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Notions of Convexity

Notions of Convexity

by Hörmander, Lars
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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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Pub dateDec 27, 2006
ISBN-100817645845
ISBN-139780817645847
LanguageEnglish
Last updated 2026-07-28 12:06
$145.82
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