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| Author | : Pietro Poggi-Corradini |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 226 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0821836102 |
Download The $p$-Harmonic Equation and Recent Advances in Analysis Book in PDF, ePub and Kindle
Comprised of papers from the IIIrd Prairie Analysis Seminar held at Kansas State University, this book reflects the many directions of current research in harmonic analysis and partial differential equations. Included is the work of the distinguished main speaker, Tadeusz Iwaniec, his invited guests John Lewis and Juan Manfredi, and many other leading researchers. The main topic is the so-called p-harmonic equation, which is a family of nonlinear partial differential equations generalizing the usual Laplace equation. This study of p-harmonic equations touches upon many areas of analysis with deep relations to functional analysis, potential theory, and calculus of variations. The material is suitable for graduate students and research mathematicians interested in harmonic analysis and partial differential equations.
| Author | : Alec L. Matheson |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 230 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 082183925X |
Download Recent Advances in Operator-Related Function Theory Book in PDF, ePub and Kindle
The articles in this book are based on talks at a conference devoted to interrelations between function theory and the theory of operators. The main theme of the book is the role of Alexandrov-Clark measures. Two of the articles provide the introduction to the theory of Alexandrov-Clark measures and to its applications in the spectral theory of linear operators. The remaining articles deal with recent results in specific directions related to the theme of the book.
| Author | : Estela A. Gavosto |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 186 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 0821840932 |
Download Harmonic Analysis, Partial Differential Equations, and Related Topics Book in PDF, ePub and Kindle
This collection of contributed articles comprises the scientific program of the fifth annual Prairie Analysis Seminar. All articles represent important current advances in the areas of partial differential equations, harmonic analysis, and Fourier analysis. A range of interrelated topics is presented, with articles concerning Painleve removability, pseudodifferential operators, $A p$ weights, nonlinear Schrodinger equations, singular integrals, the wave equation, the Benjamin-Ono equation, quasi-geostrophic equations, quasiconformal mappings, integral inclusions, Bellman function methods, weighted gradient estimates, Hankel operators, and dynamic optimization problems. Most importantly, the articles illustrate the fruitful interaction between harmonic analysis, Fourier analysis, and partial differential equations, and illustrate the successful application of techniques and ideas from each of these areas to the others.
| Author | : J. Marshall Ash |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 162 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 0821839209 |
Download Harmonic Analysis Book in PDF, ePub and Kindle
Starting in the early 1950's, Alberto Calderon, Antoni Zygmund, and their students developed a program in harmonic analysis with far-reaching consequences. The title of these proceedings reflects this broad reach. This book came out of a DePaul University conference honoring Stephen Vagi upon his retirement in 2002. Vagi was a student of Calderon in the 1960's, when Calderon and Zygmund were at their peak. Two authors, Kenig and Gatto, were students of Calderon; one, Muckenhoupt, was a student of Zygmund. Two others studied under Zygmund's student Elias Stein. The remaining authors all have close connections with the Calderon-Zygmund school of analysis. This book should interest specialists in harmonic analysis and those curious to see it applied to partial differential equations and ergodic theory. In the first article, Adam Koranyi summarizes Vagi's work. Four additional articles cover various recent developments in harmonic analysis: Eduardo Gatto studies spaces with doubling and non-doubling measures; Cora Sadosky, product spaces; Benjamin Muckenhoupt, Laguerre expansions; and Roger Jones, singular integrals. Charles Fefferman and Carlos Kenig present applications to partial differential equations and Stephen Wainger gives an application to ergodic theory. The final article records some interesting open questions from a problem session that concluded the conference.
| Author | : Juan Luis Vazquez |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 136 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 0821838911 |
Download Recent Trends in Partial Differential Equations Book in PDF, ePub and Kindle
This volume contains the research and expository articles for the courses and talks given at the UIMP-RSME Lluis A. Santalo Summer School, Recent Trends in Partial Differential Equations. The goal of the Summer School was to present some of the many advances that are currently taking place in the interaction between nonlinear partial differential equations and their applications to other scientific disciplines. Oriented to young post-docs and advanced doctoral students, the courses dealt with topics of current interest. Some of the tools presented are quite powerful and sophisticated. These new methods are presented in an expository manner or applied to a particular example to demonstrate the main ideas of the method and to serve as a handy introduction to further study. Young researchers in partial differential equations and colleagues from neighboring fields will find these notes a good addition to their libraries. This is a joint publication of the Real Sociedad Matematica Espanola and the American Mathematical Society.
