Harmonic Function Theory

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Springer Science & Business Media, Jan 25, 2001 - Mathematics - 259 pages
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The authors have taken unusual care to motivate concepts and simplify proofs in this book about harmonic functions in Euclidean space. Readers with a background in real and complex analysis at the beginning graduate level will feel comfortable with the ma
 

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Contents

XPTER
3
PTER
7
itive Harmonic Functions
45
PTER 4
58
PTER 5
73
Explicit Bases of 3mR and 9mS
92
Exercises
106
The Hilbert Space I12 B
121
Positive Harmonic Functions on the Upper HalfSpace
157
PTER 8
170
The Reproducing Kernel of the Upper HalfSpace
185
Removable Sets for Bounded Harmonic Functions
201
The Residue Theorem 2 13
217
The Perron Construction
226
ENDIX
239
ex
255

monic Functions on HalfSpaces
143

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