Av., Kyiv, 03056, Ukraine  https://orcid.org/0000-0002-3298-0133

DOI:

Keywords:

Classical and strong moment problems, block three-diagonal matrix, eigenfunction expansion, generalized eigenvector

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.

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Published

2010-09-25

Issue

Vol. 16 No. 3 (2010)

Section

Articles

How to Cite

Dudkin, M. E., and Yu. M. Berezansky. “The Strong Hamburger Moment Problem and Related Direct and Inverse Spectral Problems for Block Jacobi-Laurent Matrices”. Methods of Functional Analysis and Topology, vol. 16, no. 3, Sept. 2010, pp. 203-41, https://zen.imath.kiev.ua/index.php/mfat/article/view/452.