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Harmonic Approximation by Stephen J. Gardiner
Harmonic Approximation by Stephen J. Gardiner
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Harmonic Approximation

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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.
Release date Australia
May 18th, 1995
Audience
  • Professional & Vocational
Illustrations
3 Line drawings, unspecified
Pages
148
Dimensions
153x228x10
ISBN-13
9780521497992
Product ID
2066157

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