Spectral Flow
| Author | : Nora Doll |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 460 |
| Release | : 2023-06-19 |
| Genre | : Mathematics |
| ISBN | : 3111172473 |
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Spectral Flow
| Author | : Nora Doll |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 590 |
| Release | : 2023-06-19 |
| Genre | : Mathematics |
| ISBN | : 3111173089 |
Download Spectral Flow Book in PDF, ePub and Kindle
This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semifinite sense. The importance of spectral flow for homotopy and index theory is discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory.
Spectral Theory of Differential Operators
| Author | : T. Suslina |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 318 |
| Release | : 2008-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780821890776 |
Download Spectral Theory of Differential Operators Book in PDF, ePub and Kindle
"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.
Spectral Methods for Incompressible Viscous Flow
| Author | : Roger Peyret |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 438 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 1475765576 |
Download Spectral Methods for Incompressible Viscous Flow Book in PDF, ePub and Kindle
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.
The Localization Problem in Index Theory of Elliptic Operators
| Author | : Vladimir Nazaikinskii |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 122 |
| Release | : 2013-11-26 |
| Genre | : Mathematics |
| ISBN | : 3034805101 |
Download The Localization Problem in Index Theory of Elliptic Operators Book in PDF, ePub and Kindle
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.
Elliptic Theory on Singular Manifolds
| Author | : Vladimir E. Nazaikinskii |
| Publisher | : CRC Press |
| Total Pages | : 372 |
| Release | : 2005-08-12 |
| Genre | : Mathematics |
| ISBN | : 1420034979 |
Download Elliptic Theory on Singular Manifolds Book in PDF, ePub and Kindle
The analysis and topology of elliptic operators on manifolds with singularities are much more complicated than in the smooth case and require completely new mathematical notions and theories. While there has recently been much progress in the field, many of these results have remained scattered in journals and preprints. Starting from an ele
Index Theory Beyond the Fredholm Case
| Author | : Alan Carey |
| Publisher | : Springer Nature |
| Total Pages | : 186 |
| Release | : 2022-11-30 |
| Genre | : Mathematics |
| ISBN | : 3031194365 |
Download Index Theory Beyond the Fredholm Case Book in PDF, ePub and Kindle
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.
Superstrings '89 - Proceedings Of The Trieste Spring School
| Author | : Seifallah Randjbar-daemi |
| Publisher | : World Scientific |
| Total Pages | : 638 |
| Release | : 1990-04-01 |
| Genre | : |
| ISBN | : 9814611891 |
Download Superstrings '89 - Proceedings Of The Trieste Spring School Book in PDF, ePub and Kindle
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:
Symplectic Geometry
| Author | : Helmut Hofer |
| Publisher | : Springer Nature |
| Total Pages | : 1158 |
| Release | : 2022-12-05 |
| Genre | : Mathematics |
| ISBN | : 3031191110 |
Download Symplectic Geometry Book in PDF, ePub and Kindle
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.
Five Decades As A Mathematician And Educator: On The 80th Birthday Of Professor Yung-chow Wong
| Author | : Kwong-yu Chan |
| Publisher | : World Scientific |
| Total Pages | : 599 |
| Release | : 1995-07-01 |
| Genre | : Mathematics |
| ISBN | : 9814500100 |
Download Five Decades As A Mathematician And Educator: On The 80th Birthday Of Professor Yung-chow Wong Book in PDF, ePub and Kindle
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:
