The first two chapters of the 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 solutions of holomorphic differential equations are discussed, leading up to Trepreau's theorem on sufficiency of condition (psi) for microlocal solvability in the analytic category.
Les mer
The purpose of this book is to discuss notions of convexity that are assumed beyond calculus and linear algebra. The major part of the book should be accessible to a graduate student as an introduction to complex analysis; the last sections are mainly for those familiar with microlocal analysis.
Les mer
Produktdetaljer
ISBN
9783764337995
Publisert
1994-11
Utgiver
Vendor
Birkhauser Verlag AG
Høyde
235 mm
Bredde
155 mm
Aldersnivå
UP, P, 05, 06
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
432
Forfatter