Factorization of Bounded Holomorphic Functions on Riemann Surfaces PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Factorization of Bounded Holomorphic Functions on Riemann Surfaces PDF full book. Access full book title Factorization of Bounded Holomorphic Functions on Riemann Surfaces by Roy Wyatt Pengra. Download full books in PDF and EPUB format.
Author: Roy Wyatt Pengra
Publisher:
ISBN:
Category :
Languages : en
Pages : 108
Get Book Here
Book Description
Author: Roy Wyatt Pengra
Publisher:
ISBN:
Category :
Languages : en
Pages : 108
Get Book Here
Book Description
Author: Edgar Lee Stout
Publisher:
ISBN:
Category : Holomorphic functions
Languages : en
Pages : 172
Get Book Here
Book Description
Author: Wilhelm Schlag
Publisher: American Mathematical Society
ISBN: 0821898477
Category : Mathematics
Languages : en
Pages : 402
Get Book Here
Book Description
Complex analysis is a cornerstone of mathematics, making it an essential element of any area of study in graduate mathematics. Schlag's treatment of the subject emphasizes the intuitive geometric underpinnings of elementary complex analysis that naturally lead to the theory of Riemann surfaces. The book begins with an exposition of the basic theory of holomorphic functions of one complex variable. The first two chapters constitute a fairly rapid, but comprehensive course in complex analysis. The third chapter is devoted to the study of harmonic functions on the disk and the half-plane, with an emphasis on the Dirichlet problem. Starting with the fourth chapter, the theory of Riemann surfaces is developed in some detail and with complete rigor. From the beginning, the geometric aspects are emphasized and classical topics such as elliptic functions and elliptic integrals are presented as illustrations of the abstract theory. The special role of compact Riemann surfaces is explained, and their connection with algebraic equations is established. The book concludes with three chapters devoted to three major results: the Hodge decomposition theorem, the Riemann-Roch theorem, and the uniformization theorem. These chapters present the core technical apparatus of Riemann surface theory at this level. This text is intended as a detailed, yet fast-paced intermediate introduction to those parts of the theory of one complex variable that seem most useful in other areas of mathematics, including geometric group theory, dynamics, algebraic geometry, number theory, and functional analysis. More than seventy figures serve to illustrate concepts and ideas, and the many problems at the end of each chapter give the reader ample opportunity for practice and independent study.
Author: Lars Valerian Ahlfors
Publisher: Princeton University Press
ISBN: 0691079390
Category : Mathematics
Languages : en
Pages : 275
Get Book Here
Book Description
A classic treatment of Riemann surfaces from the acclaimed Annals of Mathematics Studies series Princeton University Press is proud to have published the Annals of Mathematics Studies since 1940. One of the oldest and most respected series in science publishing, it has included many of the most important and influential mathematical works of the twentieth century. The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.
Author: Terrence Napier
Publisher: Springer Science & Business Media
ISBN: 0817646930
Category : Mathematics
Languages : en
Pages : 563
Get Book Here
Book Description
This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the so-called L2 $\bar{\delta}$-method. This method is a powerful technique from the theory of several complex variables, and provides for a unique approach to the fundamentally different characteristics of compact and noncompact Riemann surfaces. The inclusion of continuing exercises running throughout the book, which lead to generalizations of the main theorems, as well as the exercises included in each chapter make this text ideal for a one- or two-semester graduate course.
Author: Maurice Heins
Publisher: Springer
ISBN: 3540361391
Category : Mathematics
Languages : en
Pages : 113
Get Book Here
Book Description
Author: Marco Abate
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110601974
Category : Mathematics
Languages : en
Pages : 372
Get Book Here
Book Description
This completely revised and updated edition of the one variable part of the author's classic older book "Iteration Theory of Holomorphic Maps on Taut Manifolds" presents the theory of holomorphic dynamical systems on hyperbolic Riemann surfaces from the very beginning of the subject up to the most recent developments. It is intended both as a reference book for the experts and as an accessible gateway to this beautiful theory for Master and Ph.D. students. It also contains extensive historical notes and references for further readings.
Author: Lars Valerian Ahlfors
Publisher: Princeton University Press
ISBN: 1400822491
Category : Mathematics
Languages : en
Pages : 433
Get Book Here
Book Description
Intended for researchers in Riemann surfaces, this volume summarizes a significant portion of the work done in the field during the years 1966 to 1971.
Author: R. Narasimhan
Publisher: Birkhäuser
ISBN: 3034886179
Category : Mathematics
Languages : en
Pages : 127
Get Book Here
Book Description
Author: M. Namba
Publisher: Springer
ISBN: 3540385185
Category : Mathematics
Languages : en
Pages : 297
Get Book Here
Book Description
