Analytic Methods Of Spectral Representations Of Non Selfadjoint And Non Unitary Operators

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Analytic Methods Of Spectral Representations Of Non Selfadjoint Non Unitary Operators

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Author : Vladimir A. Zolotarev
language : en
Publisher: Springer Nature
Release Date : 2025-05-03

Analytic Methods Of Spectral Representations Of Non Selfadjoint Non Unitary Operators written by Vladimir A. Zolotarev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-05-03 with Mathematics categories.

This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax–Phillips scattering theory. Here, a uniform conceptual approach is developed which organically unites all these theories. New analytic methods are introduced which make it possible to solve some important problems from the theory of spectral representations. Aimed at specialists in functional analysis, the book will also be accessible to senior mathematics students.

Analytic Methods Of Spectral Representations Of Non Selfadjoint And Non Unitary Operators

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Author : Volodimir Oleksìjovič Zolotarʹov
language : en
Publisher:
Release Date : 2020

Analytic Methods Of Spectral Representations Of Non Selfadjoint And Non Unitary Operators written by Volodimir Oleksìjovič Zolotarʹov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.

Spectral Analysis Of Differential Operators Interplay Between Spectral And Oscillatory Properties

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Author : Fedor S Rofe-beketov
language : en
Publisher: World Scientific
Release Date : 2005-08-29

Spectral Analysis Of Differential Operators Interplay Between Spectral And Oscillatory Properties written by Fedor S Rofe-beketov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-29 with Mathematics categories.

This is the first monograph devoted to the Sturm oscillatory theory for infinite systems of differential equations and its relations with the spectral theory. It aims to study a theory of self-adjoint problems for such systems, based on an elegant method of binary relations. Another topic investigated in the book is the behavior of discrete eigenvalues which appear in spectral gaps of the Hill operator and almost periodic Schrödinger operators due to local perturbations of the potential (e.g., modeling impurities in crystals).The book is based on results that have not been presented in other monographs. The only prerequisites needed to read it are basics of ordinary differential equations and operator theory. It should be accessible to graduate students, though its main topics are of interest to research mathematicians working in functional analysis, differential equations and mathematical physics, as well as to physicists interested in spectral theory of differential operators.

Encyclopaedia Of Mathematics

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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Encyclopaedia Of Mathematics written by Michiel Hazewinkel 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 2013-12-01 with Mathematics categories.

This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Operator Theory Analysis And Mathematical Physics

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Author : Jan Janas
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-04-29

Operator Theory Analysis And Mathematical Physics written by Jan Janas 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 2007-04-29 with Mathematics categories.

This volume contains lectures delivered at the International Conference Operator Theory and its Applications in Mathematical Physics (OTAMP 2004), held at the Mathematical Research and Conference Center in Bedlewo near Poznan, Poland. The idea behind these lectures was to present interesting ramifications of operator methods in current research of mathematical physics.

From Complex Analysis To Operator Theory A Panorama

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Author : Malcolm Brown
language : en
Publisher: Springer Nature
Release Date : 2023-09-21

From Complex Analysis To Operator Theory A Panorama written by Malcolm Brown and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-21 with Mathematics categories.

This volume is dedicated to the memory of Sergey Naboko (1950-2020). In addition to original research contributions covering the vast areas of interest of Sergey Naboko, it includes personal reminiscences and comments on the works and legacy of Sergey Naboko’s scientific achievements. Areas from complex analysis to operator theory, especially, spectral theory, are covered, and the papers will inspire current and future researchers in these areas.

Encyclopaedia Of Mathematics Supplement Iii

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Author : Michiel Hazewinkel
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-11-23

Encyclopaedia Of Mathematics Supplement Iii written by Michiel Hazewinkel 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 2007-11-23 with Mathematics categories.

This is the third supplementary volume to Kluwer's highly acclaimed twelve-volume Encyclopaedia of Mathematics. This additional volume contains nearly 500 new entries written by experts and covers developments and topics not included in the previous volumes. These entries are arranged alphabetically throughout and a detailed index is included. This supplementary volume enhances the existing twelve volumes, and together, these thirteen volumes represent the most authoritative, comprehensive and up-to-date Encyclopaedia of Mathematics available.

Partial Differential Equations Viii

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Author : M.A. Shubin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Partial Differential Equations Viii 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 2012-12-06 with Mathematics categories.

This volume of the EMS contains three articles, on linear overdetermined systems of partial differential equations, dissipative Schroedinger operators, and index theorems. Each article presents a comprehensive survey of its subject, discussing fundamental results such as the construction of compatibility operators and complexes for elliptic, parabolic and hyperbolic coercive problems, the method of functional models and the Atiyah-Singer index theorem and its generalisations. Both classical and recent results are explained in detail and illustrated by means of examples.

Encyclopaedia Of Mathematics

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Author : M. Hazewinkel
language : en
Publisher: Springer
Release Date : 2013-12-01

Encyclopaedia Of Mathematics written by M. Hazewinkel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-01 with Mathematics categories.

Operator Theory And Interpolation

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Author : Hari Bercovic
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Operator Theory And Interpolation written by Hari Bercovic and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

Systems and control theories use sophisticated operator theoretical methods. They also provide new ideas and problems in operator theory. As a consequence, the biannual MTNS (Mathematical Theory of Networks and Systems) conference is attended by many operator theorists. At the initiative of J.W. Helton and I. Gohberg, an International Workshop on Operator Theory and Applications (IWOTA) has been organized since the early 80s, as a satellite of MTNS. The articles in this volume originated from the IWOTA conference held at Indiana University, Bloomington, in June 1996. They represent most of the areas that were discussed at the workshop with some emphasis on modern interpolation theory, a topic which has seen much progress in recent years. The contributions were, as usual, subject to a thorough refereeing process and will bring the reader to the forefront of current research in this area.