Jacobi Matrices and the Moment Problem

Yurij M. Berezansky, Mykola E. Dudkin (Autoren)

Buch | Hardcover

IX, 487 Seiten

2023 | 1st ed. 2023
Springer International Publishing (Verlag)
978-3-031-46386-0 (ISBN)

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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.

- 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.

Erscheinungsdatum	01.12.2023
Reihe/Serie	Operator Theory: Advances and Applications
Übersetzer	Mykola E. Dudkin
Zusatzinfo	IX, 487 p. 5 illus.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	907 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Block Jacobi Type Matrices • Hamburger moment problem • inverse spectral problem • Strong Moment Problem • unbounded operators
ISBN-10	3-031-46386-2 / 3031463862
ISBN-13	978-3-031-46386-0 / 9783031463860
Zustand	Neuware