Wow! eBook
Harmonic Approximation: 221
Author(s): Stephen Gardiner (Author)
- Publisher: Cambridge University Press
- Publication Date: 29 Jan. 2010
- Language: English
- Print length: 148 pages
- ISBN-10: 052149799X
- ISBN-13: 9780521497992
Book Description
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.
Editorial Reviews
Review
“This monograph should make the main results and techniques of harmonic approximation, much of which has been developed in the last 20 years, more familiar to a wider circle of mathematicians.” P. Lappan, Mathematical Reviews
Book Description
This book is aimed at graduate students and researchers who have some knowledge of subharmonic functions, or an interest in holomorphic approximation.
