Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications

Idioma: inglés

Editorial: Birkhäuser, Palgrave Macmillan Jun 2015, 2015

3319170694 / 9783319170695

Serie: Libro 92 de 132 - Operator Theory: Advances and Applications

Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemaniabuchversandmimpf2000

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This item is printed on demand - Print on Demand Titel. Neuware -The theoretical part of this monograph examines the distribution of the spectrum of operator polynomials, focusing on quadratic operator polynomials with discrete spectra. The second part is devoted to applications. Standard spectral problems in Hilbert spaces are of the form A-¿I for an operator A, and self-adjoint operators are of particular interest and importance, both theoretically and in terms of applications. A characteristic feature of self-adjoint operators is that their spectra are real, and many spectral problems in theoretical physics and engineering can be described by using them. However, a large class of problems, in particular vibration problems with boundary conditions depending on the spectral parameter, are represented by operator polynomials that are quadratic in the eigenvalue parameter and whose coefficients are self-adjoint operators. The spectra of such operator polynomials are in general no more real, but still exhibit certain patterns. The distribution of these spectra is the main focus of the present volume. For some classes of quadratic operator polynomials, inverse problems are also considered. The connection between the spectra of such quadratic operator polynomials and generalized Hermite-Biehler functions is discussed in detail.Many applications are thoroughly investigated, such as the Regge problem and damped vibrations of smooth strings, Stieltjes strings, beams, star graphs of strings and quantum graphs. Some chapters summarize advanced background material, which is supplemented with detailed proofs. With regard to the reader¿s background knowledge, only the basic properties of operators in Hilbert spaces and well-known results from complex analysis are assumed.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 432 pp. Englisch.…

N° de ref. del artículo 9783319170695

Título
Spectral Theory of Operator Pencils, Hermite-Biehler Functions, and their Applications
Autor
Manfred Möller
Editorial
Birkhäuser, Palgrave Macmillan Jun 2015
Año de publicación
2015
Estado
Neu
Encuadernación
Buch
Idioma
inglés
ISBN 10
3319170694
ISBN 13
9783319170695
Peso del artículo
811 gramos
Dimensiones
241x160x29 mm
Serie
Libro 92 de 132: Operator Theory: Advances and Applications

buchversandmimpf2000

Emtmannsberg, BAYE, Alemania

Vendedor de 5 estrellas

Vendedor de IberLibro desde 23 de enero de 2017

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