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Convex and Starlike Mappings in Several Complex Variables: 435 (Mathematics and Its Applications, 435) - Hardcover
Synopsis
This interesting book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underly- ing theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions. Because the author's introduction provides an excellent overview of the content of the book, I will not duplicate the effort here. Rather, I will place the book into historical context. The theory of univalent functions long has been an important part of the study of holomorphic functions of one complex variable. The roots of the subject go back to the famous Riemann Mapping Theorem which asserts that a simply connected region n which is a proper subset of the complex plane C is biholomorphically equivalent to the open unit disk ~. That is, there is a univalent function (holo- morphic bijection) I : ~ -+ n. In the early part of this century work began to focus on the class S of normalized (f (0) = 0 and I' (0) = 1) univalent functions defined on the unit disk. The restriction to uni- valent functions defined on the unit disk is justified by the Riemann Mapping Theorem. The subject contains many beautiful results that were obtained by fundamental techniques developed by many mathe- maticians, including Koebe, Bieberbach, Loewner, Goluzin, Grunsky, and Schiffer. The best-known aspect of univalent function theory is the so-called Bieberbach conjecture which was proved by de Branges in 1984.
"synopsis" may belong to another edition of this title.
Synopsis
This book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underlying theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions. The book gathers together, and presents in a unified manner, the current state of affairs for convex and starlike biholomorphic mappings in several complex variables. This volume should be of interest to research mathematicians whose work involves several complex variables and one complex variable.
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Convex and Starlike Mapping in Several Complex Variables.
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Hardcover. Condition: Sehr gut. Dordrecht, Kluwer (1998). gr.8°. XIII, 199 p. Hardbound. (back slightly faded).- Mathematics and its Applications, 435.- Incl. bibliography. Seller Inventory # 82277
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Convex and Starlike Mappings in Several Complex Variables.
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Convex and Starlike Mappings in Several Complex Variables
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Convex and Starlike Mappings in Several Complex Variables (Mathematics and Its Applications, 435)
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Convex and Starlike Mappings in Several Complex Variables
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Convex and Starlike Mappings in Several Complex Variables
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This interesting book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underly ing theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions. Because the author's introduction provides an excellent overview of the content of the book, I will not duplicate the effort here. Rather, I will place the book into historical context. The theory of univalent functions long has been an important part of the study of holomorphic functions of one complex variable. The roots of the subject go back to the famous Riemann Mapping Theorem which asserts that a simply connected region n which is a proper subset of the complex plane C is biholomorphically equivalent to the open unit disk ~. That is, there is a univalent function (holo morphic bijection) I : ~ -+ n. In the early part of this century work began to focus on the class S of normalized (f (0) = 0 and I' (0) = 1) univalent functions defined on the unit disk. The restriction to uni valent functions defined on the unit disk is justified by the Riemann Mapping Theorem. The subject contains many beautiful results that were obtained by fundamental techniques developed by many mathe maticians, including Koebe, Bieberbach, Loewner, Goluzin, Grunsky, and Schiffer. The best-known aspect of univalent function theory is the so-called Bieberbach conjecture which was proved by de Branges in 1984. 228 pp. Englisch. Seller Inventory # 9780792349648
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Convex and Starlike Mappings in Several Complex Variables
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Convex and Starlike Mappings in Several Complex Variables
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Introduction: Introduction. Counterexamples. I. Criteria for Starlikeness for Holomorphic Mappings. II. Criteria for Convexity for Holomorphic Mappings. III. The Growth Theorem for Holomorphic Starlike Mappings. IV. The Growth Theorem for Holomorphic Co. Seller Inventory # 5968393
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Convex and Starlike Mappings in Several Complex Variables
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This interesting book deals with the theory of convex and starlike biholomorphic mappings in several complex variables. The underly ing theme is the extension to several complex variables of geometric aspects of the classical theory of univalent functions. Because the author's introduction provides an excellent overview of the content of the book, I will not duplicate the effort here. Rather, I will place the book into historical context. The theory of univalent functions long has been an important part of the study of holomorphic functions of one complex variable. The roots of the subject go back to the famous Riemann Mapping Theorem which asserts that a simply connected region n which is a proper subset of the complex plane C is biholomorphically equivalent to the open unit disk ~. That is, there is a univalent function (holo morphic bijection) I : ~ -+ n. In the early part of this century work began to focus on the class S of normalized (f (0) = 0 and I' (0) = 1) univalent functions defined on the unit disk. The restriction to uni valent functions defined on the unit disk is justified by the Riemann Mapping Theorem. The subject contains many beautiful results that were obtained by fundamental techniques developed by many mathe maticians, including Koebe, Bieberbach, Loewner, Goluzin, Grunsky, and Schiffer. The best-known aspect of univalent function theory is the so-called Bieberbach conjecture which was proved by de Branges in 1984. Seller Inventory # 9780792349648
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