Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Analytic Geometry Of The Bergman Kernel And Related Topics full books in PDF, epub, and Kindle. Read online Analytic Geometry Of The Bergman Kernel And Related Topics ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Takeo Ohsawa
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.:/5 (255 download)
Download or read book Analytic Geometry of the Bergman Kernel and Related Topics written by Takeo Ohsawa and published by . This book was released on 2006 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 186 pages
Book Rating : 4.:/5 (2 download)
Download or read book Analytic Geometry of the Bergman Kernel and Related Topics written by and published by . This book was released on 2006 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 146147924X
Total Pages : 300 pages
Book Rating : 4.4/5 (614 download)
Download or read book Geometric Analysis of the Bergman Kernel and Metric written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a masterful and systematic treatment of all the basic analytic and geometric aspects of Bergman's classic theory of the kernel and its invariance properties. These include calculation, invariance properties, boundary asymptotics, and asymptotic expansion of the Bergman kernel and metric. Moreover, it presents a unique compendium of results with applications to function theory, geometry, partial differential equations, and interpretations in the language of functional analysis, with emphasis on the several complex variables context. Several of these topics appear here for the first time in book form. Each chapter includes illustrative examples and a collection of exercises which will be of interest to both graduate students and experienced mathematicians. Graduate students who have taken courses in complex variables and have a basic background in real and functional analysis will find this textbook appealing. Applicable courses for either main or supplementary usage include those in complex variables, several complex variables, complex differential geometry, and partial differential equations. Researchers in complex analysis, harmonic analysis, PDEs, and complex differential geometry will also benefit from the thorough treatment of the many exciting aspects of Bergman's theory.
Author : Kengo Hirachi
Publisher : Springer Nature
ISBN 13 : 981999506X
Total Pages : 372 pages
Book Rating : 4.8/5 (199 download)
Download or read book The Bergman Kernel and Related Topics written by Kengo Hirachi and published by Springer Nature. This book was released on with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gen Komatsu
Publisher : Springer Science & Business Media
ISBN 13 : 9780817640675
Total Pages : 334 pages
Book Rating : 4.6/5 (46 download)
Download or read book Analysis and Geometry in Several Complex Variables written by Gen Komatsu and published by Springer Science & Business Media. This book was released on 1999-07-15 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of a collection of articles for the proceedings of the 40th Taniguchi Symposium Analysis and Geometry in Several Complex Variables held in Katata, Japan, on June 23-28, 1997. Since the inhomogeneous Cauchy-Riemann equation was introduced in the study of Complex Analysis of Several Variables, there has been strong interaction between Complex Analysis and Real Analysis, in particular, the theory of Partial Differential Equations. Problems in Complex Anal ysis stimulate the development of the PDE theory which subsequently can be applied to Complex Analysis. This interaction involves Differen tial Geometry, for instance, via the CR structure modeled on the induced structure on the boundary of a complex manifold. Such structures are naturally related to the PDE theory. Differential Geometric formalisms are efficiently used in settling problems in Complex Analysis and the results enrich the theory of Differential Geometry. This volume focuses on the most recent developments in this inter action, including links with other fields such as Algebraic Geometry and Theoretical Physics. Written by participants in the Symposium, this vol ume treats various aspects of CR geometry and the Bergman kernel/ pro jection, together with other major subjects in modern Complex Analysis. We hope that this volume will serve as a resource for all who are interested in the new trends in this area. We would like to express our gratitude to the Taniguchi Foundation for generous financial support and hospitality. We would also like to thank Professor Kiyosi Ito who coordinated the organization of the symposium.
Author : Weiping Zhang
Publisher : Birkhäuser
ISBN 13 : 9783764391805
Total Pages : 422 pages
Book Rating : 4.3/5 (918 download)
Download or read book Holomorphic Morse Inequalities and Bergman Kernels written by Weiping Zhang and published by Birkhäuser. This book was released on 2009-09-03 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel. It opens perspectives on several active areas of research in complex, Kähler and symplectic geometry. A large number of applications are also included, such as an analytic proof of Kodaira's embedding theorem, a solution of the Grauert-Riemenschneider and Shiffman conjectures, compactification of complete Kähler manifolds of pinched negative curvature, Berezin-Toeplitz quantization, weak Lefschetz theorems, and asymptotics of the Ray-Singer analytic torsion.
Author : Marek Jarnicki
Publisher : Walter de Gruyter
ISBN 13 : 3110870312
Total Pages : 421 pages
Book Rating : 4.1/5 (18 download)
Download or read book Invariant Distances and Metrics in Complex Analysis written by Marek Jarnicki and published by Walter de Gruyter. This book was released on 2011-05-03 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
Author : John Bland
Publisher : American Mathematical Soc.
