Jacobi Matrices and the Moment Problem

Jacobi Matrices and the Moment Problem
Author :
Publisher : Springer Nature
Total Pages : 489
Release :
ISBN-10 : 9783031463877
ISBN-13 : 3031463870
Rating : 4/5 (77 Downloads)

Book Synopsis Jacobi Matrices and the Moment Problem by : Yurij M. Berezansky

Download or read book Jacobi Matrices and the Moment Problem written by Yurij M. Berezansky and published by Springer Nature. This book was released on 2024-01-06 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


Jacobi Matrices and the Moment Problem Related Books

Jacobi Matrices and the Moment Problem
Language: en
Pages: 489
Authors: Yurij M. Berezansky
Categories: Mathematics
Type: BOOK - Published: 2024-01-06 - Publisher: Springer Nature

DOWNLOAD EBOOK

This monograph presents the solution of the classical moment problem, the construction of Jacobi matrices and corresponding polynomials. The cases of strongly,t
Matrices, Moments and Quadrature with Applications
Language: en
Pages: 376
Authors: Gene H. Golub
Categories: Mathematics
Type: BOOK - Published: 2009-12-07 - Publisher: Princeton University Press

DOWNLOAD EBOOK

This computationally oriented book describes and explains the mathematical relationships among matrices, moments, orthogonal polynomials, quadrature rules, and
The Problem of Moments
Language: en
Pages: 160
Authors: James Alexander Shohat
Categories: Mathematics
Type: BOOK - Published: 1943-12-31 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The book was first published in 1943 and then was reprinted several times with corrections. It presents the development of the classical problem of moments for
The Classical Moment Problem and Some Related Questions in Analysis
Language: en
Pages: 267
Authors: N.I. Akhiezer
Categories: Mathematics
Type: BOOK - Published: 2020-12-01 - Publisher: SIAM

DOWNLOAD EBOOK

The mathematical theory for many application areas depends on a deep understanding of the theory of moments. These areas include medical imaging, signal process
Iterated Function Systems, Moments, and Transformations of Infinite Matrices
Language: en
Pages: 122
Authors: Palle E. T. Jørgensen
Categories: Mathematics
Type: BOOK - Published: 2011 - Publisher: American Mathematical Soc.

DOWNLOAD EBOOK

The authors study the moments of equilibrium measures for iterated function systems (IFSs) and draw connections to operator theory. Their main object of study i