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。

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