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Jacobi Matrices and the Moment Problem de Yurij M. Berezansky

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

Autor Yurij M. Berezansky, Mykola E. Dudkin
en Limba Engleză Hardback – 30 noi 2023
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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Specificații

ISBN-13: 9783031463860
ISBN-10: 3031463862
Pagini: 487
Ilustrații: IX, 487 p. 5 illus.
Dimensiuni: 155 x 235 mm
Greutate: 0.87 kg
Ediția:1st ed. 2023
Editura: Springer Nature Switzerland
Colecția Birkhäuser
Seria Operator Theory: Advances and Applications

Locul publicării:Cham, Switzerland

Cuprins

- 1. Introduction. - 2. Some Aspects of the Spectral Theory of Unbounded Operators. - 3. Jacobi Matrices and the Classical Moment Problem. - 4. The Strong Moment Problem. - 5. Block Jacobi Type Matrices in the Complex Moment Problem. - 6. Unitary Block Jacobi Type Matrices and the Trigonometric Moment Problem. - 7. Block Jacobi Type Matrices and the Complex Moment Problem in the Exponential Form. - 8. Block Jacobi Type Matrices and the Two Dimensional Real Moment Problem. - 9. Applications of the Spectral Theory of Jacobi Matrices and Their Generalizations to the Integration of Nonlinear Equations.

Textul de pe ultima copertă

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.

Caracteristici

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

Descriere

Descriere de la o altă ediție sau format:
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.