Overview

The subject of harmonic approximation has recently matured into a coherent research area with extensive applications. This is the first book to give a systematic account of these developments, beginning with classical results concerning uniform approximation on compact sets, and progressing through fusion techniques to deal with approximation on unbounded sets. All the time inspiration is drawn from holomorphic results such as the well-known theorems of Runge and Mergelyan. The final two chapters deal with wide-ranging and surprising applications to the Dirichlet problem, maximum principle, Radon transform and the construction of pathological harmonic functions. This book is aimed at graduate students and researchers who have some knowledge of subharmonic functions, or an interest in holomorphic approximation.
ISBN-13

9780521497992

ISBN-10

052149799X

Weight

0.49 Pounds

Dimensions

6.00 x 0.37 x 9.00 In

List Price

$44.99

Edition

1st Edition

Format

Paperback

Language

English

Pages

148 pages

Publisher

Cambridge University Press

Published On

1995-05-18


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