Continuous Semigroups of Holomorphic Self-Maps of the Unit Disc, Bracci Filippo, Contreras Manuel D., Dнaz-Madrigal Santiago

Автор: Vasile Brinzanescu
Название: Holomorphic Vector Bundles over Compact Complex Surfaces
ISBN: 3540610189 ISBN-13(EAN): 9783540610182
Издательство: Springer
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Цена: 32600.00 T
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Описание: This text discusses the existence problem and the classification problem for holomorphic structures in a given topological vector bundle over a compact complex surface. It also considers irreducible vector bundles and stability with respect to a Gauduchon metric.

Автор: G?rlebeck
Название: Application of Holomorphic Functions in Two and Higher Dimensions
ISBN: 303480962X ISBN-13(EAN): 9783034809627
Издательство: Springer
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Цена: 102480.00 T
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Описание: 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 Schr?dinger 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 Throughout the book the authors endeavor to present historical references and important personalities.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.

Автор: Christoph Hummel
Название: Gromov`s Compactness Theorem for Pseudo-holomorphic Curves
ISBN: 3034898428 ISBN-13(EAN): 9783034898423
Издательство: Springer
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Описание: This book presents the original proof of Gromov`s compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint.

Автор: Michele Audin; Jacques Lafontaine
Название: Holomorphic Curves in Symplectic Geometry
ISBN: 3034896565 ISBN-13(EAN): 9783034896566
Издательство: Springer
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Автор: Andr? Unterberger
Название: Quantization and Non-holomorphic Modular Forms
ISBN: 3540678611 ISBN-13(EAN): 9783540678618
Издательство: Springer
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Цена: 37220.00 T
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Описание: This is a new approach to the theory of non-holomorphic modular forms, based on ideas from quantization theory or pseudodifferential analysis.

Автор: Roelof Bruggeman, Youngju Choie, Nikolaos Diamantis
Название: Holomorphic Automorphic Forms and Cohomology
ISBN: 1470428555 ISBN-13(EAN): 9781470428556
Издательство: Mare Nostrum (Eurospan)
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Цена: 77610.00 T
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Описание: Investigates the correspondence between holomorphic automorphic forms on the upper half-plane with complex weight and parabolic cocycles. For integral weights at least $2$ this correspondence is given by the Eichler integral. The authors use Knopp`s generalization of this integral to real weights, and apply it to complex weights that are not an integer at least $2$.

Автор: Urs Frauenfelder; Otto van Koert
Название: The Restricted Three-Body Problem and Holomorphic Curves
ISBN: 3030101800 ISBN-13(EAN): 9783030101800
Издательство: Springer
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Цена: 102480.00 T
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Описание: The book serves as an introduction to holomorphic curves in symplectic manifolds, focusing on the case of four-dimensional symplectizations and symplectic cobordisms, and their applications to celestial mechanics. The authors study the restricted three-body problem using recent techniques coming from the theory of pseudo-holomorphic curves. The book starts with an introduction to relevant topics in symplectic topology and Hamiltonian dynamics before introducing some well-known systems from celestial mechanics, such as the Kepler problem and the restricted three-body problem. After an overview of different regularizations of these systems, the book continues with a discussion of periodic orbits and global surfaces of section for these and more general systems. The second half of the book is primarily dedicated to developing the theory of holomorphic curves - specifically the theory of fast finite energy planes - to elucidate the proofs of the existence results for global surfaces of section stated earlier. The book closes with a chapter summarizing the results of some numerical experiments related to finding periodic orbits and global surfaces of sections in the restricted three-body problem.This book is also part of the Virtual Series on Symplectic Geometryhttp://www.springer.com/series/16019

Автор: Franc Forstneri?
Название: Stein Manifolds and Holomorphic Mappings
ISBN: 3319610570 ISBN-13(EAN): 9783319610573
Издательство: Springer
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Цена: 121110.00 T
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Описание: The theme of this book is an examination of the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds, offering the first complete account of Oka-Grauert theory and its modern extensions.

Автор: Carlo Gasbarri, Steven Lu, Mike Roth, Yuri Tschinkel
Название: Rational Points, Rational Curves, and Entire Holomorphic Curves on Projective Varieties
ISBN: 1470414589 ISBN-13(EAN): 9781470414580
Издательство: Mare Nostrum (Eurospan)
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Цена: 104410.00 T
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Описание: Contains papers from the Short Thematic Program on Rational Points, Rational Curves, and Entire Holomorphic Curves and Algebraic Varieties, held in June 2013. The program was dedicated to the study of subtle interconnections between geometric and arithmetic properties of higher-dimensional algebraic varieties.

Автор: Casim Abbas; Helmut Hofer
Название: Holomorphic Curves and Global Questions in Contact Geometry
ISBN: 3030118029 ISBN-13(EAN): 9783030118020
Издательство: Springer
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Цена: 60550.00 T
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Описание: This book explains the foundations of holomorphic curve theory in contact geometry. By using a particular geometric problem as a starting point the authors guide the reader into the subject. As such it ideally serves as preparation and as entry point for a deeper study of the analysis underlying symplectic field theory.An introductory chapter sets the stage explaining some of the basic notions of contact geometry and the role of holomorphic curves in the field. The authors proceed to the heart of the material providing a detailed exposition about finite energy planes and periodic orbits (chapter 4) to disk filling methods and applications (chapter 9).The material is self-contained. It includes a number of technical appendices giving the geometric analysis foundations for the main results, so that one may easily follow the discussion. Graduate students as well as researchers who want to learn the basics of this fast developing theory will highly appreciate this accessible approach taken by the authors.

Автор: Chris Wendl
Название: Lectures on Contact 3-Manifolds, Holomorphic Curves and Intersection Theory
ISBN: 1108497403 ISBN-13(EAN): 9781108497404
Издательство: Cambridge Academ
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Цена: 121440.00 T
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Описание: Based on a series of lectures for students in topology, this book provides an entry point into the intersection theory of punctured holomorphic curves. Appendices featuring quick reference guides for applying the theory and self-contained proofs of key technical results also make it a valuable resource for researchers.

Автор: Luna-Elizarrarбs M. Elena
Название: Bicomplex Holomorphic Functions
ISBN: 3319248669 ISBN-13(EAN): 9783319248660
Издательство: Springer
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Цена: 46570.00 T
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Описание:

Introduction.- 1.The Bicomplex Numbers.- 2.Algebraic Structures of the Set of Bicomplex Numbers.- 3.Geometry and Trigonometric Representations of Bicomplex.- 4.Lines and curves in BC.- 5.Limits and Continuity.- 6.Elementary Bicomplex Functions.- 7.Bicomplex Derivability and Differentiability.- 8.Some properties of bicomplex holomorphic functions.- 9.Second order complex and hyperbolic differential operators.- 10.Sequences and series of bicomplex functions.- 11.Integral formulas and theorems.- Bibliography.