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书名 龚昇论文选集
分类 科学技术-自然科学-数学
作者 龚昇
出版社 中国科学技术大学出版社
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简介
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龚昇是中国科学技术大学教授、第一批博士生导师、最早获得政府津贴者,曾任中国科学技术大学副校长、研究生院院长,其科研成果两次荣获中国科学院自然科学一等奖,一次荣获国家科技进步二等奖和国家自然科学三等奖。在国内外重要学术刊物上发表学术论文80余篇,还出版各种著作26本,其中中文版学术专著5本,在国外出版英文版学术专著4本,是国内外享有盛誉的数学家。

本书为其论文集。

目录

I.典型群上的调和分析

 《典型群上的调和分析》序

 [73.1]酉群上的富理埃分析I,富理埃级数的Abel求和及Dirichlet核

 [72.1]酉群上的富理埃分析II,富理埃级数的Cesgro求和

 [71.1]酉群上的富理埃分析III,富理埃级数的收敛判别法

 [70.1]酉群上的富理埃分析IV,关于Peter—Weyl定理

 [69.1]酉群上的富理埃分析V,Fourier级数的球求和及Fourier积分

 [58]旋转群上的富理埃级数的部分和

II.多复变数的奇异积分与积分方程

 Preface of Integrals of Cauchy Type On the Ball

 [67.1]多复变数的Cauchy型积分I,超球的Cauchy型积分(与孙继广)

 [66.1]多复变数的Cauchy型积分II,Lie球双曲空间的Cauchy型积分(与孙继广)

 [65.1]多复变数的Cauchy型积分III,矩阵双曲空间的Cauchy型积分(与孙继广)

 [63.1]复超球面上的奇异积分方程(与孙继广)

 [54.1]Singular Integrals in Several Complex Variables I,Henkin Integrals of Strictly Pseudoconvex Domain(with Shi Jihuai)

 [52]Singular Integrals in Several Complex Variables II,Hadamard Principal Value on a Sphere(with Shi Jihuai)

 [51]Singular Integrals in Several Complex Variables III,Cauchy Integrals of Classical Domains(with Shi Jihuai)

 [50]Singular Integrals in Several Complex Variables IV,The Derivative of Cauchy Integral on Sphere(with Shi Jihuai)

 [68.1]圆型域中解析函数的积分表示(与孙继广)

 [64]关于多复变数可递域的Poisson公式的一点注记(与史济怀)

III.多复变数的Bloch常数

 [32.1]The Bloch Theorem in Several Complex Variables(with Carl H.FitzGer— aid)

 [28.1]Bloch Constant of Holomorphic Mappings on Bounded Symmetric Domains(with Yan Zhi—Min)

 [25]The Locally Biholomorphic Bloch and Marden Constants in Several Complex Variables(with Carl H.FitzGerald)

 [21]The Bloch Constant of Locally Biholomorphic Mappings on Bounded Sym— metric Domains

 [75]多连通区域上的Bloch常数

IV.多复变数的Schwarz导数

 [29.1]The Schwarzian Derivative in Several Complex Variables(with Carl H. FitzGerald)

 [17]The Schwarzian Derivative in Several Complex Variables(II)(with Yu Qi— huang and Zheng Xuean)

 [16.2]The Schwarzian Derivative in Several Complex Variables(III)(with Zheng Xuean and Yu Qihuang)

 [15.2]The Schwarzian Derivative in Several Complex Variables(IV)(with Yu Qihuang and Zheng Xuean)

 [14]多复变数的Schwarz导数V(与郑学安和余其煌)

 [20.1]The Schwarzian Derivative in Kghler Manifolds(with Yu Qihuang)

 [18.1]Schwarzian Derivative in K~hler Manifolds II(with Y1l Qihuang and Na Jisheng)

 [23.4]The Schwarzian Derivative in C”(With Yu Qihuang)

V.一类Reinhardt域的Bergman核函数

 [45.1]关于Reinhardt域(一)

 [22.1]The Bergman Kernel Function of Some Reinhardt Domains(with Zheng Xuean)

 [11]The Bergman Kernel Function of Some Reinhardt Domains II(with Zheng Xuean)

VI.多复变数的凸映照与星形映照

 Preface of Convex and Starlike Mappings in Several Complex Variables David Minda

 [40.1]The Growth and 1/4一Theorems for Starlike Mappings in C”(with Roger W.Barnard and Carl H.FitzGerald)

 [31.1]On Holomorphic Starlike Mappings of Several Complex Variables(with Wang Shikun and Yu Qihuang)

 [13]有界星形域上的全纯映照成为星形映照的判别准则(与王世坤和余其煌)

 [37.1]The Growth and 1/4一Theorems for Starlike Mappings in Bp(with Yu Qihuang and Wang Shikun)

 [33.1]The Growth Theorem for Biholomorphic Mappings in Several Complex Variables(with Wang Shikun and Yu Qihuang)

 [41.1]A Distortion Theorem for Biholomorphic Mappings in c(with Roger w Barnard and Carl H.FitzGeraldl

 [30]Biholomorphic Convex Mappings of Ball in Cn(with Wang Shikun and Yu Qihuang)

 [39.1]Distortion Theorem for Biholomorphic Mappings in Transitive Domains(I)(with Zheng Xuean)

 [24]Distortion Theorem for Biholomorphic Mappings in Transitive Domains(IV)(with Zheng Xuean) 

 [12.1]Distortion Theorems for Biholomorphic Convex Mappings on Bounded Convex Circular Domains(with Liu Taishun)

 [10.1]The Distortion Theorems of Linear Invariant Family on the Unit Ball(with Yu Qihuang)

 [6.1]Criterion for the Family of£Starlike Mappings(with Liu Taishun)

 [5]On the Roper—Suffridge Extension Operator(with Liu Taishun)

 [4.1]The Generalized Roper—Suffridge Extension Operator(with Liu Taishun)

 [3.1]The Decomposition Theorem for the Family of Complete Quasi—Convex

 Mappings(with Liu Taishun)

VII.其他

 [46.1]关于MSbius变换的一点注记(三)(与严志敏)

 [44.2]Coefficient Inequalities and Geometrical Inequalities

 [1]Some Open Problems in Geometric Function Theory in Several Complex Vari— ables

VIII.附录

 附录1 著作目录(共30本)

 附录2 论文目录(共90篇)

 附录3 获奖项目

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