"fonction convexe." . . "Analysis." . . "Analysis" . "Mathematics." . . "Konvexe Funktion." . . "Potential Theory." . . "Potential Theory" . "Konvex halmaz." . . "Konvex függvény." . . "Domini convex." . . "Konvexe Fläche" . . "Konvexe Fläche." . "Funciones convexas." . . . . . . . . . . . . . . . . . . . . . . . . . "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. At the beginning of the book, no prerequisites are assumed beyond calculus and linear algebra. Later on, basic facts from distribution theory and functional analysis are needed. In a few places, a more extensive background in differential geometry or pseudodifferential calculus is required, but these sections can be bypassed with no loss of continuity. The major part of the book should therefore be accessible to graduate students so that it can serve as an introduction to complex analysis in one and several variables. The last sections, however, are written mainly for readers familiar with microlocal analysis."@en . . . . . . . . . . . "Electronic books"@en . "Electronic books" . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . "Notions of convexity" . "Notions of convexity"@en . . . . "Notions of Convexity"@en . "Notions of Convexity" . . . . . . "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 Trpreaus theorem on sufficiency of condition (capital Greek letter Psi) for microlocal solvability in the analytic category. At the beginning of the book, no prerequisites are assumed beyond calculus and linear algebra. Later on, basic facts from distribution theory and functional analysis are needed. In a few places, a more extensive background in differential geometry or pseudodifferential calculus is required, but these sections can be bypassed with no loss of continuity. The major part of the book should therefore be accessible to graduate students so that it can serve as an introduction to complex analysis in one and several variables. The last sections, however, are written mainly for readers familiar with microlocal analysis."@en . . . . . . . . . . . . . . . . . . . . . . . . . . . "Online-Publikation" . . "Insiemi convessi." . . "Convex domains." . . "Anàlisi matemàtica." . . "Discrete groups." . . "Algèbre convexe." . . "Dominis convexos." . . "Birkhäuser Verlag." . . "Variables complexes." . . "Funzioni convesse." . . "Konvexer Körper." . . "Functionaalanalyse." . . "Plurisubharmonische Funktion" . . "Plurisubharmonische Funktion." . "Several Complex Variables and Analytic Spaces." . . "Several Complex Variables and Analytic Spaces" . "domaine convexe." . . "Differential equations, Partial." . . "Convexe functies." . . "Funcţii convexe." . . . . "Algèbres convexes." . . "Global analysis (Mathematics)" . . "Convex and Discrete Geometry." . . "Convex and Discrete Geometry" . "fonction sous-harmonique." . . "Plurisubharmonische Funktion Subharmonische Funktion." . . "MATHEMATICS Geometry General." . . "Partial Differential Equations." . . "Analiza matematyczna." . . "Real Functions." . . "Real Functions" . "Funcions convexes." . . "Funcions convexes" . "Géométrie convexe." . . "théorie intégration." . . "Ensembles convexes." . . "convexité" . . "Electronic books." . . "Potential theory (Mathematics)" . . "SpringerLink (Service en ligne)" . . "Konvexität" . . "Konvexität." .