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Analytic And Geometric Issues Of Complex Analysis


Analytic And Geometric Issues Of Complex Analysis
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Topics In Complex Analysis Differential Geometry And Methematical Physics Proceedings Of The Third International Workshop On Complex Structures And Vector Fields


Topics In Complex Analysis Differential Geometry And Methematical Physics Proceedings Of The Third International Workshop On Complex Structures And Vector Fields
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Author : Stancho Dimiev
language : en
Publisher: World Scientific
Release Date : 1997-07-01

Topics In Complex Analysis Differential Geometry And Methematical Physics Proceedings Of The Third International Workshop On Complex Structures And Vector Fields written by Stancho Dimiev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-07-01 with categories.


The Third International Workshop on Complex Structures and Vector Fields was held to exchange information on current topics in complex analysis, differential geometry and mathematical physics, and to find new subjects in these fields.This volume contains many interesting and important articles in complex analysis (including quaternionic analysis), functional analysis, topology, differential geometry (hermitian geometry, surface theory), and mathematical physics (quantum mechanics, hamilton mechanics).



Topics In Global Real Analytic Geometry


Topics In Global Real Analytic Geometry
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Author : Francesca Acquistapace
language : en
Publisher: Springer Nature
Release Date : 2022-06-07

Topics In Global Real Analytic Geometry written by Francesca Acquistapace and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-07 with Mathematics categories.


In the first two chapters we review the theory developped by Cartan, Whitney and Tognoli. Then Nullstellensatz is proved both for Stein algebras and for the algebra of real analytic functions on a C-analytic space. Here we find a relation between real Nullstellensatz and seventeenth Hilbert’s problem for positive semidefinite analytic functions. Namely, a positive answer to Hilbert’s problem implies a solution for the real Nullstellensatz more similar to the one for real polinomials. A chapter is devoted to the state of the art on this problem that is far from a complete answer. In the last chapter we deal with inequalities. We describe a class of semianalytic sets defined by countably many global real analytic functions that is stable under topological properties and under proper holomorphic maps between Stein spaces, that is, verifies a direct image theorem. A smaller class admits also a decomposition into irreducible components as it happens for semialgebraic sets. During the redaction some proofs have been simplified with respect to the original ones.



Complex Analysis


Complex Analysis
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Author : Shashank Tiwari
language : en
Publisher: Educohack Press
Release Date : 2025-02-20

Complex Analysis written by Shashank Tiwari and has been published by Educohack Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-20 with Science categories.


"Complex Analysis: Advanced Concepts" delves into the intricate world of complex numbers and functions, offering a thorough exploration of their properties and applications. The book begins with a detailed examination of basic concepts, covering arithmetic operations, geometric interpretations, and the fundamental theorem of algebra. It then progresses to advanced topics such as complex functions, differentiation, integration, and series. One of the book's notable strengths lies in its clear and concise explanations, accompanied by numerous examples and exercises to reinforce understanding. Readers are guided through theorems and proofs, gaining insight into the elegance and power of complex analysis. The book also highlights the relevance of complex analysis in various fields, including physics, engineering, and economics. Applications such as potential theory, fluid dynamics, and signal processing are explored, demonstrating the subject's practical significance. Whether used as a textbook for students or a reference for professionals, "Complex Analysis: Advanced Concepts" offers a valuable resource for mastering the intricacies of this essential branch of mathematics. Its comprehensive coverage and accessible style make it an indispensable addition to any mathematician's library.



Analytic And Geometric Issues Of Complex Analysis


Analytic And Geometric Issues Of Complex Analysis
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Author : Andrej A. Gončar
language : en
Publisher:
Release Date : 2012

Analytic And Geometric Issues Of Complex Analysis written by Andrej A. Gončar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.




Linear And Complex Analysis Problem Book 3


Linear And Complex Analysis Problem Book 3
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Author : Victor P. Havin
language : en
Publisher: Springer
Release Date : 2006-12-08

Linear And Complex Analysis Problem Book 3 written by Victor P. Havin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-08 with Mathematics categories.


The 2-volume book is an updated, reorganized and considerably enlarged version of the previous edition of the Research Problem Book in Analysis (LNM 1043), a collection familiar to many analysts, that has sparked off much research. This new edition, created in a joint effort by a large team of analysts, is, like its predecessor, a collection of unsolved problems of modern analysis designed as informally written mini-articles, each containing not only a statement of a problem but also historical and methodological comments, motivation, conjectures and discussion of possible connections, of plausible approaches as well as a list of references. There are now 342 of these mini- articles, almost twice as many as in the previous edition, despite the fact that a good deal of them have been solved!



