Notions of convexity

Lars Hörmander0817637990, 9780817637996, 0817645845, 9780817645847, 9780817645854, 3764337990

The first two chapters 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.