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Item Details
Title: NOTIONS OF CONVEXITY
By: Lars Hormander
Format: Hardback

List price: £39.00


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ISBN 10: 3764337990
ISBN 13: 9783764337995
Publisher: BIRKHAUSER VERLAG AG
Series: Progress in Mathematics v. 127
Pages: 432
Description: The purpose of this book is to discuss notions of convexity that are assumed beyond calculus and linear algebra. The major part of the book should be accessible to a graduate student as an introduction to complex analysis; the last sections are mainly for those familiar with microlocal analysis.
Synopsis: The first two chapters of the 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 solutions of holomorphic differential equations are discussed, leading up to Trepreau's theorem on sufficiency of condition (psi) for microlocal solvability in the analytic category.
Illustrations: notes, references, indices
Publication: Switzerland
Imprint: Birkhauser Verlag AG
Returns: Non-returnable
Some other items by this author:
AN INTRODUCTION TO COMPLEX ANALYSIS IN SEVERAL VARIABLES (HB)
COLLECTED PAPERS (PB)
LECTURES ON NONLINEAR HYPERBOLIC DIFFERENTIAL EQUATIONS (PB)
LINEAR PARTIAL DIFFERENTIAL OPERATORS (PB)
LINEAR PARTIAL DIFFERENTIAL OPERATORS (PB)
NOTIONS OF CONVEXITY (PB)
PARTIAL DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS (HB)
PARTIAL DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS (HB)
PARTIAL DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS (PB)
PROSPECTS IN MATHEMATICS. (AM-70)
PROSPECTS IN MATHEMATICS. (AM-70), VOLUME 70 (PB)
SEMINAR ON SINGULARITIES OF SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS. (AM-91)
SEMINAR ON SINGULARITIES OF SOLUTIONS OF LINEAR PARTIAL DIFFERENTIAL EQUATIONS. (AM-91), VOLUME 91 (PB)
THE ANALYSIS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS (PB)
THE ANALYSIS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS (PB)
THE ANALYSIS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS I (PB)
THE ANALYSIS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS II (HB)
THE ANALYSIS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS II (PB)
THE ANALYSIS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS III (PB)
THE ANALYSIS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS IV (HB)
THE ANALYSIS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS IV (PB)
THE THE ANALYSIS OF LINEAR PARTIAL DIFFERENTIAL OPERATORS (HB)
UNPUBLISHED MANUSCRIPTS (PB)
UNPUBLISHED MANUSCRIPTS OF LARS HORMANDER (HB)

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