Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces


Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces
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Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces


Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces
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Author : Simeon Reich
language : en
Publisher: Imperial College Press
Release Date : 2005

Nonlinear Semigroups Fixed Points And Geometry Of Domains In Banach Spaces written by Simeon Reich and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.


Nonlinear semigroup theory is not only of intrinsic interest, but is also important in the study of evolution problems. In the last forty years, the generation theory of flows of holomorphic mappings has been of great interest in the theory of Markov stochastic branching processes, the theory of composition operators, control theory, and optimization. It transpires that the asymptotic behavior of solutions to evolution equations is applicable to the study of the geometry of certain domains in complex spaces. Readers are provided with a systematic overview of many results concerning both nonlinear semigroups in metric and Banach spaces and the fixed point theory of mappings, which are nonexpansive with respect to hyperbolic metrics (in particular, holomorphic self-mappings of domains in Banach spaces). The exposition is organized in a readable and intuitive manner, presenting basic functional and complex analysis as well as very recent developments. Contents: Mappings in Metric and Normed Spaces; Differentiable and Holomorphic Mappings in Banach Spaces; Hyperbolic Metrics on Domains in Complex Banach Spaces; Some Fixed Point Principles; The DenjoyOCoWolff Fixed Point Theory; Generation Theory for One-Parameter Semigroups; Flow-Invariance Conditions; Stationary Points of Continuous Semigroups; Asymptotic Behavior of Continuous Flows; Geometry of Domains in Banach Spaces."



Complex Dynamical Systems And The Geometry Of Domains In Banach Spaces


Complex Dynamical Systems And The Geometry Of Domains In Banach Spaces
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Author : Mark Elin
language : en
Publisher:
Release Date : 2004

Complex Dynamical Systems And The Geometry Of Domains In Banach Spaces written by Mark Elin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Banach spaces categories.




Fixed Point Theory In Ordered Sets And Applications


Fixed Point Theory In Ordered Sets And Applications
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Author : Siegfried Carl
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-17

Fixed Point Theory In Ordered Sets And Applications written by Siegfried Carl 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 2010-11-17 with Mathematics categories.


This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures. The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. In the treatment of the applications a wide range of mathematical theories and methods from nonlinear analysis and integration theory are applied; an outline of which has been given an appendix chapter to make the book self-contained. Graduate students and researchers in nonlinear analysis, pure and applied mathematics, game theory and mathematical economics will find this book useful.



Complex Analysis And Dynamical Systems Vi


Complex Analysis And Dynamical Systems Vi
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Author : Lawrence Zalcman
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-05-19

Complex Analysis And Dynamical Systems Vi written by Lawrence Zalcman 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 2016-05-19 with Calculus of variations categories.


This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19–24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers range over a wide variety of topics in complex analysis, quasiconformal mappings, and complex dynamics. Taken together, the articles provide the reader with a panorama of activity in these areas, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 653) is devoted to partial differential equations, differential geometry, and radon transforms.



Topics In Mathematical Analysis And Applications


Topics In Mathematical Analysis And Applications
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Author : Themistocles M. Rassias
language : en
Publisher: Springer
Release Date : 2014-10-13

Topics In Mathematical Analysis And Applications written by Themistocles M. Rassias and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-13 with Mathematics categories.


This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent scientists from the international mathematical community. Special emphasis is given to new results that have been obtained in the above mentioned disciplines in which Nonlinear Analysis plays a central role. Some review papers published in this volume will be particularly useful for a broader readership in Mathematical Analysis, as well as for graduate students. An attempt is given to present all subjects in this volume in a unified and self-contained manner, to be particularly useful to the mathematical community.



Complex Analysis And Dynamical Systems Vi Part 1 Pde Differential Geometry Radon Transform


Complex Analysis And Dynamical Systems Vi Part 1 Pde Differential Geometry Radon Transform
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Author : Matania Ben-Artzi
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-12-03

Complex Analysis And Dynamical Systems Vi Part 1 Pde Differential Geometry Radon Transform written by Matania Ben-Artzi 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 2015-12-03 with Calculus of variations categories.


