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Can I read Notions of Convexity (Modern Birkhäuser Classics) on EtoBox?
Notions of Convexity (Modern Birkhäuser Classics) by Lars Hörmander is a nonfiction available to read on EtoBox.
What is Notions of Convexity (Modern Birkhäuser Classics) about?
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 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 introduc
Who reads Notions of Convexity (Modern Birkhäuser Classics)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Lars Hörmander
- Publisher
- Birkhäuser; Birkhäuser
- Published
- 1994
- Language
- EN
- ISBN
- 9780817645854
- Category
- nonfiction
- Subjects
- Mathematics, Stem
