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Notions of Convexity

Notions of Convexity

Paperback

Series: Modern Birkhäuser Classics

General Mathematics

ISBN10: 0817645845
ISBN13: 9780817645847
Publisher: Birkhauser
Published: Dec 27 2006
Pages: 414
Weight: 1.35
Height: 0.79 Width: 6.22 Depth: 9.22
Language: English

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, leading up to Trépreau's theorem on sufficiency of condition (capital Greek letter Psi) for microlocal solvability in the analytic category.

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General Mathematics