Introduction To The Theory Of Linear Nonselfadjoint Operators By I C Gohberg And M G Krein Translated From The Russian By A Feinstein
DOWNLOAD
Download Introduction To The Theory Of Linear Nonselfadjoint Operators By I C Gohberg And M G Krein Translated From The Russian By A Feinstein PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Introduction To The Theory Of Linear Nonselfadjoint Operators By I C Gohberg And M G Krein Translated From The Russian By A Feinstein book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Spectral Theory Of Operator Pencils Hermite Biehler Functions And Their Applications
DOWNLOAD
Author : Manfred Möller
language : en
Publisher: Birkhäuser
Release Date : 2015-06-11
Spectral Theory Of Operator Pencils Hermite Biehler Functions And Their Applications written by Manfred Möller and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-11 with Mathematics categories.
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-λI 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.
Spectral Analysis Differential Equations And Mathematical Physics A Festschrift In Honor Of Fritz Gesztesy S 60th Birthday
DOWNLOAD
Author : Helge Holden
language : en
Publisher: American Mathematical Soc.
Release Date : 2013-07-08
Spectral Analysis Differential Equations And Mathematical Physics A Festschrift In Honor Of Fritz Gesztesy S 60th Birthday written by Helge Holden and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-08 with Mathematics categories.
This volume contains twenty contributions in the area of mathematical physics where Fritz Gesztesy made profound contributions. There are three survey papers in spectral theory, differential equations, and mathematical physics, which highlight, in particu
Pseudodifferential Operators And Spectral Theory
DOWNLOAD
Author : M.A. Shubin
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28
Pseudodifferential Operators And Spectral Theory written by M.A. Shubin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-28 with Mathematics categories.
I had mixed feelings when I thought how I should prepare the book for the second edition. It was clear to me that I had to correct all mistakes and misprints that were found in the book during the life of the first edition. This was easy to do because the mistakes were mostly minor and easy to correct, and the misprints were not many. It was more difficult to decide whether I should update the book (or at least its bibliography) somehow. I decided that it did not need much of an updating. The main value of any good mathematical book is that it teaches its reader some language and some skills. It can not exhaust any substantial topic no matter how hard the author tried. Pseudodifferential operators became a language and a tool of analysis of partial differential equations long ago. Therefore it is meaningless to try to exhaust this topic. Here is an easy proof. As of July 3, 2000, MathSciNet (the database of the American Mathematical Society) in a few seconds found 3695 sources, among them 363 books, during its search for "pseudodifferential operator". (The search also led to finding 963 sources for "pseudo-differential operator" but I was unable to check how much the results ofthese two searches intersected). This means that the corresponding words appear either in the title or in the review published in Mathematical Reviews.
Linear Algebra In Action
DOWNLOAD
Author : Harry Dym
language : en
Publisher: American Mathematical Society
Release Date : 2023-07-18
Linear Algebra In Action written by Harry Dym and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-18 with Mathematics categories.
This book is based largely on courses that the author taught at the Feinberg Graduate School of the Weizmann Institute. It conveys in a user-friendly way the basic and advanced techniques of linear algebra from the point of view of a working analyst. The techniques are illustrated by a wide sample of applications and examples that are chosen to highlight the tools of the trade. In short, this is material that the author has found to be useful in his own research and wishes that he had been exposed to as a graduate student. Roughly the first quarter of the book reviews the contents of a basic course in linear algebra, plus a little. The remaining chapters treat singular value decompositions, convexity, special classes of matrices, projections, assorted algorithms, and a number of applications. The applications are drawn from vector calculus, numerical analysis, control theory, complex analysis, convex optimization, and functional analysis. In particular, fixed point theorems, extremal problems, best approximations, matrix equations, zero location and eigenvalue location problems, matrices with nonnegative entries, and reproducing kernels are discussed. This new edition differs significantly from the second edition in both content and style. It includes a number of topics that did not appear in the earlier edition and excludes some that did. Moreover, most of the material that has been adapted from the earlier edition has been extensively rewritten and reorganized.
Introduction To The Theory Of Linear Nonselfadjoint Operators By I C Gohberg And M G Krein Translated From The Russian By A Feinstein
DOWNLOAD
Author : Izrailʹ T︠S︡udikovich Gokhberg
language : en
Publisher:
Release Date : 1969
Introduction To The Theory Of Linear Nonselfadjoint Operators By I C Gohberg And M G Krein Translated From The Russian By A Feinstein written by Izrailʹ T︠S︡udikovich Gokhberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Linear operators categories.
