作者：任福尧
页数：528
出版社：复旦大学出版社
出版日期：2018
ISBN：9787309145731
电子书格式：pdf/epub/txt
内容简介
任福尧先生是复旦大学数学科学学院退休教授，我国知名的复分析专家，在复分析的单叶函数、拟共形映射、Hp空间、复解析动力系统、多复变几何函数论等基础研究领域，以及复分析在流体力学中的应用等方面得到了许多重要成果.除复分析外，任先生还涉足分形几何、分数次微积分及其在统计力学和期权定价理论中的应用等领域，也做出了许多重要贡献.今年是任先生90华诞，我们将任先生发表的部分代表性学术论文整理成册，献给我们的导师任福尧先生.
本书特色
任福尧先生是复旦大学数学科学学院退休教授，我国知名的复分析专家，在复分析的单叶函数、拟共形映射、Hp空间、复解析动力系统、多复变几何函数论等基础研究领域，以及复分析在流体力学中的应用等方面得到了许多重要成果.除复分析外，任先生还涉足分形几何、分数次微积分及其在统计力学和期权定价理论中的应用等领域，也做出了许多重要贡献.今年是任先生90华诞，我们将任先生发表的部分代表性学术论文整理成册，献给我们的导师任福尧先生.
目录
开拓戈鲁辛和夏尔绳斯基的几个定理
On the Functions of Bieberbach and of Lebedev-Milin
具有无界型特征的拟似共形映照的存在性定理
无界的广义拟共形映照的孤立奇点
流体瞬态理论在双风机并联运行管系中的应用
单叶亚纯函数的系数
在第三项系数限制下单叶函数的Bieberbach猜测
压力阶跃在复杂管系中的传输
单叶半纯函数之逆函数的系数
The Distortion Theorems for Bieberbach Class and Grunsky Class of
Univalent Functions
关于具有拟共形扩张的比伯霸赫函数族
Stronger Distortion Theorems of Univalent Functions and Its
Applications
Conformal Mapping of Non-overlapping Domain with Quasiconformal
Extension
关于串联式管系共振脉冲射流的瞬态特性
关于Teichmiuller极值拟共形映照的三个Reich猜想
Extension of a Theorem of Carleson-Duren
Some Inequalities on Quasi—subordinate Functions
A Dynamical System Formed by a Set of Rational Functions
第一函数随机迭代系统的Julia集
H。Multipliers on Bounded Symmetric Domains
On Taylor’S Conjecture about the Packing Measures of Cartesian
Product Sets
Quasiconformal Extension of Biholomorphic Mappings of Several
Complex Variables
Bounded Proj ections and Duality on Spaces of Holomorphic Functions
in the Unit Ball of C
I.ocal Fractional Brownian Motions and Gaussian Noises and
Application
Fractional Integral Associated to the Self—similar Set or the Generalized
Self-similar Set and Its Physical Interpretation
The Relationship between the Fractional Integral and the Fractal Structure
of a Memory Set
Dynamics of Periodically Random Orbits
The Determination of the Diffusion Kernel on Fractals and Fractional
Diffusion Equation for Transport Phenomena in Random Media
Determination of Memory Function and Flux on Fractals
An Anomalous Diffusion Modelin an External Force Fields on
Fractals
Integrals and Derivatives on Net Fractals
Universality of Stretched Gaussian Asymptotic Behaviour for the Fractional Fokker——Planck Equation in External Force Fields
Answer to an Open Problem Proposed by E Barkai and J Klafter
Answer to an Open Problem Proposed by R Metzler and J Klafter
Fractional Nonlinear Diffusion Equation and First Passage Time
Generalized Einstein Relation and the Metzler—Klafter Conjecture i a Composite—subdiffusive Regime
Continuous Time Black—Scholes Equation with Transaction Costs in Subdiffusive Fractional Brownian Motion Regime
Heterogeneous Memorized Continuous Time Random Walks in an
External Force Fields
On the Functions of Bieberbach and of Lebedev-Milin
具有无界型特征的拟似共形映照的存在性定理
无界的广义拟共形映照的孤立奇点
流体瞬态理论在双风机并联运行管系中的应用
单叶亚纯函数的系数
在第三项系数限制下单叶函数的Bieberbach猜测
压力阶跃在复杂管系中的传输
单叶半纯函数之逆函数的系数
The Distortion Theorems for Bieberbach Class and Grunsky Class of
Univalent Functions
关于具有拟共形扩张的比伯霸赫函数族
Stronger Distortion Theorems of Univalent Functions and Its
Applications
Conformal Mapping of Non-overlapping Domain with Quasiconformal
Extension
关于串联式管系共振脉冲射流的瞬态特性
关于Teichmiuller极值拟共形映照的三个Reich猜想
Extension of a Theorem of Carleson-Duren
Some Inequalities on Quasi—subordinate Functions
A Dynamical System Formed by a Set of Rational Functions
第一函数随机迭代系统的Julia集
H。Multipliers on Bounded Symmetric Domains
On Taylor’S Conjecture about the Packing Measures of Cartesian
Product Sets
Quasiconformal Extension of Biholomorphic Mappings of Several
Complex Variables
Bounded Proj ections and Duality on Spaces of Holomorphic Functions
in the Unit Ball of C
I.ocal Fractional Brownian Motions and Gaussian Noises and
Application
Fractional Integral Associated to the Self—similar Set or the Generalized
Self-similar Set and Its Physical Interpretation
The Relationship between the Fractional Integral and the Fractal Structure
of a Memory Set
Dynamics of Periodically Random Orbits
The Determination of the Diffusion Kernel on Fractals and Fractional
Diffusion Equation for Transport Phenomena in Random Media
Determination of Memory Function and Flux on Fractals
An Anomalous Diffusion Modelin an External Force Fields on
Fractals
Integrals and Derivatives on Net Fractals
Universality of Stretched Gaussian Asymptotic Behaviour for the Fractional Fokker——Planck Equation in External Force Fields
Answer to an Open Problem Proposed by E Barkai and J Klafter
Answer to an Open Problem Proposed by R Metzler and J Klafter
Fractional Nonlinear Diffusion Equation and First Passage Time
Generalized Einstein Relation and the Metzler—Klafter Conjecture i a Composite—subdiffusive Regime
Continuous Time Black—Scholes Equation with Transaction Costs in Subdiffusive Fractional Brownian Motion Regime
Heterogeneous Memorized Continuous Time Random Walks in an
External Force Fields
