Entire Holomorphic Mappings in One and Several Complex Variables. (AM-85), Volume 85 / Phillip A. Griffiths.

Format:

Book

Author/Creator:

Griffiths, Phillip A., author.

Series:

Annals of mathematics studies ; Number 85.

Annals of Mathematics Studies ; 230

Language:

English

Subjects (All):

Holomorphic mappings.

Physical Description:

1 online resource (112 pages) : illustrations.

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

English

Summary:

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.

Contents:

Frontmatter

TABLE OF CONTENTS

INDEX OF NOTATIONS

INTRODUCTION

CHAPTER 1. ORDERS OF GROWTH

CHAPTER 2. THE APPEARANCE OF CURVATURE

CHAPTER 3. THE DEFECT RELATIONS

BIBLIOGRAPHY

Backmatter

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9781400881482

140088148X

OCLC:

979911331