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Mathematical Physics Spectral Theory And Stochastic Analysis


Mathematical Physics Spectral Theory And Stochastic Analysis
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Mathematical Physics Spectral Theory And Stochastic Analysis


Mathematical Physics Spectral Theory And Stochastic Analysis
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Author : Michael Demuth
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-07-08

Mathematical Physics Spectral Theory And Stochastic Analysis written by Michael Demuth 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 2014-07-08 with Mathematics categories.


This volume presents self-contained survey articles on modern research areas written by experts in their fields. The topics are located at the interface of spectral theory, theory of partial differential operators, stochastic analysis, and mathematical physics. The articles are accessible to graduate students and researches from other fields of mathematics or physics while also being of value to experts, as they report on the state of the art in the respective fields.



Non Linear Partial Differential Equations Mathematical Physics And Stochastic Analysis


Non Linear Partial Differential Equations Mathematical Physics And Stochastic Analysis
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Author : Nils Henrik Risebro
language : en
Publisher:
Release Date :

Non Linear Partial Differential Equations Mathematical Physics And Stochastic Analysis written by Nils Henrik Risebro and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Mathematical Results In Quantum Mechanics Proceedings Of The Qmath12 Conference With Dvd Rom


Mathematical Results In Quantum Mechanics Proceedings Of The Qmath12 Conference With Dvd Rom
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Author : Pavel Exner
language : en
Publisher: World Scientific
Release Date : 2014-11-13

Mathematical Results In Quantum Mechanics Proceedings Of The Qmath12 Conference With Dvd Rom written by Pavel Exner and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-13 with Mathematics categories.


The book provides a comprehensive overview on the state of the art of the quantum part of mathematical physics. In particular, it contains contributions to the spectral theory of Schrödinger and random operators, quantum field theory, relativistic quantum mechanics and interacting many-body systems.It also presents an overview on the achievements in mathematical physics since the last conference QMath11 held at Hradec Kralove, Czechia in 2010.



Operator Theory Function Spaces And Applications


Operator Theory Function Spaces And Applications
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Author : Tanja Eisner
language : en
Publisher: Birkhäuser
Release Date : 2016-09-24

Operator Theory Function Spaces And Applications written by Tanja Eisner and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-24 with Mathematics categories.


This volume collects a selected number of papers presented at the International Workshop on Operator Theory and its Applications (IWOTA) held in July 2014 at Vrije Universiteit in Amsterdam. Main developments in the broad area of operator theory are covered, with special emphasis on applications to science and engineering. The volume also presents papers dedicated to the eightieth birthday of Damir Arov and to the sixty-fifth birthday of Leiba Rodman, both leading figures in the area of operator theory and its applications, in particular, to systems theory.



Discrete And Continuous Models In The Theory Of Networks


Discrete And Continuous Models In The Theory Of Networks
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Author : Fatihcan M. Atay
language : en
Publisher: Springer Nature
Release Date : 2020-09-03

Discrete And Continuous Models In The Theory Of Networks written by Fatihcan M. Atay and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-09-03 with Mathematics categories.


This book contains contributions from the participants of the research group hosted by the ZiF - Center for Interdisciplinary Research at the University of Bielefeld during the period 2013-2017 as well as from the conclusive conference organized at Bielefeld in December 2017. The contributions consist of original research papers: they mirror the scientific developments fostered by this research program or the state-of-the-art results presented during the conclusive conference. The volume covers current research in the areas of operator theory and dynamical systems on networks and their applications, indicating possible future directions. The book will be interesting to researchers focusing on the mathematical theory of networks; it is unique as, for the first time, continuous network models - a subject that has been blooming in the last twenty years - are studied alongside more classical and discrete ones. Thus, instead of two different worlds often growing independently without much intercommunication, a new path is set, breaking with the tradition. The fruitful and beneficial exchange of ideas and results of both communities is reflected in this book.



Mathematical Physics Of Quantum Mechanics


Mathematical Physics Of Quantum Mechanics
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Author : Joachim Asch
language : en
Publisher: Springer
Release Date : 2006-09-09

Mathematical Physics Of Quantum Mechanics written by Joachim Asch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-09 with Science categories.


At the QMath9 meeting, young scientists learn about the state of the art in the mathematical physics of quantum systems. Based on that event, this book offers a selection of outstanding articles written in pedagogical style comprising six sections which cover new techniques and recent results on spectral theory, statistical mechanics, Bose-Einstein condensation, random operators, magnetic Schrödinger operators and much more. For postgraduate students, Mathematical Physics of Quantum Systems serves as a useful introduction to the research literature. For more expert researchers, this book will be a concise and modern source of reference.



