On the Polynomial Hulls of the Unions of Convex Sets in [complex Number]n

On the Polynomial Hulls of the Unions of Convex Sets in [complex Number]n PDF Author: Carl Douglas Mueller
Publisher:
ISBN:
Category :
Languages : en
Pages : 182

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On the Polynomial Hulls of the Unions of Convex Sets in [complex Number]n

On the Polynomial Hulls of the Unions of Convex Sets in [complex Number]n PDF Author: Carl Douglas Mueller
Publisher:
ISBN:
Category :
Languages : en
Pages : 182

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Book Description


Polynomial Convexity

Polynomial Convexity PDF Author: Edgar Lee Stout
Publisher: Springer Science & Business Media
ISBN: 0817645381
Category : Mathematics
Languages : en
Pages : 454

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Book Description
This comprehensive monograph details polynomially convex sets. It presents the general properties of polynomially convex sets with particular attention to the theory of the hulls of one-dimensional sets. Coverage examines in considerable detail questions of uniform approximation for the most part on compact sets but with some attention to questions of global approximation on noncompact sets. The book also discusses important applications and motivates the reader with numerous examples and counterexamples, which serve to illustrate the general theory and to delineate its boundaries.

Polynomial Convexity

Polynomial Convexity PDF Author: Edgar Lee Stout
Publisher: Springer Science & Business Media
ISBN: 0817645373
Category : Mathematics
Languages : en
Pages : 454

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Book Description
This comprehensive monograph details polynomially convex sets. It presents the general properties of polynomially convex sets with particular attention to the theory of the hulls of one-dimensional sets. Coverage examines in considerable detail questions of uniform approximation for the most part on compact sets but with some attention to questions of global approximation on noncompact sets. The book also discusses important applications and motivates the reader with numerous examples and counterexamples, which serve to illustrate the general theory and to delineate its boundaries.

Proceedings of the Conference on Complex Analysis

Proceedings of the Conference on Complex Analysis PDF Author: A. Aeppli
Publisher: Springer Science & Business Media
ISBN: 3642480160
Category : Mathematics
Languages : en
Pages : 316

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Book Description
This volume contains the articles contributed to the Minnesota Con ference on Complex Analysis (COCA). The Conference was held March 16-21, 1964, at the University of Minnesota, under the sponsorship of the U. S. Air Force Office of Scientific Research with thirty-one invited participants attending. Of these, nineteen presented their papers in person in the form of one-hour lectures. In addition, this volume con tains papers contributed by other attending participants as well as by participants who, after having planned to attend, were unable to do so. The list of particip ants, as well as the contributions to these Proceed ings, clearly do not represent a complete coverage of the activities in all fields of complex analysis. It is hoped, however, that these limitations stemming from the partly deliberate selections will allow a fairly com prehensive account of the current research in some of those areas of complex analysis that, in the editors' belief, have rapidly developed during the past decade and may remain as active in the foreseeable future as they are at the present time. In conclusion, the editors wish to thank, first of all, the participants and contributors to these Proceedings for their enthusiastic cooperation and encouragement. Our thanks are due also to the University of Min nesota, for offering the physical facilities for the Conference, and to Springer-Verlag for publishing these proceedings.

Lectures On Convex Sets

Lectures On Convex Sets PDF Author: Valeriu Soltan
Publisher: World Scientific
ISBN: 9814656712
Category : Mathematics
Languages : en
Pages : 416

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Book Description
This book provides a systematic treatment of algebraic and topological properties of convex sets (possibly non-closed or unbounded) in the n-dimensional Euclidean space. Topics under consideration include general properties of convex sets and convex hulls, cones and conic hulls, polyhedral sets, the extreme structure, support and separation properties of convex sets.Lectures on Convex Sets is self-contained and unified in presentation. The book grew up out of various courses on geometry and convexity, taught by the author for more than a decade. It can be used as a textbook for graduate students and even ambitious undergraduates in mathematics, optimization, and operations research. It may also be viewed as a supplementary book for a course on convex geometry or convex analysis, or as a source for independent study of the subject, suitable for non-geometers.

Several Complex Variables and Banach Algebras

Several Complex Variables and Banach Algebras PDF Author: Herbert Alexander
Publisher: Springer Science & Business Media
ISBN: 0387225862
Category : Mathematics
Languages : en
Pages : 265

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Book Description
A development of some of the principal applications of function theory in several complex variables to Banach algebras. The authors do not presuppose any knowledge of several complex variables on the part of the reader, and all relevant material is developed within the text. Furthermore, the book deals with problems of uniform approximation on compact subsets of the space of n complex variables. This third edition contains new material on maximum modulus algebras and subharmonicity, the hull of a smooth curve, integral kernels, perturbations of the Stone-Weierstrass Theorem, boundaries of analytic varieties, polynomial hulls of sets over the circle, areas, and the topology of hulls. The authors have also included a new chapter commenting on history and recent developments, as well as an updated and expanded reading list.

Convex Sets

Convex Sets PDF Author: Frederick Albert Valentine
Publisher:
ISBN:
Category : Convex sets
Languages : en
Pages : 258

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Mathematical Physics and Complex Analysis

Mathematical Physics and Complex Analysis PDF Author: L. D. Faddeev
Publisher: American Mathematical Soc.
ISBN: 9780821831205
Category : Mathematics
Languages : en
Pages : 336

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Book Description
A collection of survey papers on the 50th anniversary of the institute.

Complex Analysis and Geometry

Complex Analysis and Geometry PDF Author: Vincenzo Ancona
Publisher: CRC Press
ISBN: 9780582292765
Category : Mathematics
Languages : en
Pages : 204

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Book Description
Based on two conferences held in Trento, Italy, this volume contains 13 research papers and two survey papers on complex analysis and complex algebraic geometry. The main topics addressed by these leading researchers include: Mori theory polynomial hull vector bundles q-convexity Lie groups and actions on complex spaces hypercomplex structures pseudoconvex domains projective varieties Peer-reviewed and extensively referenced, Complex Analysis and Geometry contains recent advances and important research results. It also details several problems that remain open, the resolution of which could further advance the field.

Analytic Theory of Polynomials

Analytic Theory of Polynomials PDF Author: Qazi Ibadur Rahman
Publisher: Oxford University Press
ISBN: 9780198534938
Category : Language Arts & Disciplines
Languages : en
Pages : 760

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Book Description
Presents easy to understand proofs of same of the most difficult results about polynomials demonstrated by means of applications