Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations write by Johannes Sjöstrand. This book was released on 2019-05-17. Non-Self-Adjoint Differential Operators, Spectral Asymptotics and Random Perturbations available in PDF, EPUB and Kindle. The asymptotic distribution of eigenvalues of self-adjoint differential operators in the high-energy limit, or the semi-classical limit, is a classical subject going back to H. Weyl of more than a century ago. In the last decades there has been a renewed interest in non-self-adjoint differential operators which have many subtle properties such as instability under small perturbations. Quite remarkably, when adding small random perturbations to such operators, the eigenvalues tend to distribute according to Weyl's law (quite differently from the distribution for the unperturbed operators in analytic cases). A first result in this direction was obtained by M. Hager in her thesis of 2005. Since then, further general results have been obtained, which are the main subject of the present book. Additional themes from the theory of non-self-adjoint operators are also treated. The methods are very much based on microlocal analysis and especially on pseudodifferential operators. The reader will find a broad field with plenty of open problems.
Analysis Meets Geometry
Analysis Meets Geometry - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Analysis Meets Geometry write by Mats Andersson. This book was released on 2017-09-04. Analysis Meets Geometry available in PDF, EPUB and Kindle. This book is dedicated to the memory of Mikael Passare, an outstanding Swedish mathematician who devoted his life to developing the theory of analytic functions in several complex variables and exploring geometric ideas first-hand. It includes several papers describing Mikael’s life as well as his contributions to mathematics, written by friends of Mikael’s who share his attitude and passion for science. A major section of the book presents original research articles that further develop Mikael’s ideas and which were written by his former students and co-authors. All these mathematicians work at the interface of analysis and geometry, and Mikael’s impact on their research cannot be underestimated. Most of the contributors were invited speakers at the conference organized at Stockholm University in his honor. This book is an attempt to express our gratitude towards this great mathematician, who left us full of energy and new creative mathematical ideas.
Current Trends in Analysis, its Applications and Computation
Current Trends in Analysis, its Applications and Computation - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Current Trends in Analysis, its Applications and Computation write by Paula Cerejeiras. This book was released on 2022-10-03. Current Trends in Analysis, its Applications and Computation available in PDF, EPUB and Kindle. This volume contains the contributions of the participants of the 12th ISAAC congress which was held at the University of Aveiro, Portugal, from July 29 to August 3, 2019. These contributions originate from the following sessions: Applications of dynamical systems theory in biology, Complex Analysis and Partial Differential Equations, Complex Geometry, Complex Variables and Potential Theory, Constructive Methods in the Theory of Composite and Porous Media, Function Spaces and Applications, Generalized Functions and Applications, Geometric & Regularity Properties of Solutions to Elliptic and Parabolic PDEs, Geometries Defined by Differential Forms, Partial Differential Equations on Curved Spacetimes, Partial Differential Equations with Nonstandard Growth, Quaternionic and Clifford Analysis, Recent Progress in Evolution Equations, Wavelet theory and its Related Topics.
Geometric Aspects of Analysis and Mechanics
Geometric Aspects of Analysis and Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Geometric Aspects of Analysis and Mechanics write by Erik P. van den Ban. This book was released on 2011-06-28. Geometric Aspects of Analysis and Mechanics available in PDF, EPUB and Kindle. Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields. Written in his honor, the invited and refereed articles in this volume contain important new results as well as surveys in some of these areas, clearly demonstrating the impact of Duistermaat's research and, in addition, exhibiting interrelationships among many of the topics.
Further Progress in Analysis
Further Progress in Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Further Progress in Analysis write by A. Okay Celebi. This book was released on 2009. Further Progress in Analysis available in PDF, EPUB and Kindle. The ISAAC (International Society for Analysis, its Applications and Computation) Congress, which has been held every second year since 1997, covers the major progress in analysis, applications and computation in recent years. In this proceedings volume, plenary lectures highlight the recent research results, while 17 sessions organized by well-known specialists reflect the state of the art of important subfields. This volume concentrates on partial differential equations, function spaces, operator theory, integral transforms and equations, potential theory, complex analysis and generalizations, inverse problems, functional differential and difference equations and integrable systems.
