Second Summer School In Analysis And Mathematical Physics

Author : m Summer School in Analysis and Mathematical Physics 2000 Cuernavaca,Salvador Pérez-Esteva,Carlos Villegas-Blas,Summer School in Analysis and Mathematical Physics
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 42,5 Mb
Release : 2001
Category : Mathematics
ISBN : 9780821827086

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Second Summer School in Analysis and Mathematical Physics by m Summer School in Analysis and Mathematical Physics 2000 Cuernavaca,Salvador Pérez-Esteva,Carlos Villegas-Blas,Summer School in Analysis and Mathematical Physics Pdf

For the second time, a Summer School in Analysis and Mathematical Physics took place at the Universidad Nacional Autonoma de Mexico in Cuernavaca. The purpose of the schools is to provide a bridge from standard graduate courses in mathematics to current research topics, particularly in analysis. The lectures are given by internationally recognized specialists in the fields. The topics covered in this Second Summer School include harmonic analysis, complex analysis, pseudodifferential operators, the mathematics of quantum chaos, and non-linear analysis.

Author : Carlos Villegas-Blas
Publisher : American Mathematical Soc.
Page : 161 pages
File Size : 52,8 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 9780821858042

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Fourth Summer School in Analysis and Mathematical Physics by Carlos Villegas-Blas Pdf

Author : Salvador Pérez-Esteva,Carlos Villegas-Blas
Publisher : American Mathematical Soc.
Page : 146 pages
File Size : 52,6 Mb
Release : 2000
Category : Geometric quantization
ISBN : 9780821821152

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First Summer School in Analysis and Mathematical Physics by Salvador Pérez-Esteva,Carlos Villegas-Blas Pdf

The first Summer School of Analysis and Mathematical Physics of the Universidad Nacional Autónoma de México (Cuernavaca) offered graduate and advanced undergraduate students courses on modern topics in the overlap between analysis and physics. This volume contains the expanded notes from the lectures by Brian Hall, Alejandro Uribe, and David Borthwick. The articles introduce readers to mathematical methods of classical and quantum mechanics and the link between these two theories: quantization and semiclassical analysis. Hall writes about holomorphic methods in analysis and mathematical physics and includes exercises. Uribe's lectures covered trace formulae, in particular asymptotic behavior and the relationship between the asymptotics and the geometric properties of the classical system. Borthwick presents an introduction to Kähler quantization, including the moment map, the orbit method, and symmetry and reduction. The exposition in the entire volume is geared to introducing graduate students with a basic knowledge of mathematics into areas of active research. This volume is a joint publication of the American Mathematical Society and the Sociedad Matematica Mexicana. Members of the SMM may order directly from the AMS at the AMS member price.

Author : Carlos Villegas-Blas
Publisher : American Mathematical Soc.
Page : 161 pages
File Size : 47,8 Mb
Release : 2008-12-02
Category : Mathematics
ISBN : 9780821840641

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Fourth Summer School in Analysis and Mathematical Physics by Carlos Villegas-Blas Pdf

This book consists of three expository articles written by outstanding researchers in Mathematical Physics: Rafael Benguria, Peter Hislop, and Elliott Lieb. The articles are based on their lectures at the Fourth Summer School in Analysis and Mathematical Physics, held at the Institute of Mathematics, Universidad Nacional Autonoma de Mexico, Cuernavaca in May 2005. The main goal of the articles is to link the basic knowledge of a graduate student in Mathematics with three current research topics in Mathematical Physics: Isoperimetric inequalities for eigenvalues of the Laplace Operator, Random Schrodinger Operators, and Stability of Matter, respectively. These well written articles will guide and introduce the reader to current research topics and will also provide information on recent progress in some areas of Mathematical Physics.

Author : Anonim
Publisher : Unknown
Page : 148 pages
File Size : 48,6 Mb
Release : 2008
Category : Quantum theory
ISBN : 0821881558

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Fourth Summer School in Analysis and Mathematical Physics by Anonim Pdf

Author : Francisco Javier Martin-reyes,Cristobal Gonzalez,Maria Lorente-dominguez,Pedro Ortega-salvador
Publisher : World Scientific
Page : 248 pages
File Size : 40,6 Mb
Release : 2016-10-27
Category : Mathematics
ISBN : 9789813147652

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Advanced Courses Of Mathematical Analysis Vi - Proceedings Of The Sixth International School by Francisco Javier Martin-reyes,Cristobal Gonzalez,Maria Lorente-dominguez,Pedro Ortega-salvador Pdf

This volume contains short courses and recent papers by several specialists in different fields of Mathematical Analysis. It offers a wide perspective of the current state of research, and new trends, in areas related to Geometric Analysis, Harmonic Analysis, Complex Analysis, Functional Analysis and History of Mathematics. The contributions are presented with a remarkable expository nature and this makes the discussed topics accessible to a more general audience.

