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Notions of convexity

Verfasser/in: Lars Hörmander
Verlag: Boston : Birkhäuser, ©1994.
Serien: Progress in mathematics (Boston, Mass.), v. 127.
Ausgabe/Format   Buch : EnglischAlle Ausgaben und Formate anzeigen
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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  Weiterlesen…

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Physisches Format Online version:
Hörmander, Lars.
Notions of convexity.
Boston : Birkhäuser, ©1994
(OCoLC)872634654
Dokumenttyp: Buch
Alle Autoren: Lars Hörmander
ISBN: 0817637990 9780817637996 3764337990 9783764337995
OCLC-Nummer: 31132485
Beschreibung: viii, 414 pages ; 24 cm.
Inhalt: Ch. I. Convex functions of one variable. Definitions and basic facts. Some basic inequalities. Conjugate convex functions (Legendre transforms). The [Gamma] function and a difference equation. Integral representation of convex functions. Semi-convex and quasi-convex functions. Convexity of the minimum of a one parameter family of functions --
Ch. II. Convexity in a finite-dimensional vector space. Definitions and basic facts. The Legendre transformation. Geometric inequalities. Smoothness of convex sets. Projective convexity. Convexity in Fourier analysis --
Ch. III. Subharmonic functions. Harmonic functions. Basic facts on subharmonic functions. Harmonic migrants and the Riesz representation formula. Exceptional sets --
Ch. IV. Plurisubharmonic functions. Basic facts. Existence theorems in L[superscript 2] spaces with weights. Lelong numbers of Lelong numbers of plurisubharmonic functions. Closed positive currents. Exceptional sets. Other convexity conditions. Analytic functionals.
Serientitel: Progress in mathematics (Boston, Mass.), v. 127.
Verfasserangabe: Lars Hörmander.

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