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Notions of convexity

著者: Lars Hörmander
出版: Boston : Birkhäuser, ©1994.
シリーズ: Progress in mathematics (Boston, Mass.), v. 127.
エディション/フォーマット:   書籍 : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
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その他のフォーマット: Online version:
Hörmander, Lars.
Notions of convexity.
Boston : Birkhäuser, c1994
(OCoLC)872634654
ドキュメントの種類: 図書
すべての著者/寄与者: Lars Hörmander
ISBN: 0817637990 9780817637996 3764337990 9783764337995
OCLC No.: 31132485
注記: Includes bibliographical references (p. [403]-410) and indexes.
物理形態: viii, 414 p. ; 24 cm.
コンテンツ: 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.
シリーズタイトル: Progress in mathematics (Boston, Mass.), v. 127.
責任者: Lars Hörmander

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