Author : Loukas Grafakos
Publisher : Springer
Page : 647 pages
File Size : 54,5 Mb
Release : 2014-11-17
Category : Mathematics
ISBN : 9781493911943

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Classical Fourier Analysis by Loukas Grafakos Pdf

The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory completion of courses in real and complex variables. The coverage of topics and exposition style are designed to leave no gaps in understanding and stimulate further study. This third edition includes new Sections 3.5, 4.4, 4.5 as well as a new chapter on “Weighted Inequalities,” which has been moved from GTM 250, 2nd Edition. Appendices I and B.9 are also new to this edition. Countless corrections and improvements have been made to the material from the second edition. Additions and improvements include: more examples and applications, new and more relevant hints for the existing exercises, new exercises, and improved references.

Author : Maria Ulan,Eivind Schneider
Publisher : Springer Nature
Page : 231 pages
File Size : 43,7 Mb
Release : 2021-02-12
Category : Mathematics
ISBN : 9783030632533

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Differential Geometry, Differential Equations, and Mathematical Physics by Maria Ulan,Eivind Schneider Pdf

This volume presents lectures given at the Wisła 19 Summer School: Differential Geometry, Differential Equations, and Mathematical Physics, which took place from August 19 - 29th, 2019 in Wisła, Poland, and was organized by the Baltic Institute of Mathematics. The lectures were dedicated to symplectic and Poisson geometry, tractor calculus, and the integration of ordinary differential equations, and are included here as lecture notes comprising the first three chapters. Following this, chapters combine theoretical and applied perspectives to explore topics at the intersection of differential geometry, differential equations, and mathematical physics. Specific topics covered include: Parabolic geometry Geometric methods for solving PDEs in physics, mathematical biology, and mathematical finance Darcy and Euler flows of real gases Differential invariants for fluid and gas flow Differential Geometry, Differential Equations, and Mathematical Physics is ideal for graduate students and researchers working in these areas. A basic understanding of differential geometry is assumed.

Author : M A Lifshits,Robert Coquereaux,School on "Quantum symmetries in theoretical physics and mathematics"
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 47,6 Mb
Release : 2002
Category : Mathematics
ISBN : 9780821826553

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Quantum Symmetries in Theoretical Physics and Mathematics by M A Lifshits,Robert Coquereaux,School on "Quantum symmetries in theoretical physics and mathematics" Pdf

This volume presents articles from several lectures presented at the school on 'Quantum Symmetries in Theoretical Physics and Mathematics' held in Bariloche, Argentina. The various lecturers provided significantly different points of view on several aspects of Hopf algebras, quantum group theory, and noncommutative differential geometry, ranging from analysis, geometry, and algebra to physical models, especially in connection with integrable systems and conformal field theories. Primary topics discussed in the text include subgroups of quantum $SU(N)$, quantum ADE classifications and generalized Coxeter systems, modular invariance, defects and boundaries in conformal field theory, finite dimensional Hopf algebras, Lie bialgebras and Belavin-Drinfeld triples, real forms of quantum spaces, perturbative and non-perturbative Yang-Baxter operators, braided subfactors in operator algebras and conformal field theory, and generalized ($d^N$) cohomologies.

Author : Zhangxin Chen,Richard E. Ewing,Joint Summer Research Conference on Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment
Publisher : American Mathematical Soc.
Page : 538 pages
File Size : 45,8 Mb
Release : 2002
Category : Fluid dynamics
ISBN : 9780821828076

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Fluid Flow and Transport in Porous Media, Mathematical and Numerical Treatment by Zhangxin Chen,Richard E. Ewing,Joint Summer Research Conference on Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment Pdf

The June 2001 conference brought together mathematicians, computational scientists, and engineers working on the mathematical and numerical treatment of fluid flow and transport in porous media. This collection of 43 papers from that conference reports on recent advances in network flow modeling, parallel computation, optimization, upscaling, uncertainty reduction, media characterization, and chemically reactive phenomena. Topics include modeling horizontal wells using hybrid grids in reservoir simulation, a high order Lagrangian scheme for flow through unsaturated porous media, and a streamline front tracking method for two- and three- phase flow. No index. Annotation copyrighted by Book News, Inc., Portland, OR.

