Complex Analysis and Digital Geometry
Author: Mikael Passare
Publisher:
Published: 2009
Total Pages: 382
ISBN-13:
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Author: Mikael Passare
Publisher:
Published: 2009
Total Pages: 382
ISBN-13:
DOWNLOAD EBOOKAuthor: Vincenzo Ancona
Publisher: Springer Science & Business Media
Published: 2013-11-11
Total Pages: 418
ISBN-13: 1475797710
DOWNLOAD EBOOKThe papers in this wide-ranging collection report on the results of investigations from a number of linked disciplines, including complex algebraic geometry, complex analytic geometry of manifolds and spaces, and complex differential geometry.
Author: Reinhard Klette
Publisher: Morgan Kaufmann
Published: 2004-08-06
Total Pages: 676
ISBN-13: 1558608613
DOWNLOAD EBOOKThe first book on digital geometry by the leaders in the field.
Author: Thomas Peternell
Publisher:
Published: 1977
Total Pages: 0
ISBN-13: 9783111744896
DOWNLOAD EBOOKAuthor: Daniel Barlet
Publisher: Springer Nature
Published: 2020-01-03
Total Pages: 545
ISBN-13: 3030311635
DOWNLOAD EBOOKThe book consists of a presentation from scratch of cycle space methodology in complex geometry. Applications in various contexts are given. A significant portion of the book is devoted to material which is important in the general area of complex analysis. In this regard, a geometric approach is used to obtain fundamental results such as the local parameterization theorem, Lelong' s Theorem and Remmert's direct image theorem. Methods involving cycle spaces have been used in complex geometry for some forty years. The purpose of the book is to systematically explain these methods in a way which is accessible to graduate students in mathematics as well as to research mathematicians. After the background material which is presented in the initial chapters, families of cycles are treated in the last most important part of the book. Their topological aspects are developed in a systematic way and some basic, important applications of analytic families of cycles are given. The construction of the cycle space as a complex space, along with numerous important applications, is given in the second volume. The present book is a translation of the French version that was published in 2014 by the French Mathematical Society.
Author: Jacques Faraut
Publisher: Springer Science & Business Media
Published: 1999-12-10
Total Pages: 568
ISBN-13: 9780817641382
DOWNLOAD EBOOKA number of important topics in complex analysis and geometry are covered in this excellent introductory text. Written by experts in the subject, each chapter unfolds from the basics to the more complex. The exposition is rapid-paced and efficient, without compromising proofs and examples that enable the reader to grasp the essentials. The most basic type of domain examined is the bounded symmetric domain, originally described and classified by Cartan and Harish- Chandra. Two of the five parts of the text deal with these domains: one introduces the subject through the theory of semisimple Lie algebras (Koranyi), and the other through Jordan algebras and triple systems (Roos). Larger classes of domains and spaces are furnished by the pseudo-Hermitian symmetric spaces and related R-spaces. These classes are covered via a study of their geometry and a presentation and classification of their Lie algebraic theory (Kaneyuki). In the fourth part of the book, the heat kernels of the symmetric spaces belonging to the classical Lie groups are determined (Lu). Explicit computations are made for each case, giving precise results and complementing the more abstract and general methods presented. Also explored are recent developments in the field, in particular, the study of complex semigroups which generalize complex tube domains and function spaces on them (Faraut). This volume will be useful as a graduate text for students of Lie group theory with connections to complex analysis, or as a self-study resource for newcomers to the field. Readers will reach the frontiers of the subject in a considerably shorter time than with existing texts.
Author: Robert E. Greene
Publisher: Springer Science & Business Media
Published: 2011-05-18
Total Pages: 310
ISBN-13: 0817646221
DOWNLOAD EBOOKThis work examines a rich tapestry of themes and concepts and provides a comprehensive treatment of an important area of mathematics, while simultaneously covering a broader area of the geometry of domains in complex space. At once authoritative and accessible, this text touches upon many important parts of modern mathematics: complex geometry, equivalent embeddings, Bergman and Kahler geometry, curvatures, differential invariants, boundary asymptotics of geometries, group actions, and moduli spaces. The Geometry of Complex Domains can serve as a “coming of age” book for a graduate student who has completed at least one semester or more of complex analysis, and will be most welcomed by analysts and geometers engaged in current research.
Author: Reiner Kuhnau
Publisher: Elsevier
Published: 2002-12-05
Total Pages: 549
ISBN-13: 0080532810
DOWNLOAD EBOOKGeometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers.· A collection of independent survey articles in the field of GeometricFunction Theory · Existence theorems and qualitative properties of conformal and quasiconformal mappings · A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane)
Author: Henri Skoda
Publisher: Springer-Verlag
Published: 2013-08-13
Total Pages: 261
ISBN-13: 3663141969
DOWNLOAD EBOOKAuthor: Giuseppe Zampieri
Publisher: American Mathematical Soc.
Published: 2008
Total Pages: 200
ISBN-13: 9781470421878
DOWNLOAD EBOOKCauchy-Riemann (CR) geometry studies manifolds equipped with a system of CR-type equations. This study has become dynamic in differential geometry and in non-linear differential equations, but many find it challenging, particularly considering the range of topics students must master (including real/complex differential and symplectic geometry) to use CR effectively. Zampieri takes graduate students through the material in remarkably gentle fashion, first covering complex variables such as Cauchy formulas in polydiscs, Levi forms and the logarithmic supermean of the Taylor radius of holomorphic functions, real structures, including Euclidean spaces, real synthetic spaces (the Frobenius-Darboux theorem), and real/complex structures such as CR manifolds and mappings, real/complex symplectic spaces, iterated commutators (Bloom-Graham normal forms) and separate real analyticity.