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Jacobi matrices and the moment problem

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Jacobi matrices and the moment problem/ by Yurij M. Berezansky, Mykola E. Dudkin.
作者:	Berezanskii, IU. M.
其他作者:	Dudkin, Mykola E.
出版者:	Cham :Springer Nature Switzerland : : 2023.,
面頁冊數:	ix, 487 p. :illustrations, digital ; : 24 cm.;
Contained By:	Springer Nature eBook
標題:	Integral Transforms and Operational Calculus. -
電子資源:	https://doi.org/10.1007/978-3-031-46387-7
ISBN:	9783031463877

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

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

1366597
Integral Transforms and Operational Calculus.

LC Class. No.: QA432

Dewey Class. No.: 515.723

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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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