Notions of Convexity - Couverture rigide

Hormander, Lars

 
9783764337995: Notions of Convexity

Synopsis

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.

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Autres éditions populaires du même titre

9780817645847: Notions of Convexity

Edition présentée

ISBN 10 :  0817645845 ISBN 13 :  9780817645847
Editeur : Springer, 2009
Couverture souple