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" Notions of convexity / "
Lars Hörmander.
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BL
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| Record Number
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1035692
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b790062
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| Main Entry
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Hörmander, Lars.
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| Title & Author
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Notions of convexity /\ Lars Hörmander.
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| Publication Statement
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Boston :: Birkhäuser,, ©1994.
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| Series Statement
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Progress in mathematics ;; v. 127
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| Page. NO
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viii, 414 pages ;; 24 cm
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| ISBN
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0817637990
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: 3764337990
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: 9780817637996
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: 9783764337995
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| Bibliographies/Indexes
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Includes bibliographical references (pages 403-410) and indexes.
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| Contents
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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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| Subject
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Convex domains.
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Algèbres convexes.
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Algèbres convexes.
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Convex domains.
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Konvexer Körper
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Konvexer Körper.
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Convexe functies.
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| Dewey Classification
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515./94
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516
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| LC Classification
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QA639.5.H67 1994
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| NLM classification
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31.40bcl
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31B05msc
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32U05msc
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