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# đź“™ Geometric Function Theory in One and Higher Dimensions by Ian Graham, Gabriela Kohr â€” download pdf

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Combining classical results in univalent function theory with recent analogous results in higher dimensions, this text offers a unique overview of the field and details results leading to improvements in existence theorems for the Loewner differential equation in higher dimensions. Graham (mathematics, U. of Toronto) and Kohr (mathematics and computer science, Babes-Bolyai U., Romania) discuss compactness of the analog of the CarathĂ©odory class in several variables, Loewner chains in several variables, linear-invariant families applied to the Euclidean unit ball and the polydisc, Bloch mappings, and infinite-dimensional theory of univalent mappings. The book concludes with a study of the Roper-Suffridge extension operator"

## About book:

## About file:

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- Series:
**Monographs and textbooks in pure and applied mathematics 255** - Author:
**Ian Graham, Gabriela Kohr** - Year:
**2003** - Publisher:
**Marcel Dekker** - Language:
**English** - ISBN:
**0824709764,9780824709761,9780824748241**

- File size:
**19 096 600** - Format:
**pdf**

Security code:

Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. ...

This book presents applications of hypercomplex analysis to boundary value and initial-boundary value problems from various areas of mathematical physics. Given that quaternion and Clifford analysis offer natural and intelligent ways to enter into higher ...

This book is based on lectures on geometric function theory given by the author at Leningrad State University. It studies univalent conformal mapping of simply and multiply connected domains, conformal mapping of multiply connected domains onto a disk, ap...

This book is a study of how a particular vision of the unity of mathematics, often called geometric function theory, was created in the 19th century. The central focus is on the convergence of three mathematical topics: the hypergeometric and related line...

This book is an introduction to the theory of entire and meromorphic functions intended for advanced graduate students in mathematics and for professional mathematicians. The book provides a clear treatment of the Nevanlinna theory of value distribution o...

The papers in this volume cover a wide variety of topics in the geometric theory of functions of one and several complex variables, including univalent functions, conformal and quasiconformal mappings, and dynamics in infinite-dimensional spaces. In addit...

Function Theory in the Unit Ball of Cn. From the reviews: "â€¦The book is easy on the reader. The prerequisites are minimalâ€”just the standard graduate introduction to real analysis, complex analysis (one variable), and functional analysis. This presentation...

The book starts with an introduction to Geometric Invariant Theory (GIT). The fundamental results of Hilbert and Mumford are exposed as well as more recent topics such as the instability flag, the finiteness of the number of quotients, and the variation o...

A book on history and theory which takes a fresh new look at the whole subject. It takes as its starting point historical ideas and thought about the past - rather than falling into the usual pattern of endlessly debating what history as a discipline does...

Historians have long struggled with the questions of historical relativism, objectivity, and standards of proof and evidence. Intellectual historian Alan Spitzer focuses on the contradiction between theory and practice by presenting case studies of four p...

This compendium of over 500 entries on the most important and relevant personalities, programs, activities, and agencies of U.S. intelligence, beginning with the Sons of Liberty before the onset of the Revolutionary War until the most recent reorganizatio...

This volume is a compilation of the U.S. federal special prosecutor/independent counsel investigations spanning the complete twenty-one year tenure from 1978-1999 of the independent counsel statute. The entries include individuals who have served as inves...

The culmination of many years of research, this book discusses ancient and medieval eclipse observations and their importance in studying Earth's past rotation. This is the first major book on this subject in twenty years. The author has specialized for m...

This third edition focuses on the Sudan in Islamic times from the 14th century to the present. There is more on the sultanates of Sinnar and Dar Fur, the Mahdiya, and the history of Islam in the Sudan, especially the chronology and analysis of significant...

This dictionary attempts to present a balanced and objective view of South Korea, providing a long perspective and covering varied aspects of South Korean life. Nahm includes domestic, political, and social events, foreign affairs, economic and cultural d...