Complex Dynamical Systems and the Geometry of Domains in Banach Spaces
Title | Complex Dynamical Systems and the Geometry of Domains in Banach Spaces PDF eBook |
Author | Mark Elin |
Publisher | |
Pages | 70 |
Release | 2004 |
Genre | Banach spaces |
ISBN |
Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces
Title | Nonlinear Semigroups, Fixed Points, and Geometry of Domains in Banach Spaces PDF eBook |
Author | Simeon Reich |
Publisher | Imperial College Press |
Pages | 374 |
Release | 2005 |
Genre | Mathematics |
ISBN | 1860945759 |
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.
Bounded Symmetric Domains In Banach Spaces
Title | Bounded Symmetric Domains In Banach Spaces PDF eBook |
Author | Cho-ho Chu |
Publisher | World Scientific |
Pages | 406 |
Release | 2020-09-10 |
Genre | Mathematics |
ISBN | 9811214123 |
This timely book exposes succinctly recent advances in the geometric and analytic theory of bounded symmetric domains. A unique feature is the unified treatment of both finite and infinite dimensional symmetric domains, using Jordan theory in tandem with Lie theory. The highlights include a generalized Riemann mapping theorem, which realizes a bounded symmetric domain as the open unit ball of a complex Banach space with a Jordan structure. Far-reaching applications of this realization in complex geometry and function theory are discussed.This monograph is intended as a convenient reference for researchers and graduate students in geometric analysis, infinite dimensional holomorphy as well as functional analysis and operator theory.
Complex Analysis and Dynamical Systems VI
Title | Complex Analysis and Dynamical Systems VI PDF eBook |
Author | Matania Ben-Artzi |
Publisher | American Mathematical Soc. |
Pages | 352 |
Release | 2015-12-03 |
Genre | Mathematics |
ISBN | 1470416530 |
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).
Complex Analysis and Dynamical Systems
Title | Complex Analysis and Dynamical Systems PDF eBook |
Author | Mark Agranovsky |
Publisher | Birkhäuser |
Pages | 373 |
Release | 2018-01-31 |
Genre | Mathematics |
ISBN | 3319701541 |
This book focuses on developments in complex dynamical systems and geometric function theory over the past decade, showing strong links with other areas of mathematics and the natural sciences. Traditional methods and approaches surface in physics and in the life and engineering sciences with increasing frequency – the Schramm‐Loewner evolution, Laplacian growth, and quadratic differentials are just a few typical examples. This book provides a representative overview of these processes and collects open problems in the various areas, while at the same time showing where and how each particular topic evolves. This volume is dedicated to the memory of Alexander Vasiliev.
Complex Analysis and Dynamical Systems VI
Title | Complex Analysis and Dynamical Systems VI PDF eBook |
Author | Lawrence Zalcman |
Publisher | American Mathematical Soc. |
Pages | 354 |
Release | 2016-05-19 |
Genre | Mathematics |
ISBN | 1470417030 |
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.
Complex Analysis and Dynamical Systems V
Title | Complex Analysis and Dynamical Systems V PDF eBook |
Author | Mark Lʹvovich Agranovskiĭ |
Publisher | American Mathematical Soc. |
Pages | 337 |
Release | 2013-06-03 |
Genre | Mathematics |
ISBN | 0821890247 |
This volume contains the proceedings of the Fifth International Conference on Complex Analysis and Dynamical Systems, held from May 22-27, 2011, in Akko (Acre), Israel. The papers cover a wide variety of topics in complex analysis and partial differential