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Finite Or Infinite Dimensional Complex Analysis


Finite Or Infinite Dimensional Complex Analysis
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Finite Or Infinite Dimensional Complex Analysis And Applications


Finite Or Infinite Dimensional Complex Analysis And Applications
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Author : Le Hung Son
language : en
Publisher: Springer
Release Date : 2003-11-30

Finite Or Infinite Dimensional Complex Analysis And Applications written by Le Hung Son and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-30 with Mathematics categories.


There is almost no field in Mathematics which does not use Mathe matical Analysis. Computer methods in Applied Mathematics, too, are often based on statements and procedures of Mathematical Analysis. An important part of Mathematical Analysis is Complex Analysis because it has many applications in various branches of Mathematics. Since the field of Complex Analysis and its applications is a focal point in the Vietnamese research programme, the Hanoi University of Technology organized an International Conference on Finite or Infinite Dimensional Complex Analysis and Applications which took place in Hanoi from August 8 - 12, 2001. This conference th was the 9 one in a series of conferences which take place alternately in China, Japan, Korea and Vietnam each year. The first one took place th at Pusan University in Korea in 1993. The preceding 8 conference was th held in Shandong in China in August 2000. The 9 conference of the was the first one which took place above mentioned series of conferences in Vietnam. Present trends in Complex Analysis reflected in the present volume are mainly concentrated in the following four research directions: 1 Value distribution theory (including meromorphic funtions, mero morphic mappings, as well as p-adic functions over fields of finite or zero characteristic) and its applications, 2 Holomorphic functions in several (finitely or infinitely many) com plex variables, 3 Clifford Analysis, i.e., complex methods in higher-dimensional real Euclidian spaces, 4 Generalized analytic functions.



Finite Or Infinite Dimensional Complex Analysis


Finite Or Infinite Dimensional Complex Analysis
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Author : Joji Kajiwara
language : en
Publisher: CRC Press
Release Date : 2000-07-11

Finite Or Infinite Dimensional Complex Analysis written by Joji Kajiwara and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-07-11 with Mathematics categories.


This volume presents the proceedings of the Seventh International Colloquium on Finite or Infinite Dimensional Complex Analysis held in Fukuoka, Japan. The contributions offer multiple perspectives and numerous research examples on complex variables, Clifford algebra variables, hyperfunctions and numerical analysis.



Finite Or Infinite Dimensional Complex Analysis


Finite Or Infinite Dimensional Complex Analysis
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Author : Lo Yang
language : en
Publisher:
Release Date : 2001

Finite Or Infinite Dimensional Complex Analysis written by Lo Yang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Complex analysis categories.




Nevanlinna Theory And Its Relation To Diophantine Approximation Second Edition


Nevanlinna Theory And Its Relation To Diophantine Approximation Second Edition
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Author : Min Ru
language : en
Publisher: World Scientific
Release Date : 2021-03-10

Nevanlinna Theory And Its Relation To Diophantine Approximation Second Edition written by Min Ru and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-10 with Mathematics categories.


This book describes the theories and developments in Nevanlinna theory and Diophantine approximation. Although these two subjects belong to the different areas: one in complex analysis and one in number theory, it has been discovered that a number of striking similarities exist between these two subjects. A growing understanding of these connections has led to significant advances in both fields. Outstanding conjectures from decades ago are being solved.Over the past 20 years since the first edition appeared, there have been many new and significant developments. The new edition greatly expands the materials. In addition, three new chapters were added. In particular, the theory of algebraic curves, as well as the algebraic hyperbolicity, which provided the motivation for the Nevanlinna theory.



Complex Potential Theory


Complex Potential Theory
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Author : Paul M. Gauthier
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Complex Potential Theory written by Paul M. Gauthier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures, Montréal, Canada, July 26--August 6, 1993



Handbook Of Teichm Ller Theory


Handbook Of Teichm Ller Theory
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Author : Athanase Papadopoulos
language : en
Publisher: European Mathematical Society
Release Date : 2007

Handbook Of Teichm Ller Theory written by Athanase Papadopoulos 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 2007 with Mathematics categories.