ISBN 13 : 0821832735
Total Pages : 338 pages
Book Rating : 4.8/5 (218 download)
Download or read book Explorations in Complex and Riemannian Geometry written by John Bland and published by American Mathematical Soc.. This book was released on 2003 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains contributions by an impressive list of leading mathematicians. The articles include high-level survey and research papers exploring contemporary issues in geometric analysis, differential geometry, and several complex variables. Many of the articles will provide graduate students with a good entry point into important areas of modern research. The material is intended for researchers and graduate students interested in several complex variables and complex geometry.
Author : Jeffery D. McNeal
Publisher : American Mathematical Soc.
ISBN 13 : 0821872753
Total Pages : 601 pages
Book Rating : 4.8/5 (218 download)
Download or read book Analytic and Algebraic Geometry written by Jeffery D. McNeal and published by American Mathematical Soc.. This book was released on 2010-01-01 with total page 601 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Analytic and algebraic geometers often study the same geometric structures but bring different methods to bear on them. While this dual approach has been spectacularly successful at solving problems, the language differences between algebra and analysis also represent a difficulty for students and researchers in geometry, particularly complex geometry. The PCMI program was designed to partially address this language gulf, by presenting some of the active developments in algebraic and analytic geometry in a form suitable for students on the 'other side' of the analysis-algebra language divide. One focal point of the summer school was multiplier ideals, a subject of wide current interest in both subjects. The present volume is based on a series of lectures at the PCMI summer school on analytic and algebraic geometry. The series is designed to give a high-level introduction to the advanced techniques behind some recent developments in algebraic and analytic geometry. The lectures contain many illustrative examples, detailed computations, and new perspectives on the topics presented, in order to enhance access of this material to non-specialists."--Publisher's description.
Author : Alexander A. Borichev
Publisher : American Mathematical Soc.
ISBN 13 : 0821837125
Total Pages : 232 pages
Book Rating : 4.8/5 (218 download)
Download or read book Bergman Spaces and Related Topics in Complex Analysis written by Alexander A. Borichev and published by American Mathematical Soc.. This book was released on 2006 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume grew out of a conference in honor of Boris Korenblum on the occasion of his 80th birthday, held in Barcelona, Spain, November 20-22, 2003. The book is of interest to researchers and graduate students working in the theory of spaces of analytic function, and, in particular, in the theory of Bergman spaces.
Author : Peter L. Duren
Publisher : American Mathematical Soc.
ISBN 13 : 0821808109
Total Pages : 330 pages
Book Rating : 4.8/5 (218 download)
Download or read book Bergman Spaces written by Peter L. Duren and published by American Mathematical Soc.. This book was released on 2004 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modern subject of Bergman spaces is a masterful blend of complex function theory with functional analysis and operator theory. It has much in common with Hardy spaces but involves new elements such as hyperbolic geometry, reproducing kernels, and biharmonic Green functions. This book develops background material and provides a self-contained introduction to a broad range of old and new topics in Bergman spaces, including recent advances on interpolation and sampling, contractive zero-divisors, and invariant subspaces. It is accessible to anyone who has studied basic real and complex analysis at the graduate level.
Author : Tatsuo Suwa
Publisher : World Scientific
ISBN 13 : 9814704296
Total Pages : 609 pages
Book Rating : 4.8/5 (147 download)
Download or read book Complex Analytic Geometry: From The Localization Viewpoint written by Tatsuo Suwa and published by World Scientific. This book was released on 2024-02-21 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: Complex Analytic Geometry is a subject that could be termed, in short, as the study of the sets of common zeros of complex analytic functions. It has a long history and is closely related to many other fields of Mathematics and Sciences, where numerous applications have been found, including a recent one in the Sato hyperfunction theory.This book is concerned with, among others, local invariants that arise naturally in Complex Analytic Geometry and their relations with global invariants of the manifold or variety. The idea is to look at them as residues associated with the localization of some characteristic classes. Two approaches are taken for this — topological and differential geometric — and the combination of the two brings out further fruitful results. For this, on one hand, we present detailed description of the Alexander duality in combinatorial topology. On the other hand, we give a thorough presentation of the Čech-de Rham cohomology and integration theory on it. This viewpoint provides us with the way for clearer and more precise presentations of the central concepts as well as fundamental and important results that have been treated only globally so far. It also brings new perspectives into the subject and leads to further results and applications.The book starts off with basic material and continues by introducing characteristic classes via both the obstruction theory and the Chern-Weil theory, explaining the idea of localization of characteristic classes and presenting the aforementioned invariants and relations in a unified way from this perspective. Various related topics are also discussed. The expositions are carried out in a self-containing manner and includes recent developments. The profound consequences of this subject will make the book useful for students and researchers in fields as diverse as Algebraic Geometry, Complex Analytic Geometry, Differential Geometry, Topology, Singularity Theory, Complex Dynamical Systems, Algebraic Analysis and Mathematical Physics.
