The Schwarz Lemma

Author: Sean Dineen

Publisher: Courier Dover Publications

ISBN: 0486801209

Category: Mathematics

Page: 256

View: 7369

Originally published: Oxford: Clarendon Press, 1989.

Complex Analysis and Dynamical Systems VI

Author: Lawrence Zalcman

Publisher: American Mathematical Soc.

ISBN: 1470417030

Category: Calculus of variations

Page: 316

View: 4560

This volume contains the proceedings of the Sixth International Conference on Complex Analysis and Dynamical Systems, held from May 19–24, 2013, in Nahariya, Israel, in honor of David Shoikhet's sixtieth birthday. The papers range over a wide variety of topics in complex analysis, quasiconformal mappings, and complex dynamics. Taken together, the articles provide the reader with a panorama of activity in these areas, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis. The companion volume (Contemporary Mathematics, Volume 653) is devoted to partial differential equations, differential geometry, and radon transforms.

In the Tradition of Ahlfors and Bers, III

The Ahlfors-Bers Colloquium, October 18-21, 2001, University of Connecticut at Storrs

Author: William Abikoff,Andrew Haas

Publisher: American Mathematical Soc.

ISBN: 0821836072

Category: Mathematics

Page: 351

View: 4545

This proceedings volume reflects the 2001 Ahlfors-Bers Colloquium held at the University of Connecticut (Storrs). This conference began nearly a half century ago with a tradition based on profound mathematics, wide-ranging interests, personal involvement, and scholarship. Once led by Lipman Bers and Lars Ahlfors, the core of this tradition unfolded around geometric function theory. Talks at the colloquium were devoted to various aspects of complex analysis, including Teichmuller spaces, quasiconformal mappings, and geometric function theory. The book is suitable for graduate students and researchers interested in complex analysis.

Kleinian Groups and Hyperbolic 3-Manifolds

Proceedings of the Warwick Workshop, September 11–14, 2001

Author: Y. Komori,V. Markovic,C. Series

Publisher: Cambridge University Press

ISBN: 9781139437233

Category: Mathematics

Page: N.A

View: 8319

The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, with many old problems and conjectures close to resolution. This volume, proceedings of the Warwick workshop in September 2001, contains expositions of many of these breakthroughs including Minsky's lectures on the first half of the proof of the Ending Lamination Conjecture, the Bers Density Conjecture by Brock and Bromberg, the Tameness Conjecture by Kleineidam and Souto, the state of the art in cone manifolds by Hodgson and Kerckhoff, and the counter example to Thurston's K=2 conjecture by Epstein, Marden and Markovic. It also contains Jørgensen's famous paper 'On pairs of once punctured tori' in print for the first time. The excellent collection of papers here will appeal to graduate students, who will find much here to inspire them, and established researchers who will find this valuable as a snapshot of current research.

Pluripotential Theory

Author: Maciej Klimek

Publisher: Oxford University Press on Demand


Category: Mathematics

Page: 266

View: 6199

Pluripotential theory is a recently developed non-linear complex counterpart of classical potential theory. Its main area of application is multidimensional complex analysis. The central part of the pluripotential theory is occupied by maximal plurisubharmonic functions and the generalized complex Monge-Ampere operator. The interplay between these two concepts provides the focal point of this monograph, which contains an up-to-date account of the developments from the large volume of recent work in this area. A substantial proportion of the work is devoted to classical properties of subharmonic and plurisubharmonic functions, which makes the pluripotential theory available for the first time to a wide audience of analysts.

Hardy Classes and Operator Theory

Author: Marvin Rosenblum,James Rovnyak

Publisher: Courier Corporation

ISBN: 9780486695365

Category: Mathematics

Page: 161

View: 1077

Concise treatment focuses on theory of shift operators, Toeplitz operators and Hardy classes of vector- and operator-valued functions. Topics include general theory of shift operators on a Hilbert space, use of lifting theorem to give a unified treatment of interpolation theorems of the Pick-Nevanlinna and Loewner types, more. Appendix. Bibliography. 1985 edition.

Symmetric Functions and Hall Polynomials

Author: Ian Grant Macdonald

Publisher: Oxford University Press

ISBN: 9780198504504

Category: Mathematics

Page: 475

View: 653

This new and much expanded edition of a well-received book remains the only text available on the subject of symmetric functions and Hall polynomials. There are new sections in almost every chapter, and many new examples have been included throughout.

Art Gallery Theorems and Algorithms

Author: Joseph O'Rourke

Publisher: Oxford University Press, USA


Category: Mathematics

Page: 282

View: 5901

Art gallery theorems and algorithms are so called because they relate to problems involving the visibility of geometrical shapes and their internal surfaces. This book explores generalizations and specializations in these areas. Among the presentations are recently discovered theorems on orthogonal polygons, polygons with holes, exterior visibility, visibility graphs, and visibility in three dimensions. The author formulates many open problems and offers several conjectures, providing arguments which may be followed by anyone familiar with basic graph theory and algorithms. This work may be applied to robotics and artificial intelligence as well as other fields, and will be especially useful to computer scientists working with computational and combinatorial geometry.