简介
上世纪六十年代罗庚师到科大来任专职副校长,使作者聆听他的教诲的机会增多,有一次他对作者讲,一个人最后余下的就是一本选集,作者当时年轻,以为这是遥远的事,他这样说是为了教育作者淡泊名利,努力学习与工作,时间匆匆,到2002年作者得病之后,就经常想起罗庚师四十多年前对作者讲的这句话,作者一生坎坷,平庸,受到种种欺凌与屈辱,在此盘点人生的时候,尽管自认为一直很努力,但与那些大数学家比,作者是如此微不足道,有愧师恩。作者无学位,非院士,不过是一个普普通通的老教书匠,在后人评说的时候,不会对这样一个普普通通的教书匠的选集,过于苛求吧!
选文五十篇,为了便于查阅,按课题分类列出。
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
《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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