The application of group theory in analysis is the study of automorphic function.
其在分析中的应用就是自守函数理论的研究。
The earliest automorphic functions to be studied were the elliptic modular functions.
研究得最早的自导函数是椭圆模函数。
The theory of automorphic function is an intersection of many subjects, which manifests the unity of mathematics.
自守函数理论是多个数学分支交叉的产物，体现了数学的统一性。
Under certain condition, these systems are proved by fixed point method and mean value method to have almost-automorphic solution.
在某些条件下，利用不动点方法和平均值法证明了这类方程系具有概自守解。
In this thesis, we discuss mainly the existence of (pseudo) almost periodic solutions and (asymptotically) almost automorphic solutions for some nonlinear equations.
本文主要讨论几类非线性方程的(拟)概周期解和(渐近)概自守解的存在性。
The theory of automorphic function is the result of the intersection of geometry, algebra, complex analysis and differential equation, which manifest the unity of mathematics.
这一理论是几何学、代数学、复分析、微分方程解析理论交叉的产物，体现了数学的统一性。
Although automorphic or partial automorphic quartz cementation losses some intergranular pores in late diagenesis, the reservoir with relatively high porosity still can be formed.
虽然晚成岩期自形或半自形石英胶结损失了部分粒间孔隙，但仍能形成孔隙度相对较高的储层。
Chapter 2 is preliminaries, mainly including some definitions and basic properties on strongly continuous semigroups, integrated semigroups and pseudo al-most automorphic functions.
主要包括强连续半群、积分半群与拟概自守函数的定义与基本性质。
Chapter 2 is preliminaries, mainly including some definitions and basic properties on strongly continuous semigroups, integrated semigroups and pseudo al-most automorphic functions.
主要包括强连续半群、积分半群与拟概自守函数的定义与基本性质。
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