This multi-volume set deals with Teichmuller theory in the broadest sense, namely, as the study of moduli space of geometric structures on surfaces, with methods inspired or adapted from those of classical Teichmuller theory. The aim is to give a complete panorama of this generalized Teichmuller theory and of its applications in various fields of mathematics. The volumes consist of chapters, each of which is dedicated to a specific topic. The volume has 19 chapters and is divided into four parts: The metric and the analytic theory (uniformization, Weil-Petersson geometry, holomorphic families of Riemann surfaces, infinite-dimensional Teichmuller spaces, cohomology of moduli space, and the intersection theory of moduli space). The group theory (quasi-homomorphisms of mapping class groups, measurable rigidity of mapping class groups, applications to Lefschetz fibrations, affine groups of flat surfaces, braid groups, and Artin groups). Representation spaces and geometric structures (trace coordinates, invariant theory, complex projective structures, circle packings, and moduli spaces of Lorentz manifolds homeomorphic to the product of a surface with the real line). The Grothendieck-Teichmuller theory (dessins d'enfants, Grothendieck's reconstruction principle, and the Teichmuller theory of the solenoid). This handbook is an essential reference for graduate students and researchers interested in Teichmuller theory and its ramifications, in particular for mathematicians working in topology, geometry, algebraic geometry, dynamical systems and complex analysis. The authors are leading experts in the field.



Application Of Holomorphic Functions In Two And Higher Dimensions


Application Of Holomorphic Functions In Two And Higher Dimensions
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Author : Klaus Gürlebeck
language : en
Publisher: Springer
Release Date : 2016-06-20

Application Of Holomorphic Functions In Two And Higher Dimensions written by Klaus Gürlebeck and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-20 with Mathematics categories.


This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics. Given that quaternion and Clifford analysis offer natural and intelligent ways to enter into higher dimensions, it starts with quaternion and Clifford versions of complex function theory including series expansions with Appell polynomials, as well as Taylor and Laurent series. Several necessary function spaces are introduced, and an operator calculus based on modifications of the Dirac, Cauchy-Fueter, and Teodorescu operators and different decompositions of quaternion Hilbert spaces are proved. Finally, hypercomplex Fourier transforms are studied in detail. All this is then applied to first-order partial differential equations such as the Maxwell equations, the Carleman-Bers-Vekua system, the Schrödinger equation, and the Beltrami equation. The higher-order equations start with Riccati-type equations. Further topics include spatial fluid flow problems, image and multi-channel processing, image diffusion, linear scale invariant filtering, and others. One of the highlights is the derivation of the three-dimensional Kolosov-Mushkelishvili formulas in linear elasticity. Throughout the book the authors endeavor to present historical references and important personalities. The book is intended for a wide audience in the mathematical and engineering sciences and is accessible to readers with a basic grasp of real, complex, and functional analysis.



Complex Analysis And Applications


Complex Analysis And Applications
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Author : Yuefei Wang
language : en
Publisher: World Scientific
Release Date : 2006

Complex Analysis And Applications written by Yuefei Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.


This valuable collection of articles presents the latest methods and results in complex analysis and its applications. The present trends in complex analysis reflected in the book are concentrated in the following research directions: Clifford analysis, complex dynamical systems, complex function spaces, complex numerical analysis, qusiconformal mapping, Riemann surfaces, Teichmller theory and Klainian groups, several complex variables, and value distribution theory.



Geometric Function Theory And Related Topics


Geometric Function Theory And Related Topics
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Author : Sudeb Mitra
language : en
Publisher: American Mathematical Society
Release Date : 2025-06-03

Geometric Function Theory And Related Topics written by Sudeb Mitra 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 2025-06-03 with Mathematics categories.


This volume contains the proceedings of the 29th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications, held August 21–25, 2023, at Pondicherry University, Puducherry, India. It covers a wide range of papers on complex analysis and provides a broad survey of the present state of research in various aspects of geometric function theory. The papers in this volume reflect the directions of research in different areas of finite- and infinite-dimensional complex analysis and also give the reader an idea of how these branches of complex analysis intersect with other areas of mathematics. They will be suitable for specialists as well as aspiring researchers who are interested in various areas of geometric function theory.



Complex Analysis And Applications Proceedings Of The 13th International Conference On Finite Or Infinite Dimensional Complex Analysis And Applications


Complex Analysis And Applications Proceedings Of The 13th International Conference On Finite Or Infinite Dimensional Complex Analysis And Applications
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Author : Hasi Wulan
language : en
Publisher: World Scientific
Release Date : 2006-07-18

Complex Analysis And Applications Proceedings Of The 13th International Conference On Finite Or Infinite Dimensional Complex Analysis And Applications written by Hasi Wulan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-07-18 with Mathematics categories.


This valuable collection of articles presents the latest methods and results in complex analysis and its applications. The present trends in complex analysis reflected in the book are concentrated in the following research directions: Clifford analysis, complex dynamical systems, complex function spaces, complex numerical analysis, qusiconformal mapping, Riemann surfaces, Teichmüller theory and Klainian groups, several complex variables, and value distribution theory.