Author : Filippo Bracci
Publisher : Springer
ISBN 13 : 443155744X
Total Pages : 370 pages
Book Rating : 4.4/5 (315 download)
Download or read book Complex Analysis and Geometry written by Filippo Bracci and published by Springer. This book was released on 2015-08-05 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes 28 chapters by authors who are leading researchers of the world describing many of the up-to-date aspects in the field of several complex variables (SCV). These contributions are based upon their presentations at the 10th Korean Conference on Several Complex Variables (KSCV10), held as a satellite conference to the International Congress of Mathematicians (ICM) 2014 in Seoul, Korea. SCV has been the term for multidimensional complex analysis, one of the central research areas in mathematics. Studies over time have revealed a variety of rich, intriguing, new knowledge in complex analysis and geometry of analytic spaces and holomorphic functions which were "hidden" in the case of complex dimension one. These new theories have significant intersections with algebraic geometry, differential geometry, partial differential equations, dynamics, functional analysis and operator theory, and sheaves and cohomology, as well as the traditional analysis of holomorphic functions in all dimensions. This book is suitable for a broad audience of mathematicians at and above the beginning graduate-student level. Many chapters pose open-ended problems for further research, and one in particular is devoted to problems for future investigations.
Author : Jacques Faraut
Publisher : Springer Science & Business Media
ISBN 13 : 1461213665
Total Pages : 539 pages
Book Rating : 4.4/5 (612 download)
Download or read book Analysis and Geometry on Complex Homogeneous Domains written by Jacques Faraut and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: A number of important topics in complex analysis and geometry are covered in this excellent introductory text. Written by experts in the subject, each chapter unfolds from the basics to the more complex. The exposition is rapid-paced and efficient, without compromising proofs and examples that enable the reader to grasp the essentials. The most basic type of domain examined is the bounded symmetric domain, originally described and classified by Cartan and Harish- Chandra. Two of the five parts of the text deal with these domains: one introduces the subject through the theory of semisimple Lie algebras (Koranyi), and the other through Jordan algebras and triple systems (Roos). Larger classes of domains and spaces are furnished by the pseudo-Hermitian symmetric spaces and related R-spaces. These classes are covered via a study of their geometry and a presentation and classification of their Lie algebraic theory (Kaneyuki). In the fourth part of the book, the heat kernels of the symmetric spaces belonging to the classical Lie groups are determined (Lu). Explicit computations are made for each case, giving precise results and complementing the more abstract and general methods presented. Also explored are recent developments in the field, in particular, the study of complex semigroups which generalize complex tube domains and function spaces on them (Faraut). This volume will be useful as a graduate text for students of Lie group theory with connections to complex analysis, or as a self-study resource for newcomers to the field. Readers will reach the frontiers of the subject in a considerably shorter time than with existing texts.
Author : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 0817643397
Total Pages : 311 pages
Book Rating : 4.8/5 (176 download)
Download or read book Geometric Function Theory written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2006 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Presented from a geometric analytical viewpoint, this work addresses advanced topics in complex analysis that verge on modern areas of research * Methodically designed with individual chapters containing a rich collection of exercises, examples, and illustrations
Author : Steven George Krantz
Publisher : American Mathematical Soc.
ISBN 13 : 082180734X
Total Pages : 216 pages
Book Rating : 4.8/5 (218 download)
Download or read book Geometric Analysis and Function Spaces written by Steven George Krantz and published by American Mathematical Soc.. This book was released on 1993 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings into focus the synergistic interaction between analysis and geometry by examining a variety of topics in function theory, real analysis, harmonic analysis, several complex variables, and group actions. Krantz's approach is motivated by examples, both classical and modern, which highlight the symbiotic relationship between analysis and geometry. Creating a synthesis among a host of different topics, this book is useful to researchers in geometry and analysis and may be of interest to physicists, astronomers, and engineers in certain areas. The book is based on lectures presented at an NSF-CBMS Regional Conference held in May 1992.
Author : Rafal Ablamowicz
Publisher : Springer Science & Business Media
ISBN 13 : 1461220440
Total Pages : 635 pages
Book Rating : 4.4/5 (612 download)
Download or read book Clifford Algebras written by Rafal Ablamowicz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: The invited papers in this volume provide a detailed examination of Clifford algebras and their significance to analysis, geometry, mathematical structures, physics, and applications in engineering. While the papers collected in this volume require that the reader possess a solid knowledge of appropriate background material, they lead to the most current research topics. With its wide range of topics, well-established contributors, and excellent references and index, this book will appeal to graduate students and researchers.
