Compact and Finite Rank Perturbations of Selfadjoint Operators in Krein Spaces with Applications to Boundary Eigenvalue Problems PDF Download
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Author: Jussi Behrndt
Publisher: Cuvillier Verlag
ISBN: 3865374352
Category :
Languages : en
Pages : 101
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Book Description
Author: Jussi Behrndt
Publisher: Cuvillier Verlag
ISBN: 3865374352
Category :
Languages : en
Pages : 101
Get Book Here
Book Description
Author: Jussi Behrndt
Publisher: Springer Science & Business Media
ISBN: 3034601808
Category : Mathematics
Languages : en
Pages : 315
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Book Description
The present book is a memorial volume devoted to Peter Jonas. It displays recent advances in modern operator theory in Hilbert and Krein spaces and contains a collection of original research papers written by many well-known specialists in this field. The papers contain new results for problems close to the area of research of Peter Jonas: Spectral and perturbation problems for operators in inner product spaces, generalized Nevanlinna functions and definitizable functions, scattering theory, extension theory for symmetric operators, fixed points, hyperbolic matrix polynomials, moment problems, indefinite spectral and Sturm-Liouville problems, and invariant subspace problems. This book is written for researchers and postgraduates interested in functional analysis and differential operators.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 1884
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Book Description
Author:
Publisher:
ISBN:
Category : Operator theory
Languages : en
Pages : 652
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Book Description
Author: Die deutsche Nationalbibliothek
Publisher:
ISBN:
Category :
Languages : de
Pages : 944
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Book Description
Author: Tosio Kato
Publisher: Springer Science & Business Media
ISBN: 3662126788
Category : Mathematics
Languages : en
Pages : 610
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Book Description
Author: Gregory Berkolaiko
Publisher: American Mathematical Soc.
ISBN: 0821892118
Category : Mathematics
Languages : en
Pages : 291
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Book Description
A ``quantum graph'' is a graph considered as a one-dimensional complex and equipped with a differential operator (``Hamiltonian''). Quantum graphs arise naturally as simplified models in mathematics, physics, chemistry, and engineering when one considers propagation of waves of various nature through a quasi-one-dimensional (e.g., ``meso-'' or ``nano-scale'') system that looks like a thin neighborhood of a graph. Works that currently would be classified as discussing quantum graphs have been appearing since at least the 1930s, and since then, quantum graphs techniques have been applied successfully in various areas of mathematical physics, mathematics in general and its applications. One can mention, for instance, dynamical systems theory, control theory, quantum chaos, Anderson localization, microelectronics, photonic crystals, physical chemistry, nano-sciences, superconductivity theory, etc. Quantum graphs present many non-trivial mathematical challenges, which makes them dear to a mathematician's heart. Work on quantum graphs has brought together tools and intuition coming from graph theory, combinatorics, mathematical physics, PDEs, and spectral theory. This book provides a comprehensive introduction to the topic, collecting the main notions and techniques. It also contains a survey of the current state of the quantum graph research and applications.
Author: Gerald Teschl
Publisher: American Mathematical Soc.
ISBN: 0821819402
Category : Mathematics
Languages : en
Pages : 373
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Book Description
This volume serves as an introduction and reference source on spectral and inverse theory of Jacobi operators and applications of these theories to the Toda and Kac-van Moerbeke hierarchy.
Author: Pierre H. Berard
Publisher: Springer
ISBN: 3540409580
Category : Mathematics
Languages : en
Pages : 284
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Book Description
Author: Barry Simon
Publisher: American Mathematical Soc.
ISBN: 0821849883
Category : Mathematics
Languages : en
Pages : 162
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Book Description
From a review of the first edition: Beautifully written and well organized ... indispensable for those interested in certain areas of mathematical physics ... for the expert and beginner alike. The author deserves to be congratulated both for his work in unifying a subject and for showing workers in the field new directions for future development. --Zentralblatt MATH This is a second edition of a well-known book on the theory of trace ideals in the algebra of operators in a Hilbert space. Because of the theory's many different applications, the book was widely used and much in demand. For this second edition, the author has added four chapters on the closely related theory of rank one perturbations of self-adjoint operators. He has also included a comprehensive index and an addendum describing some developments since the original notes were published. This book continues to be a vital source of information for those interested in the theory of trace ideals and in its applications to various areas of mathematical physics.
