Deformation Quantization Of Compact K Hler Manifolds Via Berezin Toeplitz Operators
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Deformation Quantization Of Compact K Hler Manifolds Via Berezin Toeplitz Operators
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Author : Martin Schlichenmaier
language : en
Publisher:
Release Date : 1996
Deformation Quantization Of Compact K Hler Manifolds Via Berezin Toeplitz Operators written by Martin Schlichenmaier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Spectral Geometry
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Author : Pierre H. Berard
language : en
Publisher: Springer
Release Date : 2006-11-14
Spectral Geometry written by Pierre H. Berard and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Jordan Algebras In Analysis Operator Theory And Quantum Mechanics
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Author : Harald Upmeier
language : en
Publisher: American Mathematical Soc.
Release Date : 1987
Jordan Algebras In Analysis Operator Theory And Quantum Mechanics written by Harald Upmeier 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 1987 with Mathematics categories.
Jordan algebras have found interesting applications in seemingly unrelated areas of mathematics such as operator theory, the foundations of quantum mechanics, complex analysis in finite and infinite dimensions, and harmonic analysis on homogeneous spaces. This book describes some relevant results and puts them in a general framework.
The Spectral Theory Of Toeplitz Operators
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Author : L. Boutet de Monvel
language : en
Publisher: Princeton University Press
Release Date : 1981-08-21
The Spectral Theory Of Toeplitz Operators written by L. Boutet de Monvel and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-08-21 with Mathematics categories.
The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For instance, Toeplitz operators possess a symbolic calculus analogous to the usual symbolic calculus, and by symbolic means one can construct parametrices for Toeplitz operators and create new Toeplitz operators out of old ones by functional operations. If P is a self-adjoint pseudodifferential operator on a compact manifold with an elliptic symbol that is of order greater than zero, then it has a discrete spectrum. Also, it is well known that the asymptotic behavior of its eigenvalues is closely related to the behavior of the bicharacteristic flow generated by its symbol. It is natural to ask if similar results are true for Toeplitz operators. In the course of answering this question, the authors explore in depth the analogies between Toeplitz operators and pseudodifferential operators and show that both can be viewed as the "quantized" objects associated with functions on compact contact manifolds.
A Brief Introduction To Berezin Toeplitz Operators On Compact K Hler Manifolds
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Author : Yohann Le Floch
language : en
Publisher: Springer
Release Date : 2018-10-02
A Brief Introduction To Berezin Toeplitz Operators On Compact K Hler Manifolds written by Yohann Le Floch and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-02 with Mathematics categories.
This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.
Deformation Quantization Of Compact K Hler Manifolds By Berezin Toeplitz Quantization
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Author : Martin Schlichenmaier
language : en
Publisher:
Release Date : 1999
Deformation Quantization Of Compact K Hler Manifolds By Berezin Toeplitz Quantization written by Martin Schlichenmaier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Groups And Geometric Analysis
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Author : Sigurdur Helgason
language : en
Publisher: American Mathematical Society
Release Date : 2022-03-17
Groups And Geometric Analysis written by Sigurdur Helgason 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 2022-03-17 with Mathematics categories.
Group-theoretic methods have taken an increasingly prominent role in analysis. Some of this change has been due to the writings of Sigurdur Helgason. This book is an introduction to such methods on spaces with symmetry given by the action of a Lie group. The introductory chapter is a self-contained account of the analysis on surfaces of constant curvature. Later chapters cover general cases of the Radon transform, spherical functions, invariant operators, compact symmetric spaces and other topics. This book, together with its companion volume, Geometric Analysis on Symmetric Spaces (AMS Mathematical Surveys and Monographs series, vol. 39, 1994), has become the standard text for this approach to geometric analysis. Sigurdur Helgason was awarded the Steele Prize for outstanding mathematical exposition for Groups and Geometric Analysis and Differential Geometry, Lie Groups and Symmetric Spaces.
A Brief Introduction To Berezin Toeplitz Operators On Compact K Hler Manifolds
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Author : Yohann Le Floch
language : en
Publisher:
Release Date : 2018
A Brief Introduction To Berezin Toeplitz Operators On Compact K Hler Manifolds written by Yohann Le Floch and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Kählerian manifolds categories.
This text provides a comprehensive introduction to Berezin–Toeplitz operators on compact Kähler manifolds. The heart of the book is devoted to a proof of the main properties of these operators which have been playing a significant role in various areas of mathematics such as complex geometry, topological quantum field theory, integrable systems, and the study of links between symplectic topology and quantum mechanics. The book is carefully designed to supply graduate students with a unique accessibility to the subject. The first part contains a review of relevant material from complex geometry. Examples are presented with explicit detail and computation; prerequisites have been kept to a minimum. Readers are encouraged to enhance their understanding of the material by working through the many straightforward exercises.--
A 25 Year Perspective On Logic Programming
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Author : Agostino Dovier
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-06-30
A 25 Year Perspective On Logic Programming written by Agostino Dovier 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 2010-06-30 with Computers categories.
This book celebratesthe 25th anniversaryof GULP—the Italian Associationfor LogicProgramming.Authored by Italian researchersat the leading edge of their ?elds, it presents an up-to-date survey of a broad collection of topics in logic programming, making it a useful reference for both researchers and students. During its 25-year existence, GULP has organised a wide range of national and international activities, including both conferences and summer schools. It has been especially active in supporting and encouraging young researchers, by providing scholarships for GULP events and awarding distinguished disser- tions. WeintheinternationallogicprogrammingcommunitylookuponGULPwith a combination of envy, admiration and gratitude. We are pleased to attend its conferences and summer schools, where we can learn about scienti?c advances, catch up with old friends and meet young students. It is an honour for me to acknowledge our appreciation to GULP for its outstanding contributions to our ?eld and to express our best wishes for its continuing prosperity in the future. March 2010 Robert Kowalski Imperial College London Preface On June 18, 1985, a group of pioneering researchers, including representatives from industry, national research labs, and academia, attended the constituent assembly of the Group of researchers and Users of Logic Programming (GULP) association. That was the starting point of a long adventure in science, that 1 we are still experiencing 25 years later. This volume celebrates this important event.
Graphs And Matrices
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Author : Ravindra B. Bapat
language : en
Publisher: Springer
Release Date : 2014-09-19
Graphs And Matrices written by Ravindra B. Bapat and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-19 with Mathematics categories.
This new edition illustrates the power of linear algebra in the study of graphs. The emphasis on matrix techniques is greater than in other texts on algebraic graph theory. Important matrices associated with graphs (for example, incidence, adjacency and Laplacian matrices) are treated in detail. Presenting a useful overview of selected topics in algebraic graph theory, early chapters of the text focus on regular graphs, algebraic connectivity, the distance matrix of a tree, and its generalized version for arbitrary graphs, known as the resistance matrix. Coverage of later topics include Laplacian eigenvalues of threshold graphs, the positive definite completion problem and matrix games based on a graph. Such an extensive coverage of the subject area provides a welcome prompt for further exploration. The inclusion of exercises enables practical learning throughout the book. In the new edition, a new chapter is added on the line graph of a tree, while some results in Chapter 6 on Perron-Frobenius theory are reorganized. Whilst this book will be invaluable to students and researchers in graph theory and combinatorial matrix theory, it will also benefit readers in the sciences and engineering.