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Notions of Convexity (Modern Birkhäuser Classics)

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Notions of Convexity (Modern Birkhäuser Classics) image
ISBN-10:

0817645845

ISBN-13:

9780817645847

Author(s): Hörmander, Lars
Released: Dec 27, 2006
Publisher: Birkhauser
Format: Paperback, 422 pages
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Description:

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.

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