| Author | : Habib Ammari |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 278 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 0821839683 |
Download Inverse Problems, Multi-Scale Analysis, and Effective Medium Theory Book in PDF, ePub and Kindle
Recent developments in inverse problems, multi-scale analysis and effective medium theory reveal that these fields share several fundamental concepts. This book is the proceedings of the research conference, ``Workshop in Seoul: Inverse Problems, Multi-Scale Analysis and Homogenization,'' held at Seoul National University, June 22-24, 2005. It highlights the benefits of sharing ideas among these areas, of merging the expertise of scientists working there, and of directing interest towards challenging issues such as imaging nanoscience and biological imaging. Contributions are written by prominent experts and are of interest to researchers and graduate students interested in partial differential equations and applications.
| Author | : José Burillo |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 242 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0821833626 |
Download Geometric Methods in Group Theory Book in PDF, ePub and Kindle
This volume presents articles by speakers and participants in two AMS special sessions, Geometric Group Theory and Geometric Methods in Group Theory, held respectively at Northeastern University (Boston, MA) and at Universidad de Sevilla (Spain). The expository and survey articles in the book cover a wide range of topics, making it suitable for researchers and graduate students interested in group theory.
| Author | : Andrea R. Nahmod |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 300 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 0821869213 |
Download Recent Advances in Harmonic Analysis and Partial Differential Equations Book in PDF, ePub and Kindle
This volume is based on the AMS Special Session on Harmonic Analysis and Partial Differential Equations and the AMS Special Session on Nonlinear Analysis of Partial Differential Equations, both held March 12-13, 2011, at Georgia Southern University, Statesboro, Georgia, as well as the JAMI Conference on Analysis of PDEs, held March 21-25, 2011, at Johns Hopkins University, Baltimore, Maryland. These conferences all concentrated on problems of current interest in harmonic analysis and PDE, with emphasis on the interaction between them. This volume consists of invited expositions as well as research papers that address prospects of the recent significant development in the field of analysis and PDE. The central topics mainly focused on using Fourier, spectral and geometrical methods to treat wellposedness, scattering and stability problems in PDE, including dispersive type evolution equations, higher-order systems and Sobolev spaces theory that arise in aspects of mathematical physics. The study of all these problems involves state-of-the-art techniques and approaches that have been used and developed in the last decade. The interrelationship between the theory and the tools reflects the richness and deep connections between various subjects in both classical and modern analysis.
| Author | : Robert L. Devaney |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 218 |
| Release | : 2006 |
| Genre | : Mathematics |
| ISBN | : 0821836250 |
Download Complex Dynamics Book in PDF, ePub and Kindle
Chaotic behavior of (even the simplest) iterations of polynomial maps of the complex plane was known for almost one hundred years due to the pioneering work of Farou, Julia, and their contemporaries. However, it was only twenty-five years ago that the first computer generated images illustrating properties of iterations of quadratic maps appeared. These images of the so-called Mandelbrot and Julia sets immediately resulted in a strong resurgence of interest in complex dynamics. The present volume, based on the talks at the conference commemorating the twenty-fifth anniversary of the appearance of Mandelbrot sets, provides a panorama of current research in this truly fascinating area of mathematics.
| Author | : José Antonio de la Peña |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 466 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 0821836307 |
Download Algebraic Structures and Their Representations Book in PDF, ePub and Kindle
The Latin-American conference on algebra, the XV Coloquio Latinoamericano de Algebra (Cocoyoc, Mexico), consisted of plenary sessions of general interest and special sessions on algebraic combinatorics, associative rings, cohomology of rings and algebras, commutative algebra, group representations, Hopf algebras, number theory, quantum groups, and representation theory of algebras. This proceedings volume contains original research papers related to talks at the colloquium. In addition, there are several surveys presenting important topics to a broad mathematical audience. There are also two invited papers by Raymundo Bautista and Roberto Martinez, founders of the Mexican school of representation theory of algebras. The book is suitable for graduate students and researchers interested in algebra.
