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Notions of convexity

저자: Lars Hörmander
출판사: Boston : Birkhäuser, ©1994.
시리즈: Progress in mathematics (Boston, Mass.), v. 127.
판/형식:   도서 : 영어모든 판과 형식 보기
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추가적인 물리적 형식: Online version:
Hörmander, Lars.
Notions of convexity.
Boston : Birkhäuser, c1994
(OCoLC)872634654
문서 형식:
모든 저자 / 참여자: Lars Hörmander
ISBN: 0817637990 9780817637996 3764337990 9783764337995
OCLC 번호: 31132485
메모: Includes bibliographical references (p. [403]-410) and indexes.
설명: viii, 414 p. ; 24 cm.
내용: 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.
일련 제목: Progress in mathematics (Boston, Mass.), v. 127.
책임: Lars Hörmander

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