Jacobi Matrices and the Moment Problem
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Beschreibung
This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases of strongly,trigonometric, complex and real two-dimensional moment problems are discussed, and the Jacobi-type matrices corresponding to the trigonometric moment problem are shown. The Berezansky theory of the expansion in generalized eigenvectors for corresponding set of commuting operators plays the key role in the proof of results.
The book is recommended for researchers in fields of functional analysis, operator theory, mathematical physics, and engineers who deal with problems of coupled pendulums.
This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases of strongly,trigonometric, complex and real two-dimensional moment problems are discussed, and the Jacobi-type matrices corresponding to the trigonometric moment problem are shown. The Berezansky theory of the expansion in generalized eigenvectors for corresponding set of commuting operators plays the key role in the proof of results.
The book is recommended for researchers in fields of functional analysis, operator theory, mathematical physics, and engineers who deal with problems of coupled pendulums.
Presents direct and inverse problems for various classes of Jacobi type matrices Uses different approaches and novel methods Develops the theory of block Jacobi matrices and their applications to moment problems
Autor*in
Yurij M. Berezansky
Themen in »Jacobi Matrices and the Moment Problem«
Hamburger Moment Problem Inverse Spectral Problem Unbounded Operators Block Jacobi Type Matrices Strong Moment Problem