Notions of convexity
著者
書誌事項
Notions of convexity
（Modern Birkhäuser classics）
Birkhäuser, c2007
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注記
Reprint of the 1994 Edition
"Originally published as Volume 127 in the series Progress in Mathematics" -- T.p. verso
Includes bibliographical references (p. [403]-410) and indexes
内容説明・目次
内容説明
The first two chapters of this book are devoted to convexity in the classical sense, for functions of one and several real variables respectively. This gives a background for the study in the following chapters of related notions which occur in the theory of linear partial differential equations and complex analysis such as (pluri-)subharmonic functions, pseudoconvex sets, and sets which are convex for supports or singular supports with respect to a differential operator. In addition, the convexity conditions which are relevant for local or global existence of holomorphic differential equations are discussed.
目次
Convex Functions of One Variable.- Convexity in a Finite-Dimensional Vector Space.- Subharmonic Functions.- Plurisubharmonic Functions.- Convexity with Respect to a Linear Group.- Convexity with Respect to Differential Operators.- Convexity and Condition (.?).
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