عنوان

Notions of convexity /

0817637990

3764337990

9780817637996

9783764337995

b790062

Notions of convexity /

[Book]

Lars Hörmander.

Boston :

Birkhäuser,

©1994.

viii, 414 pages ;

24 cm

Progress in mathematics ;

v. 127

Includes bibliographical references (pages 403-410) and indexes.

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.

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Notions of convexity.

Convex domains.

Algèbres convexes.

Algèbres convexes.

Convex domains.

Convexe functies.

Konvexer Körper

Konvexer Körper.

516.40

Hörmander, Lars.

20201207032911.0

[Book]

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