Partial Differential Equations And Spectral Theory


Partial Differential Equations And Spectral Theory
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Author : Michael Demuth
language : en
Publisher: Springer Science & Business Media
Release Date : 2001

Partial Differential Equations And Spectral Theory written by Michael Demuth 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 2001 with Mathematics categories.


The intention of the international conference PDE2000 was to bring together specialists from different areas of modern analysis, mathematical physics and geometry, to discuss not only the recent progress in their own fields but also the interaction between these fields. The special topics of the conference were spectral and scattering theory, semiclassical and asymptotic analysis, pseudodifferential operators and their relation to geometry, as well as partial differential operators and their connection to stochastic analysis and to the theory of semigroups. The scientific advisory board of the conference in Clausthal consisted of M. Ben-Artzi (Jerusalem), Chen Hua (Peking), M. Demuth (Clausthal), T. Ichinose (Kanazawa), L. Rodino (Turin), B.-W. Schulze (Potsdam) and J. Sjöstrand (Paris). The book is aimed at researchers in mathematics and mathematical physics with interests in partial differential equations and all its related fields.



Nine Mathematical Challenges An Elucidation


Nine Mathematical Challenges An Elucidation
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Author : A. Kechris
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-09-24

Nine Mathematical Challenges An Elucidation written by A. Kechris 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 2021-09-24 with Education categories.


This volume stems from the Linde Hall Inaugural Math Symposium, held from February 22–24, 2019, at California Institute of Technology, Pasadena, California. The content isolates and discusses nine mathematical problems, or sets of problems, in a deep way, but starting from scratch. Included among them are the well-known problems of the classification of finite groups, the Navier-Stokes equations, the Birch and Swinnerton-Dyer conjecture, and the continuum hypothesis. The other five problems, also of substantial importance, concern the Lieb–Thirring inequalities, the equidistribution problems in number theory, surface bundles, ramification in covers and curves, and the gap and type problems in Fourier analysis. The problems are explained succinctly, with a discussion of what is known and an elucidation of the outstanding issues. An attempt is made to appeal to a wide audience, both in terms of the field of expertise and the level of the reader.



Operator Theory


Operator Theory
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Author : Barry Simon
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-12-04

Operator Theory written by Barry Simon 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 2015-12-04 with Mathematics categories.


A Comprehensive Course in Analysis by Poincaré Prize winner Barry Simon is a five-volume set that can serve as a graduate-level analysis textbook with a lot of additional bonus information, including hundreds of problems and numerous notes that extend the text and provide important historical background. Depth and breadth of exposition make this set a valuable reference source for almost all areas of classical analysis. Part 4 focuses on operator theory, especially on a Hilbert space. Central topics are the spectral theorem, the theory of trace class and Fredholm determinants, and the study of unbounded self-adjoint operators. There is also an introduction to the theory of orthogonal polynomials and a long chapter on Banach algebras, including the commutative and non-commutative Gel'fand-Naimark theorems and Fourier analysis on general locally compact abelian groups.



Trotter Kato Product Formul


Trotter Kato Product Formul
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Author : Valentin A. Zagrebnov
language : en
Publisher: Springer Nature
Release Date : 2024-06-11

Trotter Kato Product Formul written by Valentin A. Zagrebnov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-11 with Mathematics categories.


The book captures a fascinating snapshot of the current state of results about the operator-norm convergent Trotter-Kato Product Formulæ on Hilbert and Banach spaces. It also includes results on the operator-norm convergent product formulæ for solution operators of the non-autonomous Cauchy problems as well as similar results on the unitary and Zeno product formulæ. After the Sophus Lie product formula for matrices was established in 1875, it was generalised to Hilbert and Banach spaces for convergence in the strong operator topology by H. Trotter (1959) and then in an extended form by T. Kato (1978). In 1993 Dzh. L. Rogava discovered that convergence of the Trotter product formula takes place in the operator-norm topology. The latter is the main subject of this book, which is dedicated essentially to the operator-norm convergent Trotter-Kato Product Formulæ on Hilbert and Banach spaces, but also to related results on the time-dependent, unitary and Zeno product formulæ. The book yields a detailed up-to-date introduction into the subject that will appeal to any reader with a basic knowledge of functional analysis and operator theory. It also provides references to the rich literature and historical remarks.