ENGLISH

Jacobi Matrices and the Moment Problem (Operator Theory: Advances and Applications, 294)

By Yurij M. Berezansky

Book information

Publisher
Birkhäuser
Year
2023
ISBN
3031463862, 9783031463860
Language
english
Format
PDF
Filesize
13 MB (13482772 bytes)
Pages
496\489
Time added
2024-03-28 13:11:58

Description

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.

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