Author: Nora Doll
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111172473
Category : Mathematics
Languages : en
Pages : 460

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Author: Roger Peyret
Publisher: Springer Science & Business Media
ISBN: 1475765576
Category : Mathematics
Languages : en
Pages : 438

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Book Description
This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flow, in clear and elementary terms. With many examples throughout, the work will be useful to those teaching at the graduate level, as well as to researchers working in the area.

Author: T. Suslina
Publisher: American Mathematical Soc.
ISBN: 9780821890776
Category : Mathematics
Languages : en
Pages : 318

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Book Description
"This volume is dedicated to the eightieth birthday of Professor M. Sh. Birman. It contains original articles in spectral and scattering theory of differential operators, in particular, Schrodinger operators, and in homogenization theory. All articles are written by members of M. Sh. Birman's research group who are affiliated with different universities all over the world. A specific feature of the majority of the papers is a combination of traditional methods with new modern ideas."--BOOK JACKET.

Author: Vladimir Nazaikinskii
Publisher: Springer Science & Business Media
ISBN: 3034805101
Category : Mathematics
Languages : en
Pages : 122

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Book Description
The book deals with the localization approach to the index problem for elliptic operators. Localization ideas have been widely used for solving various specific index problems for a long time, but the fact that there is actually a fundamental localization principle underlying all these solutions has mostly passed unnoticed. The ignorance of this general principle has often necessitated using various artificial tricks and hindered the solution of new important problems in index theory. So far, the localization principle has been only scarcely covered in journal papers and not covered at all in monographs. The suggested book is intended to fill the gap. So far, it is the first and only monograph dealing with the topic. Both the general localization principle and its applications to specific problems, existing and new, are covered. The book will be of interest to working mathematicians as well as graduate and postgraduate university students specializing in differential equations and related topics.​

Author: Alan Carey
Publisher: Springer Nature
ISBN: 3031194365
Category : Mathematics
Languages : en
Pages : 186

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Book Description
This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in these notes is the introduction of `spectral flow beyond the Fredholm case'. Creating a coherent picture of numerous investigations and scattered notions of the past 50 years, this work carefully introduces spectral flow, the Witten index and the spectral shift function and describes their relationship. After the introduction, Chapter 2 carefully reviews Double Operator Integrals, Chapter 3 describes the class of so-called p-relative trace class perturbations, followed by the construction of Krein's spectral shift function in Chapter 4. Chapter 5 reviews the analytic approach to spectral flow, culminating in Chapter 6 in the main abstract result of the book, namely the so-called principal trace formula. Chapter 7 completes the work with illustrations of the main results using explicit computations on two examples: the Dirac operator in Rd, and a differential operator on an interval. Throughout, attention is paid to the history of the subject and earlier references are provided accordingly. The book is aimed at experts in index theory as well as newcomers to the field.

Author: Seifallah Randjbar-daemi
Publisher: World Scientific
ISBN: 9814611891
Category :
Languages : en
Pages : 638

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Book Description
Contents:Lectures on RCFT (G. Moore & N. Seiberg)Some Statistical Mechanical Models and Conformal Field Theories (P Ginsparg)Lectures on N = 2 Superconformal Theories and Singularity Theory (N P Wamer)Lectures on N = 2 String Theory (D. Gepner)Compactification of Superstrings (MDine)Rolling among Calabi-Yau Vacua (P Candelas, P S Green & T Hubsch)Conformal Field Theory and Geometric Quantization (H. Verlinde & E. Verlinde)Universal Moduli Space and String Theory (A S Schwarz)Reparametrization BRS Cohomology in Two-Dimensional Gravity and Non-Critical String Theories (K Fujikawa)Sigma Models and Renormalization of String Loops (A A Tsey tlin)Baby Universes (A Strominger) Readership:

Author: Helmut Hofer
Publisher: Springer Nature
ISBN: 3031191110
Category : Mathematics
Languages : en
Pages : 1158

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Book Description
Over the course of his distinguished career, Claude Viterbo has made a number of groundbreaking contributions in the development of symplectic geometry/topology and Hamiltonian dynamics. The chapters in this volume – compiled on the occasion of his 60th birthday – are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.

Author: Kwong-yu Chan
Publisher: World Scientific
ISBN: 9814500100
Category : Mathematics
Languages : en
Pages : 599

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Book Description
Contents:My Early Life, 1913–1948 (Y-C Wong)On the Eigenvalues and Numerical Range of a Quaternionic Matrix (Y-H Au-Yeung)Monopoles as Fibre Bundles and Strings as Infinite Rank Tensors (H-M Chan & S T Tsou)Approximation by Affine Functions (J-T Chan)A Review on Optimal Design for Mixture Models (L-Y Chan)Griffiths' Formalism on the Calculus of Variations via Exterior Differential Systems (W-S Cheung)Change of Measures, Likelihood Ratio Martingales and Some Applications (T L Lai)Beyond the Impossibility of a 16-Square Identity (K Y Lam & P Yiu)Lie Group Homomorphisms which Induce Isomorphisms of Representation Rings (S P Lam)A Lifting Theorem, and Rings with Isomorphic Matrix Rings (T Y Lam)On Ternary Equations in Square-Free and Prime Variables (Y-L Lau, M-C Leung & M-C Liu)Instantons and Three-Manifolds (R Lee)Some Results on the c-Numerical Range (C-K Li & Y-T Poon)A Matrix Formulation of the Complex Flag Manifolds (Q-K Lu)The Integral Formulas of the Pontrjagin Characteristic Forms on an Oriented Differentiable Manifold (X-M Mei)On the Construction of Tensor Fields and Connections on the Frame Bundle (K P Mok)Cellular Manufacturing Systems: Formulation and Algorithmic Issues (S M Ng)Which Inscribed N-Gon in an Ellipse has the Longest Perimeter? (M K Siu & K M Tsang)Hyperbolicity Problems in Function Theory (Y-T Siu)Extreme Positive Operators on Convex Cones (B-S Tam)The Golden Mean and Its Way into Physics (B Y Tong) Readership: Students and scientists in mathematics. keywords:

Author: Bernhelm Booss
Publisher: World Scientific
ISBN: 9812568050
Category : Science
Languages : en
Pages : 553

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Book Description
Modern theory of elliptic operators, or simply elliptic theory, has been shaped by the Atiyah-Singer Index Theorem created 40 years ago. Reviewing elliptic theory over a broad range, 32 leading scientists from 14 different countries present recent developments in topology; heat kernel techniques; spectral invariants and cutting and pasting; noncommutative geometry; and theoretical particle, string and membrane physics, and Hamiltonian dynamics.The first of its kind, this volume is ideally suited to graduate students and researchers interested in careful expositions of newly-evolved achievements and perspectives in elliptic theory. The contributions are based on lectures presented at a workshop acknowledging Krzysztof P Wojciechowski's work in the theory of elliptic operators.

Author: Marius Mantoiu
Publisher: Birkhäuser
ISBN: 3319299921
Category : Mathematics
Languages : en
Pages : 259

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Book Description
The present volume contains the Proceedings of the International Conference on Spectral Theory and Mathematical Physics held in Santiago de Chile in November 2014. Main topics are: Ergodic Quantum Hamiltonians, Magnetic Schrödinger Operators, Quantum Field Theory, Quantum Integrable Systems, Scattering Theory, Semiclassical and Microlocal Analysis, Spectral Shift Function and Quantum Resonances. The book presents survey articles as well as original research papers on these topics. It will be of interest to researchers and graduate students in Mathematics and Mathematical Physics.