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Titlebook: Notions of Convexity; Lars H?rmander Book 19941st edition Birkh?user Boston 1994 Complex analysis.Convexity.Differential operator.Mathemat

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書目名稱Notions of Convexity
編輯Lars H?rmander
視頻videohttp://file.papertrans.cn/669/668314/668314.mp4
叢書名稱Modern Birkh?user Classics
圖書封面Titlebook: Notions of Convexity;  Lars H?rmander Book 19941st edition Birkh?user Boston 1994 Complex analysis.Convexity.Differential operator.Mathemat
描述The term convexity used to describe these lectures given at the Univer- sity of Lund in 1991-92 should be understood in a wide sense. Only Chap- ters I and II are devoted to convex sets and functions in the traditional sense of convexity. The following chapters study other kinds of convexity which occur in analysis. Most prominent is the pseudo-convexity (plurisubh- monicity) in the theory of functions of several complex variables discussed in Chapter IV. It relies on the theory of subharmonic functions in R^, so Chapter III is devoted to subharmonic functions in R"^ for any n. Existence theorems for constant coefficient partial differential operators in R‘^ are re- lated to various kinds of convexity conditions, depending on the operator. Chapter VI gives a survey of the rather incomplete results which are known on their geometrical meaning. There are also natural classes of "convex" functions related to subgroups of the linear group, which specialize to sev- eral of the notions already mentioned. They are discussed in Chapter V. The last chapter. Chapter VII, is devoted to the conditions for solvability of microdifferential equations, which can also be considered as a branch of c
出版日期Book 19941st edition
關(guān)鍵詞Complex analysis; Convexity; Differential operator; Mathematics; Microlocal analysis; Pseudoconvexity; cal
版次1
doihttps://doi.org/10.1007/978-0-8176-4585-4
isbn_softcover978-0-8176-4584-7
isbn_ebook978-0-8176-4585-4Series ISSN 2197-1803 Series E-ISSN 2197-1811
issn_series 2197-1803
copyrightBirkh?user Boston 1994
The information of publication is updating

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Notions of Convexity978-0-8176-4585-4Series ISSN 2197-1803 Series E-ISSN 2197-1811
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Subharmonic Functions,on can be equal to — ∞ are precisely the sets where the limit of a bounded increasing sequence of subharmonic functions can fail to be upper semi-continuous. This section will not be needed in the following chapters.
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Plurisubharmonic Functions,efined by local conditions and closed under countable unions. Instead we pass in Section 4.6 to the study of subclasses of pseudo-convex sets: (weakly) linearly convex sets and C convex sets. These are modelled on the definition of convex sets by supporting planes and intersections with lines, respe
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at a distance as some factors that hinder their full integration into the distance learning environment while learning resources and student-tutor interactions were highly rated as factors that facilitate integration.
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n Community, and they are not a member of the European Union today. Approximately 48,000 people live on the Faroe Islands, 38 % of them in the area of the capital, Tórshavn. The economy of the islands is heavily based on the fishing industry.
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2197-1803 ter V. The last chapter. Chapter VII, is devoted to the conditions for solvability of microdifferential equations, which can also be considered as a branch of c978-0-8176-4584-7978-0-8176-4585-4Series ISSN 2197-1803 Series E-ISSN 2197-1811
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