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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Harmonic Approximation

Harmonic Approximation

Gardiner, Stephen J.
Stephen J., Gardiner

Paperback

Series: London Mathematical Society Lecture Note, Book 221

AlgebraGeneral MathematicsProbability & Statistics

ISBN10: 052149799X
ISBN13: 9780521497992
Publisher: Cambridge University Press
Published: May 18 1995
Pages: 148
Weight: 0.49
Height: 0.37 Width: 6.08 Depth: 9.03
Language: English
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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