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The Geometry Of Complex Domains
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Book Synopsis The Geometry of Complex Domains by : Robert E. Greene
Download or read book The Geometry of Complex Domains written by Robert E. Greene and published by Springer Science & Business Media. This book was released on 2011-05-18 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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.
Book Synopsis The Geometry of the Complex Domain by : Julian Lowell Coolidge
Download or read book The Geometry of the Complex Domain written by Julian Lowell Coolidge and published by . This book was released on 1924 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Geometry of the Complex Domain by : Julian Lowell Coolidge
Download or read book The Geometry of the Complex Domain written by Julian Lowell Coolidge and published by . This book was released on 1969 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Geometry of Domains in Space by : Steven G. Krantz
Download or read book The Geometry of Domains in Space written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of Euclidean space is well-developed. The classical Lie groups that act naturally on Euclidean space-the rotations, dilations, and trans lations-have both shaped and guided this development. In particular, the Fourier transform and the theory of translation invariant operators (convolution transforms) have played a central role in this analysis. Much modern work in analysis takes place on a domain in space. In this context the tools, perforce, must be different. No longer can we expect there to be symmetries. Correspondingly, there is no longer any natural way to apply the Fourier transform. Pseudodifferential operators and Fourier integral operators can playa role in solving some of the problems, but other problems require new, more geometric, ideas. At a more basic level, the analysis of a smoothly bounded domain in space requires a great deal of preliminary spadework. Tubular neighbor hoods, the second fundamental form, the notion of "positive reach", and the implicit function theorem are just some of the tools that need to be invoked regularly to set up this analysis. The normal and tangent bundles become part of the language of classical analysis when that analysis is done on a domain. Many of the ideas in partial differential equations-such as Egorov's canonical transformation theorem-become rather natural when viewed in geometric language. Many of the questions that are natural to an analyst-such as extension theorems for various classes of functions-are most naturally formulated using ideas from geometry.
Book Synopsis Geometry of Complex Domains by : Oswald Veblen
Download or read book Geometry of Complex Domains written by Oswald Veblen and published by . This book was released on 1936 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry of Complex Domains by : Oswald Veblen
Download or read book Geometry of Complex Domains written by Oswald Veblen and published by . This book was released on 1955 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cycle Spaces of Flag Domains by : Gregor Fels
Download or read book Cycle Spaces of Flag Domains written by Gregor Fels and published by Springer Science & Business Media. This book was released on 2005-12-12 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: Driven by numerous examples from the complex geometric viewpoint New results presented for the first time Widely accessible, with all necessary background material provided for the nonspecialist Comparisons with classical Barlet cycle spaces are given Good bibliography and index
Book Synopsis Microdifferential Systems in the Complex Domain by : P. Schapira
Download or read book Microdifferential Systems in the Complex Domain written by P. Schapira and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: The words "microdifferential systems in the complex domain" refer to seve ral branches of mathematics: micro local analysis, linear partial differential equations, algebra, and complex analysis. The microlocal point of view first appeared in the study of propagation of singularities of differential equations, and is spreading now to other fields of mathematics such as algebraic geometry or algebraic topology. How ever it seems that many analysts neglect very elementary tools of algebra, which forces them to confine themselves to the study of a single equation or particular square matrices, or to carryon heavy and non-intrinsic formula tions when studying more general systems. On the other hand, many alge braists ignore everything about partial differential equations, such as for example the "Cauchy problem", although it is a very natural and geometri cal setting of "inverse image". Our aim will be to present to the analyst the algebraic methods which naturally appear in such problems, and to make available to the algebraist some topics from the theory of partial differential equations stressing its geometrical aspects. Keeping this goal in mind, one can only remain at an elementary level.
Download or read book Geometry of Complex Domains written by and published by . This book was released on 1955 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry of Complex Domains by : Oswald Veblen
Download or read book Geometry of Complex Domains written by Oswald Veblen and published by . This book was released on 1958 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis and Geometry on Complex Homogeneous Domains by : Jacques Faraut
Download or read book Analysis and Geometry on Complex Homogeneous Domains written by Jacques Faraut and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 539 pages. Available in PDF, EPUB and Kindle. Book excerpt: A 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.
Download or read book Geometry of Complex Domains written by and published by . This book was released on 1958 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry of Complex Domains by : Oswald Veblen
Download or read book Geometry of Complex Domains written by Oswald Veblen and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry of Complex Domains by : Institute for Advanced Study (Princeton, N.J.)
Download or read book Geometry of Complex Domains written by Institute for Advanced Study (Princeton, N.J.) and published by . This book was released on 1955 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry of Complex Domains by : Oswald Veblen
Download or read book Geometry of Complex Domains written by Oswald Veblen and published by . This book was released on 1955 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry of Complex Domains by : Oswald Veblen
Download or read book Geometry of Complex Domains written by Oswald Veblen and published by . This book was released on 1955 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry of Complex Domains by : Oswald Veblen
Download or read book Geometry of Complex Domains written by Oswald Veblen and published by . This book was released on 1972* with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
