Andreotti Grauert Theory By Integral Formulas
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Andreotti Grauert Theory By Integral Formulas
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Author : G. M. Henkin
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2022-01-19
Andreotti Grauert Theory By Integral Formulas written by G. M. Henkin 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 2022-01-19 with Mathematics categories.
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Andreotti Grauert Theory By Integral Formulas
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Author : Chenkin
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-22
Andreotti Grauert Theory By Integral Formulas written by Chenkin 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 2013-11-22 with Social Science categories.
Andreotti Grauert Theory By Integral Formulas
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Author : G. M. Henkin
language : en
Publisher:
Release Date : 2014-09-01
Andreotti Grauert Theory By Integral Formulas written by G. M. Henkin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-01 with categories.
Andreotti Grauert Theory By Integral Formulas
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Author : G M J Henkin Leiterer
language : en
Publisher: Mathematical Research
Release Date : 1988-12-31
Andreotti Grauert Theory By Integral Formulas written by G M J Henkin Leiterer and has been published by Mathematical Research this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-12-31 with categories.
Geometric Complex Analysis Proceedings Of The Third International Research Institute Of Mathematical Society Of Japan
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Author : J Noguchi
language : en
Publisher: World Scientific
Release Date : 1996-05-09
Geometric Complex Analysis Proceedings Of The Third International Research Institute Of Mathematical Society Of Japan written by J Noguchi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-09 with categories.
This proceedings is a collection of articles in several complex variables with emphasis on geometric methods and results, which includes several survey papers reviewing the development of the topics in these decades. Through this volume one can see an active field providing insight into other fields like algebraic geometry, dynamical systems and partial differential equations.
Radon Integrals
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Author : B. Anger
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Radon Integrals written by B. Anger 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 2012-12-06 with Mathematics categories.
In topological measure theory, Radon measures are the most important objects. In the context of locally compact spaces, there are two equivalent canonical definitions. As a set function, a Radon measure is an inner compact regular Borel measure, finite on compact sets. As a functional, it is simply a positive linear form, defined on the vector lattice of continuous real-valued functions with compact support. During the last few decades, in particular because of the developments of modem probability theory and mathematical physics, attention has been focussed on measures on general topological spaces which are no longer locally compact, e.g. spaces of continuous functions or Schwartz distributions. For a Radon measure on an arbitrary Hausdorff space, essentially three equivalent definitions have been proposed: As a set function, it was defined by L. Schwartz as an inner compact regular Borel measure which is locally bounded. G. Choquet considered it as a strongly additive right continuous content on the lattice of compact subsets. Following P.A. Meyer, N. Bourbaki defined a Radon measure as a locally uniformly bounded family of compatible positive linear forms, each defined on the vector lattice of continuous functions on some compact subset.
Analytic Continuation And Q Convexity
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Author : Takeo Ohsawa
language : en
Publisher: Springer Nature
Release Date : 2022-06-02
Analytic Continuation And Q Convexity written by Takeo Ohsawa and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-06-02 with Mathematics categories.
The focus of this book is on the further development of the classical achievements in analysis of several complex variables, the analytic continuation and the analytic structure of sets, to settings in which the q-pseudoconvexity in the sense of Rothstein and the q-convexity in the sense of Grauert play a crucial role. After giving a brief survey of notions of generalized convexity and their most important results, the authors present recent statements on analytic continuation related to them. Rothstein (1955) first introduced q-pseudoconvexity using generalized Hartogs figures. Słodkowski (1986) defined q-pseudoconvex sets by means of the existence of exhaustion functions which are q-plurisubharmonic in the sense of Hunt and Murray (1978). Examples of q-pseudoconvex sets appear as complements of analytic sets. Here, the relation of the analytic structure of graphs of continuous surfaces whose complements are q-pseudoconvex is investigated. As an outcome, the authors generalize results by Hartogs (1909), Shcherbina (1993), and Chirka (2001) on the existence of foliations of pseudoconcave continuous real hypersurfaces by smooth complex ones. A similar generalization is obtained by a completely different approach using L2-methods in the setting of q-convex spaces. The notion of q-convexity was developed by Rothstein (1955) and Grauert (1959) and extended to q-convex spaces by Andreotti and Grauert (1962). Andreotti–Grauert's finiteness theorem was applied by Andreotti and Norguet (1966–1971) to extend Grauert's solution of the Levi problem to q-convex spaces. A consequence is that the sets of (q-1)-cycles of q-convex domains with smooth boundaries in projective algebraic manifolds, which are equipped with complex structures as open subsets of Chow varieties, are in fact holomorphically convex. Complements of analytic curves are studied, and the relation of q-convexity and cycle spaces is explained. Finally, results for q-convex domains in projective spaces are shown and the q-convexity in analytic families is investigated.
Toroidal Groups
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Author : Yukitaka Abe
language : en
Publisher: Springer
Release Date : 2003-07-01
Toroidal Groups written by Yukitaka Abe and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Mathematics categories.
Toroidal groups are the connecting link between torus groups and any complex Lie groups. Many properties of complex Lie groups such as the pseudoconvexity and cohomology are determined by their maximal toroidal subgroups. Quasi-Abelian varieties are meromorphically separable toroidal groups. They are the natural generalisation of the Abelian varieties. Nevertheless, their behavior can be completely different as the wild groups show.
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.
Complex Analysis And Geometry
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Author : Vincenzo Ancona
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Complex Analysis And Geometry written by Vincenzo Ancona 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 2013-11-11 with Mathematics categories.
The 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.