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Harmonic Approximation by Stephen J. Gardiner

Harmonic Approximation

by Stephen J. Gardiner , Gardiner Stephen J.
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Book cover type: Paperback
  • ISBN13: 9780521497992
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date: N/A
  • Pages: 148
  • Original Price: GBP 50.0
  • Language: English
  • Edition: N/A
  • Item Weight: 223 grams
  • BISAC Subject(s): Mathematical Analysis

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. The author draws inspiration 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 (potential theory), or an interest in holomorphic approximation.

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