Notions of Convexity (Progress in Mathematics, No 127) (Modern Birkhauser Classics)

by Lars Hoermander

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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.

  • ISBN13 9780817645847
  • Publish Date 27 December 2006 (first published 1 November 1994)
  • Publish Status Active
  • Publish Country US
  • Imprint Birkhauser Boston Inc
  • Edition Reprint of the 1st ed. 1994
  • Format Paperback
  • Pages 416
  • Language English