Griffiths Entire Holomorphic Mappings in One and Several Complex Variables

1. Auflage 2016
ISBN: 978-1-4008-8148-2
Verlag: De Gruyter
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 110 Seiten

Reihe: Annals of Mathematics Studies

The present monograph grew out of the fifth set of Hermann Weyl Lectures, given by Professor Griffiths at the Institute for Advanced Study, Princeton, in fall 1974.

In Chapter 1 the author discusses Emile Borel's proof and the classical Jensen theorem, order of growth of entire analytic sets, order functions for entire holomorphic mappings, classical indicators of orders of growth, and entire functions and varieties of finite order.

Chapter 2 is devoted to the appearance of curvature, and Chapter 3 considers the defect relations. The author considers the lemma on the logarithmic derivative, R. Nevanlinna's proof of the defect relation, and refinements of the classical case.

Autoren/Hrsg.

Griffiths, Phillip A.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis

Inhaltsverzeichnis

Frontmatter, pg. i
TABLE OF CONTENTS, pg. vii
INDEX OF NOTATIONS, pg. ix
INTRODUCTION, pg. 1
CHAPTER 1. ORDERS OF GROWTH, pg. 8
CHAPTER 2. THE APPEARANCE OF CURVATURE, pg. 40
CHAPTER 3. THE DEFECT RELATIONS, pg. 65
BIBLIOGRAPHY, pg. 97
Backmatter, pg. 100