Ebook: Natural Function Algebras

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Content:
Front Matter....Pages i-xiii
The Category of Pairs....Pages 1-13
Convexity and Naturality....Pages 14-30
The ?ilov Boundary and Local Maximum Principle....Pages 31-43
Holomorphic Functions....Pages 44-56
Maximum Properties of Holomorphic Functions....Pages 57-72
Subharmonic Functions....Pages 73-94
Varieties....Pages 95-107
Holomorphic and Subharmonic Convexity....Pages 108-123
[?, a]-Domains....Pages 124-135
Holomorphic Extensions of [?, a]-Domains....Pages 136-151
Holomorphy Theory for Dual Pairs of Vector Spaces....Pages 152-171
<E, F> -Domains of Holomorphy....Pages 172-192
Dual Pair Theory Applied to [?, a]-Domains....Pages 193-209
Holomorphic Extensions of ?-Domains....Pages 210-229
Back Matter....Pages 230-240

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Content:
Front Matter....Pages i-xiii
The Category of Pairs....Pages 1-13
Convexity and Naturality....Pages 14-30
The ?ilov Boundary and Local Maximum Principle....Pages 31-43
Holomorphic Functions....Pages 44-56
Maximum Properties of Holomorphic Functions....Pages 57-72
Subharmonic Functions....Pages 73-94
Varieties....Pages 95-107
Holomorphic and Subharmonic Convexity....Pages 108-123
[?, a]-Domains....Pages 124-135
Holomorphic Extensions of [?, a]-Domains....Pages 136-151
Holomorphy Theory for Dual Pairs of Vector Spaces....Pages 152-171
<E, F> -Domains of Holomorphy....Pages 172-192
Dual Pair Theory Applied to [?, a]-Domains....Pages 193-209
Holomorphic Extensions of ?-Domains....Pages 210-229
Back Matter....Pages 230-240
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