This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19-24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers in this volume range over a wide variety of topics in Partial Differential Equations, Differential Geometry, and the Radon Transform. Taken together, the articles collected here provide the reader with a panorama of activity in partial differential equations and general relativity, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 667) is devoted to complex analysis, quasiconformal mappings, and complex dynamics. This book is co-published with Bar-Ilan University (Ramat-Gan, Israel).



Continuous Semigroups Of Holomorphic Self Maps Of The Unit Disc


Continuous Semigroups Of Holomorphic Self Maps Of The Unit Disc
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Author : Filippo Bracci
language : en
Publisher: Springer Nature
Release Date : 2020-02-14

Continuous Semigroups Of Holomorphic Self Maps Of The Unit Disc written by Filippo Bracci and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-14 with Mathematics categories.


The book faces the interplay among dynamical properties of semigroups, analytical properties of infinitesimal generators and geometrical properties of Koenigs functions. The book includes precise descriptions of the behavior of trajectories, backward orbits, petals and boundary behavior in general, aiming to give a rather complete picture of all interesting phenomena that occur. In order to fulfill this task, we choose to introduce a new point of view, which is mainly based on the intrinsic dynamical aspects of semigroups in relation with the hyperbolic distance and a deep use of Carathéodory prime ends topology and Gromov hyperbolicity theory. This work is intended both as a reference source for researchers interested in the subject, and as an introductory book for beginners with a (undergraduate) background in real and complex analysis. For this purpose, the book is self-contained and all non-standard (and, mostly, all standard) results are proved in details.



Geometric Function Theory In Higher Dimension


Geometric Function Theory In Higher Dimension
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Author : Filippo Bracci
language : en
Publisher: Springer
Release Date : 2018-03-24

Geometric Function Theory In Higher Dimension written by Filippo Bracci and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-24 with Mathematics categories.


The book collects the most relevant outcomes from the INdAM Workshop “Geometric Function Theory in Higher Dimension” held in Cortona on September 5-9, 2016. The Workshop was mainly devoted to discussions of basic open problems in the area, and this volume follows the same line. In particular, it offers a selection of original contributions on Loewner theory in one and higher dimensions, semigroups theory, iteration theory and related topics. Written by experts in geometric function theory in one and several complex variables, it focuses on new research frontiers in this area and on challenging open problems. The book is intended for graduate students and researchers working in complex analysis, several complex variables and geometric function theory.



Harmonic And Complex Analysis And Its Applications


Harmonic And Complex Analysis And Its Applications
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Author : Alexander Vasil'ev
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-09

Harmonic And Complex Analysis And Its Applications written by Alexander Vasil'ev 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 2013-11-09 with Mathematics categories.


This volume highlights the main results of the research performed within the network “Harmonic and Complex Analysis and its Applications” (HCAA), which was a five-year (2007–2012) European Science Foundation Programme intended to explore and to strengthen the bridge between two scientific communities: analysts with broad backgrounds in complex and harmonic analysis and mathematical physics, and specialists in physics and applied sciences. It coordinated actions for advancing harmonic and complex analysis and for expanding its application to challenging scientific problems. Particular topics considered by this Programme included conformal and quasiconformal mappings, potential theory, Banach spaces of analytic functions and their applications to the problems of fluid mechanics, conformal field theory, Hamiltonian and Lagrangian mechanics, and signal processing. This book is a collection of surveys written as a result of activities of the Programme and will be interesting and useful for professionals and novices in analysis and mathematical physics, as well as for graduate students. Browsing the volume, the reader will undoubtedly notice that, as the scope of the Programme is rather broad, there are many interrelations between the various contributions, which can be regarded as different facets of a common theme.



Holomorphic Dynamics On Hyperbolic Riemann Surfaces


Holomorphic Dynamics On Hyperbolic Riemann Surfaces
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Author : Marco Abate
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-12-05

Holomorphic Dynamics On Hyperbolic Riemann Surfaces written by Marco Abate and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-05 with Mathematics categories.


This completely revised and updated edition of the one variable part of the author's classic older book "Iteration Theory of Holomorphic Maps on Taut Manifolds" presents the theory of holomorphic dynamical systems on hyperbolic Riemann surfaces from the very beginning of the subject up to the most recent developments. It is intended both as a reference book for the experts and as an accessible gateway to this beautiful theory for Master and Ph.D. students. It also contains extensive historical notes and references for further readings.