Lectures On The L2 Sobolev Theory Of The D Bar Neumann Problem


Lectures On The L2 Sobolev Theory Of The D Bar Neumann Problem
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Author : Emil J. Straube
language : en
Publisher: European Mathematical Society
Release Date : 2010

Lectures On The L2 Sobolev Theory Of The D Bar Neumann Problem written by Emil J. Straube and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Mathematics categories.


This book provides a thorough and self-contained introduction to the $\bar{\partial}$-Neumann problem, leading up to current research, in the context of the $\mathcal{L}^{2}$-Sobolev theory on bounded pseudoconvex domains in $\mathbb{C}^{n}$. It grew out of courses for advanced graduate students and young researchers given by the author at the Erwin Schrodinger International Institute for Mathematical Physics and at Texas A & M University. The introductory chapter provides an overview of the contents and puts them in historical perspective. The second chapter presents the basic $\mathcal{L}^{2}$-theory. Following is a chapter on the subelliptic estimates on strictly pseudoconvex domains. The two final chapters on compactness and on regularity in Sobolev spaces bring the reader to the frontiers of research. Prerequisites are a solid background in basic complex and functional analysis, including the elementary $\mathcal{L}^{2}$-Sobolev theory and distributions. Some knowledge in several complex variables is helpful. Concerning partial differential equations, not much is assumed. The elliptic regularity of the Dirichlet problem for the Laplacian is quoted a few times, but the ellipticity results needed for elliptic regularization in the third chapter are proved from scratch.



Complex Geometry And Dynamics


Complex Geometry And Dynamics
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Author : John Erik Fornæss
language : en
Publisher: Springer
Release Date : 2015-11-05

Complex Geometry And Dynamics written by John Erik Fornæss and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-05 with Mathematics categories.


This book focuses on complex geometry and covers highly active topics centered around geometric problems in several complex variables and complex dynamics, written by some of the world’s leading experts in their respective fields. This book features research and expository contributions from the 2013 Abel Symposium, held at the Norwegian University of Science and Technology Trondheim on July 2-5, 2013. The purpose of the symposium was to present the state of the art on the topics, and to discuss future research directions.



Explorations In Complex And Riemannian Geometry


Explorations In Complex And Riemannian Geometry
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Author : John Bland
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Explorations In Complex And Riemannian Geometry written by John Bland and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.


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.



Convex And Complex Perspectives On Positivity In Geometry


Convex And Complex Perspectives On Positivity In Geometry
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Author : Robert J. Berman
language : en
Publisher: American Mathematical Society
Release Date : 2025-01-28

Convex And Complex Perspectives On Positivity In Geometry written by Robert J. Berman and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-28 with Mathematics categories.


This volume presents a collection of research articles arising from the conference on “Convex and Complex: Perspectives on Positivity in Geometry,” held in Cetraro, Italy, from October 31–November 4, 2022. The conference celebrated the 70th birthday of Bo Berndtsson and the vitality of current research across complex and convex geometry, as well as interactions between the two areas, all united by the overarching concept of positivity. Positivity plays a central role in complex and convex geometry. It arises from a range of complementary perspectives, as illustrated by the breadth of the papers appearing in this volume, including existence Kähler–Einstein edge metrics, Santaló-type inequalities, curvature of direct images of bundles, extension theorems for holomorphic functions, optimal transport and Hessian manifolds, interpolation and Brunn–Minkowski theory, and non-Archimedean geometry. The format of the workshop was innovative compared to standard conferences in mathematics, with focused 30-minute talks, aimed at stimulating lively discussions and a “flipped classroom” where the audience becomes more engaged and the speaker is not expected to transmit more information than listeners can possibly absorb. Lengthy breaks between talks and a relatively small number of talks allowed for useful time blocks for collaboration. This volume reflects the spirit of the conference, showcasing the vitality of current research in these areas as well as the profound impact of Bo Berndtsson's contributions to the field.



Analytic And Geometric Issues Of Complex Analysis


Analytic And Geometric Issues Of Complex Analysis
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Author :
language : en
Publisher:
Release Date : 2001

Analytic And Geometric Issues Of Complex Analysis written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematical analysis categories.