Author : Analysis on Infinit Ams Special Session,Hui-Hsiung Kuo,Ambar Sengupta
Publisher : American Mathematical Soc.
Page : 224 pages
File Size : 52,7 Mb
Release : 2003
Category : Mathematics
ISBN : 9780821832028

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Finite and Infinite Dimensional Analysis in Honor of Leonard Gross by Analysis on Infinit Ams Special Session,Hui-Hsiung Kuo,Ambar Sengupta Pdf

This book contains the proceedings of the special session in honor of Leonard Gross held at the annual Joint Mathematics Meetings in New Orleans (LA). The speakers were specialists in a variety of fields, and many were Professor Gross' former Ph.D. students and their descendants. Papers in this volume present results from several areas of mathematics. They illustrate applications of powerful ideas that originated in Gross' work and permeate diverse fields. Topics of this title include stochastic partial differential equations, white noise analysis, Brownian motion, Segal-Bargmann analysis, heat kernels, and some applications. The volume should be useful to graduate students and researchers. It provides perspective on current activity and on central ideas and techniques in the topics covered.

Author : Joseph Rosenblatt
Publisher : American Mathematical Soc.
Page : 242 pages
File Size : 50,9 Mb
Release : 2007
Category : Ergodic theory
ISBN : 9780821842355

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Topics in Harmonic Analysis and Ergodic Theory by Joseph Rosenblatt Pdf

There are strong connections between harmonic analysis and ergodic theory. A recent example of this interaction is the proof of the spectacular result by Terence Tao and Ben Green that the set of prime numbers contains arbitrarily long arithmetic progressions. This text presents a series of essays on the topic.

Author : M. Zuhair Nashed,Otmar Scherzer,AMS Special Session on Interaction of Inverse Problems
Publisher : American Mathematical Soc.
Page : 322 pages
File Size : 55,9 Mb
Release : 2002
Category : Diagnostic imaging
ISBN : 9780821829790

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Inverse Problems, Image Analysis, and Medical Imaging by M. Zuhair Nashed,Otmar Scherzer,AMS Special Session on Interaction of Inverse Problems Pdf

This book contains the proceedings of the Special Session, Interaction of Inverse Problems and Image Analysis, held at the January 2001 meeting of the AMS in New Orleans, LA. The common thread among inverse problems, signal analysis, and image analysis is a canonical problem: recovering an object (function, signal, picture) from partial or indirect information about the object. Both inverse problems and imaging science have emerged in recent years as interdisciplinary research fields with profound applications in many areas of science, engineering, technology, and medicine. Research in inverse problems and image processing shows rich interaction with several areas of mathematics and strong links to signal processing, variational problems, applied harmonic analysis, and computational mathematics. This volume contains carefully referred and edited original research papers and high-level survey papers that provide overview and perspective on the interaction of inverse problems, image analysis, and medical imaging. The book is suitable for graduate students and researchers interested in signal and image processing and medical imaging.

Author : Vadim Olshevsky
Publisher : American Mathematical Soc.
Page : 448 pages
File Size : 44,7 Mb
Release : 2003
Category : Algorithmes - Congrès
ISBN : 9780821831779

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Fast Algorithms for Structured Matrices by Vadim Olshevsky Pdf

One of the best known fast computational algorithms is the fast Fourier transform method. Its efficiency is based mainly on the special structure of the discrete Fourier transform matrix. Recently, many other algorithms of this type were discovered, and the theory of structured matrices emerged. This volume contains 22 survey and research papers devoted to a variety of theoretical and practical aspects of the design of fast algorithms for structured matrices and related issues. Included are several papers containing various affirmative and negative results in this direction. The theory of rational interpolation is one of the excellent sources providing intuition and methods to design fast algorithms. The volume contains several computational and theoretical papers on the topic. There are several papers on new applications of structured matrices, e.g., to the design of fast decoding algorithms, computing state-space realizations, relations to Lie algebras, unconstrained optimization, solving matrix equations, etc. The book is suitable for mathematicians, engineers, and numerical analysts who design, study, and use fast computational algorithms based on the theory of structured matrices.

Author : Theodore Voronov
Publisher : American Mathematical Soc.
Page : 290 pages
File Size : 49,5 Mb
Release : 2002
Category : Geometric quantization
ISBN : 9780821832011

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Quantization, Poisson Brackets and Beyond by Theodore Voronov Pdf

The papers in this volume are based on talks given at the 2001 Manchester Meeting of the London Mathematical Society, which was followed by an international workshop on Quantization, Deformations, and New Homological and Categorical Methods in Mathematical Physics. Focus is on the topics suggested by the title: quantization in its various aspects, Poisson brackets and generalizations, and structures beyond'' this, including symplectic supermanifolds, operads, Lie groupoids and Lie (bi)algebroids, and algebras with $n$-ary operations. The book offers accounts of up-to-date results as well as accessible expositions aimed at a broad reading audience of researchers in differential geometry, algebraic topology and mathematical physics.