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.Read more
- First book on harmonic approximation
- Covers wide-ranging applications
- Right up-to-date
Not yet reviewed
Be the first to review
Review was not posted due to profanity×
- Date Published: May 1995
- format: Paperback
- isbn: 9780521497992
- length: 148 pages
- dimensions: 228 x 153 x 10 mm
- weight: 0.224kg
- contains: 3 b/w illus.
- availability: Available
Table of Contents
1. Review of thin sets
2. Approximation on compact sets
3. Fusion of harmonic functions
4. Approximation on relatively closed sets
5. Carleman approximation
6. Tangential approximation at infinity
7. Subharmonic extension and approximation
8. The Dirichlet problem with non-compact boundary
9. Further applications.
Sorry, this resource is locked
Please register or sign in to request access. If you are having problems accessing these resources please email firstname.lastname@example.orgRegister Sign in
You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.Continue ×
Are you sure you want to delete your account?
This cannot be undone.
Thank you for your feedback which will help us improve our service.
If you requested a response, we will make sure to get back to you shortly.×