The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem

Abstract

The form of the Jacobi type matrix related to the strong Hamburger moment problem is known \cite{N5,BD}, i.e., there are known the zero elements of corresponding matrix. We describe the relations between of non-zero elements of such matrices, i.e., we describe ''the inner structure'' of the Jacobi-Laurent matrices related to the strong Hamburger moment problem.

Key words: Hamburger strong moment problems, block three-diagonal matrix.

Full Text

Article Information

Title	The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem
Source	Methods Funct. Anal. Topology, Vol. 19 (2013), no. 2, 97-107
MathSciNet	MR3098490
zbMATH	1289.47029
Milestones	Received 12/11/2012; Revised 05/03/2013
Copyright	The Author(s) 2013 (CC BY-SA)

Authors Information

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

Citation Example

Mykola E. Dudkin, The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem, Methods Funct. Anal. Topology 19 (2013), no. 2, 97-107.

BibTex

@article {MFAT668,
    AUTHOR = {Dudkin, Mykola E.},
     TITLE = {The inner structure of the Jacobi-Laurent matrix related to the strong Hamburger moment problem},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {19},
      YEAR = {2013},
    NUMBER = {2},
     PAGES = {97-107},
      ISSN = {1029-3531},
  MRNUMBER = {MR3098490},
 ZBLNUMBER = {1289.47029},
       URL = {https://mfat.imath.kiev.ua/article/?id=668},
}