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Notions of Convexity Lars Hoermander

Notions of Convexity By Lars Hoermander

Notions of Convexity by Lars Hoermander


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Summary

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.

Notions of Convexity Summary

Notions of Convexity by Lars Hoermander

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.

Table of Contents

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 (.?).

Additional information

NLS9780817645847
9780817645847
0817645845
Notions of Convexity by Lars Hoermander
New
Paperback
Birkhauser Boston Inc
2006-12-27
416
N/A
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