TY  - BOOK
AU  - Gardiner,Stephen J.
TI  - Harmonic Approximation
T2  - London Mathematical Society Lecture Note Series
SN  - 9780511526220 (ebook)
AV  - QA403  .G36 1995
U1  - 515/.785 20
PY  - 1995///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Harmonic analysis
KW  - Approximation theory
N1  - Title from publisher's bibliographic system (viewed on 16 Oct 2015)
N2  - 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
UR  - http://dx.doi.org/10.1017/CBO9780511526220
ER  -