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Jacobi matrices and the moment problem

Record Type:	Electronic resources : Monograph/item
Title/Author:	Jacobi matrices and the moment problemby Yurij M. Berezansky, Mykola E. Dudkin.
Author:	Berezanskii, IU. M.
other author:	Dudkin, Mykola E.
Published:	Cham :Springer Nature Switzerland :2023.
Description:	ix, 487 p. :illustrations, digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Moment problems (Mathematics)
Online resource:	https://doi.org/10.1007/978-3-031-46387-7
ISBN:	9783031463877$q(electronic bk.)

Jacobi matrices and the moment problem
Berezanskii, IU. M.

Jacobi matrices and the moment problem[electronic resource] /by Yurij M. Berezansky, Mykola E. Dudkin. - Cham :Springer Nature Switzerland :2023. - ix, 487 p. :illustrations, digital ;24 cm. - Operator theory : advances and applications,v. 2942296-4878 ;. - Operator theory : advances and applications ;v. 294..

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.

ISBN: 9783031463877$q(electronic bk.)

Standard No.: 10.1007/978-3-031-46387-7doiSubjects--Topical Terms:

541785
Moment problems (Mathematics)

LC Class. No.: QA432

Dewey Class. No.: 515.723

Jacobi matrices and the moment problem
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245 1 0 $a Jacobi matrices and the moment problem $h [electronic resource] / $c by Yurij M. Berezansky, Mykola E. Dudkin.
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300 $a ix, 487 p. : $b illustrations, digital ; $c 24 cm.
490 1 $a Operator theory : advances and applications, $x 2296-4878 ; $v v. 294
520 $a 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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650 1 4 $a Operator Theory. $3 274795
650 2 4 $a Integral Transforms and Operational Calculus. $3 913382
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