Notions of Convexity (Modern Birkh?user Classics)

Description

Publisher: Birkh?user Boston; Reprint of the 1st ed. 1994 edition
Language: English
ISBN: 0817645845
Paperback: 288 pages
Data: December 27, 2006
Format: PDF
Description: 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 Trépreaus theorem on sufficiency of condition (capital Greek letter Psi) for microlocal solvability in the analytic category.


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