Spectral Theory Of Non Self Adjoint Dirac Operators And Other Dispersive Models
DOWNLOAD
Author : Nico Michele Schiavone
language : en
Publisher: Sapienza Università Editrice
Release Date : 2025-03-31
Spectral Theory Of Non Self Adjoint Dirac Operators And Other Dispersive Models written by Nico Michele Schiavone and has been published by Sapienza Università Editrice this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-03-31 with Mathematics categories.
Winner of the Competition “Prize for PhD Thesis 2023” arranged by Sapienza University Press. Since the turn of the millennium, there has been growing interest in the study of non-self-adjoint operators in Quantum Mechanics, driven by both their physical relevance and mathematical challenges. The first part of this book focuses on the spectral theory of non-selfadjoint operators, particularly the Dirac operators, and the confinement of their eigenvalues within compact regions of the complex plane. The second part shifts to the study of nonlinear hyperbolic equations with time-dependent coefficients and small initial data, exploring blowup phenomena, critical exponents, and lifespan estimates.
Spectral Geometry Of Partial Differential Operators
DOWNLOAD
Author : Michael Ruzhansky
language : en
Publisher: CRC Press
Release Date : 2020-02-07
Spectral Geometry Of Partial Differential Operators written by Michael Ruzhansky and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-07 with Mathematics categories.
The aim of Spectral Geometry of Partial Differential Operators is to provide a basic and self-contained introduction to the ideas underpinning spectral geometric inequalities arising in the theory of partial differential equations. Historically, one of the first inequalities of the spectral geometry was the minimization problem of the first eigenvalue of the Dirichlet Laplacian. Nowadays, this type of inequalities of spectral geometry have expanded to many other cases with number of applications in physics and other sciences. The main reason why the results are useful, beyond the intrinsic interest of geometric extremum problems, is that they produce a priori bounds for spectral invariants of (partial differential) operators on arbitrary domains. Features: Collects the ideas underpinning the inequalities of the spectral geometry, in both self-adjoint and non-self-adjoint operator theory, in a way accessible by anyone with a basic level of understanding of linear differential operators Aimed at theoretical as well as applied mathematicians, from a wide range of scientific fields, including acoustics, astronomy, MEMS, and other physical sciences Provides a step-by-step guide to the techniques of non-self-adjoint partial differential operators, and for the applications of such methods. Provides a self-contained coverage of the traditional and modern theories of linear partial differential operators, and does not require a previous background in operator theory.
Nonlinear Dirac Equation Spectral Stability Of Solitary Waves
DOWNLOAD
Author : Nabile Boussaïd
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-11-21
Nonlinear Dirac Equation Spectral Stability Of Solitary Waves written by Nabile Boussaïd and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-21 with Education categories.
This monograph gives a comprehensive treatment of spectral (linear) stability of weakly relativistic solitary waves in the nonlinear Dirac equation. It turns out that the instability is not an intrinsic property of the Dirac equation that is only resolved in the framework of the second quantization with the Dirac sea hypothesis. Whereas general results about the Dirac-Maxwell and similar equations are not yet available, we can consider the Dirac equation with scalar self-interaction, the model first introduced in 1938. In this book we show that in particular cases solitary waves in this model may be spectrally stable (no linear instability). This result is the first step towards proving asymptotic stability of solitary waves. The book presents the necessary overview of the functional analysis, spectral theory, and the existence and linear stability of solitary waves of the nonlinear Schrödinger equation. It also presents the necessary tools such as the limiting absorption principle and the Carleman estimates in the form applicable to the Dirac operator, and proves the general form of the Dirac-Pauli theorem. All of these results are used to prove the spectral stability of weakly relativistic solitary wave solutions of the nonlinear Dirac equation.
Geometric Aspects Of Functional Analysis
DOWNLOAD
Author : Bo'az Klartag
language : en
Publisher: Springer Nature
Release Date : 2020-06-20
Geometric Aspects Of Functional Analysis written by Bo'az Klartag and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-20 with Mathematics categories.
Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest examples of regularity and order in high dimensions. Central to the text is the study of the Poincaré and log-Sobolev functional inequalities, their reverses, and other inequalities, in which a crucial role is often played by convexity assumptions such as Log-Concavity. The concept and properties of Entropy form an important subject, with Bourgain's slicing problem and its variants drawing much attention. Constructions related to Convexity Theory are proposed and revisited, as well as inequalities that go beyond the Brunn–Minkowski theory. One of the major current research directions addressed is the identification of lower-dimensional structures with remarkable properties in rather arbitrary high-dimensional objects. In addition to functional analytic results, connections to Computer Science and to Differential Geometry are also discussed.
The Theory Of H B Spaces
DOWNLOAD
Author : Emmanuel Fricain
language : en
Publisher: Cambridge University Press
Release Date : 2016-05-26
The Theory Of H B Spaces written by Emmanuel Fricain and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-05-26 with Mathematics categories.
This is volume 1 of a 2 volume set.