Topology On Spaces Of Holomorphic Mappings
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Topology On Spaces Of Holomorphic Mappings
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Author : Leopoldo Nachbin
language : en
Publisher:
Release Date : 1969
Topology On Spaces Of Holomorphic Mappings written by Leopoldo Nachbin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Analytic functions categories.
Some Aspects Of Holomorphic Mappings
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Author : Leopoldo Nachbin
language : en
Publisher:
Release Date : 1968
Some Aspects Of Holomorphic Mappings written by Leopoldo Nachbin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Banach spaces categories.
Introduction To Holomorphy
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Author : J.A. Barroso
language : en
Publisher: Elsevier
Release Date : 2000-04-01
Introduction To Holomorphy written by J.A. Barroso and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-04-01 with Mathematics categories.
This book presents a set of basic properties of holomorphic mappings between complex normed spaces and between complex locally convex spaces. These properties have already achieved an almost definitive form and should be known to all those interested in the study of infinite dimensional Holomorphy and its applications. The author also makes ``incursions'' into the study of the topological properties of the spaces of holomorphic mappings between spaces of infinite dimension. An attempt is then made to show some of the several topologies that can naturally be considered in these spaces. Infinite dimensional Holomorphy appears as a theory rich in fascinating problems and rich in applications to other branches of Mathematics and Mathematical Physics.
Stein Manifolds And Holomorphic Mappings
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Author : Franc Forstnerič
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-08-27
Stein Manifolds And Holomorphic Mappings written by Franc Forstnerič 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 2011-08-27 with Mathematics categories.
The main theme of this book is the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds. The book contains the first complete account of Oka-Grauert theory and its modern extensions, initiated by Mikhail Gromov and developed in the last decade by the author and his collaborators. Included is the first systematic presentation of the theory of holomorphic automorphisms of complex Euclidean spaces, a survey on Stein neighborhoods, connections between the geometry of Stein surfaces and Seiberg-Witten theory, and a wide variety of applications ranging from classical to contemporary.
Hyperbolic Manifolds And Holomorphic Mappings
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Author : Shoshichi Kobayashi
language : en
Publisher: World Scientific
Release Date : 2005
Hyperbolic Manifolds And Holomorphic Mappings written by Shoshichi Kobayashi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.
The first edition of this influential book, published in 1970, opened up a completely new field of invariant metrics and hyperbolic manifolds. The large number of papers on the topics covered by the book written since its appearance led Mathematical Reviews to create two new subsections ?invariant metrics and pseudo-distances? and ?hyperbolic complex manifolds? within the section ?holomorphic mappings?. The invariant distance introduced in the first edition is now called the ?Kobayashi distance?, and the hyperbolicity in the sense of this book is called the ?Kobayashi hyperbolicity? to distinguish it from other hyperbolicities. This book continues to serve as the best introduction to hyperbolic complex analysis and geometry and is easily accessible to students since very little is assumed. The new edition adds comments on the most recent developments in the field.
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."
Numerical Range Of Holomorphic Mappings And Applications
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Author : Mark Elin
language : en
Publisher: Springer
Release Date : 2019-03-11
Numerical Range Of Holomorphic Mappings And Applications written by Mark Elin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-11 with Mathematics categories.
This book describes recent developments as well as some classical results regarding holomorphic mappings. The book starts with a brief survey of the theory of semigroups of linear operators including the Hille-Yosida and the Lumer-Phillips theorems. The numerical range and the spectrum of closed densely defined linear operators are then discussed in more detail and an overview of ergodic theory is presented. The analytic extension of semigroups of linear operators is also discussed. The recent study of the numerical range of composition operators on the unit disk is mentioned. Then, the basic notions and facts in infinite dimensional holomorphy and hyperbolic geometry in Banach and Hilbert spaces are presented, L. A. Harris' theory of the numerical range of holomorphic mappings is generalized, and the main properties of the so-called quasi-dissipative mappings and their growth estimates are studied. In addition, geometric and quantitative analytic aspects of fixed point theory are discussed. A special chapter is devoted to applications of the numerical range to diverse geometric and analytic problems.
Hyperbolic Complex Spaces
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Author : Shoshichi Kobayashi
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Hyperbolic Complex Spaces written by Shoshichi Kobayashi 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 2013-03-09 with Mathematics categories.
In the three decades since the introduction of the Kobayashi distance, the subject of hyperbolic complex spaces and holomorphic mappings has grown to be a big industry. This book gives a comprehensive and systematic account on the Carathéodory and Kobayashi distances, hyperbolic complex spaces and holomorphic mappings with geometric methods. A very complete list of references should be useful for prospective researchers in this area.
Holomorphy And Calculus In Normed Spates
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Author : S. B. Chae
language : en
Publisher: CRC Press
Release Date : 1985-04-29
Holomorphy And Calculus In Normed Spates written by S. B. Chae and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-04-29 with Mathematics categories.
This book presents a systematic introduction to the theory of holomorphic mappings in normed spaces which has been scattered throughout the literature. It gives the necessary, elementary background for all branches of modern mathematics involving differential calculus in higher dimensional spaces.
Extension Of Holomorphic Functions
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Author : Marek Jarnicki
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2020-05-05
Extension Of Holomorphic Functions written by Marek Jarnicki 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 2020-05-05 with Mathematics categories.
This second extended edition of the classic reference on the extension problem of holomorphic functions in pluricomplex analysis contains a wealth of additional material, organized under the original chapter structure, and covers in a self-contained way all new and recent developments and theorems that appeared since the publication of the first edition about twenty years ago.