Mathematical Sciences: Complex and Harmonic Analysis
Mathematical Sciences: Complex and Harmonic Analysis
批准号:
8702356
负责人:
Frederick Gehring
金额:
$41.49万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1987
资助国家:
美国
项目状态:
已结题
起止时间:
1987-06-01 至 1991-05-31
中文摘要
点击翻译按钮获取中文摘要
英文摘要
Work will focus on recent developments in the theory of quasiconformal groups, the universal Teichmuller space and domains arising in approximation theory termed John domains. Some classical questions regarding quasiconformal mappings will also be reexamined in light of new results obtained by several researchers. Among these are questions about the approximation of quasiconformal maps in higher dimensions by differentiable maps of the same dilatation. Efforts to characterize the quasiconformal groups (discrete ones, first) have energized several top investigators including the principal investigator. The fundamental question is to determine when a group is effectively a Mobius group. Since this is not always the case, the problem of filling in the middle should generate some exciting research. Other work oriented more toward functional-analytical structures in complex analysis will focus on the study of cyclic vectors in spaces of analytic functions. These are elements of the spaces whose powers span the space. General conditions for cyclicity are only known for special spaces. However, for Bloch spaces only partial results are available and work will continue to complete the picture here. In addition, investigations will be carried out on injectivity criteria for local homeomorphisms, quasisymmetric groups and Markov processes. Analysis in the field of several complex variables will focus on outer functions in the polydisk and ball in two complex variables, especially when the zero set is small. An old problem of B. Levin on integrable functions on the quarter plane will be pursued. This work relates to a number of important areas of mathematics including three-manifold theory, partial differential operators and Toeplitz transformation spaces of analytic functions. It is also used in engineering applications involving systems theory.
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
Mathematical Sciences: Discrete Groups and Quasiconformal Mappings
-
批准号:9622808
-
项目类别:Standard Grant
-
资助金额:$4.79万
-
财政年份:1996
-
负责人:Frederick Gehring
-
依托单位:
Mathematical Sciences: Discrete Groups, Quasiconformal Mappings, and Function Theoretic Properties
-
批准号:9305852
-
项目类别:Continuing Grant
-
资助金额:$18.91万
-
财政年份:1993
-
负责人:Frederick Gehring
-
依托单位:
Mathematical Sciences: Quasiconformal and Quasiregular Mappings and Elliptic Partial Differential Equations
-
批准号:9305742
-
项目类别:Standard Grant
-
资助金额:$3.68万
-
财政年份:1993
-
负责人:Frederick Gehring
-
依托单位:
Mathematical Sciences: Fifteenth Nevanlinna Colloquium
-
批准号:9224664
-
项目类别:Standard Grant
-
资助金额:$1.0万
-
财政年份:1993
-
负责人:Frederick Gehring
-
依托单位:
Mathematical Sciences: Ap, RHp and Other Weight Conditions
-
批准号:9207715
-
项目类别:Standard Grant
-
资助金额:$1.8万
-
财政年份:1992
-
负责人:Frederick Gehring
-
依托单位:
Mathematical Sciences: Discrete Groups, Quasiconformal Mappings, and Function Theoretic Inequalities
-
批准号:9003438
-
项目类别:Continuing Grant
-
资助金额:$26.03万
-
财政年份:1990
-
负责人:Frederick Gehring
-
依托单位:
Mathematical Sciences: Quasiconformal Mappings and NonlinearPotential Theory
-
批准号:8902749
-
项目类别:Standard Grant
-
资助金额:$3.42万
-
财政年份:1989
-
负责人:Frederick Gehring
-
依托单位:
Mathematical Sciences: Research Conference in Complex Analysis: May 7-9, 1987, Ann Arbor, MI
-
批准号:8617222
-
项目类别:Standard Grant
-
资助金额:$1.1万
-
财政年份:1987
-
负责人:Frederick Gehring
-
依托单位:
Mathematical Sciences: Complex Analysis
-
批准号:8502792
-
项目类别:Continuing Grant
-
资助金额:$6.17万
-
财政年份:1985
-
负责人:Frederick Gehring
-
依托单位:
Mathematical Sciences: Complex Analysis
-
批准号:8401932
-
项目类别:Continuing Grant
-
资助金额:$29.29万
-
财政年份:1984
-
负责人:Frederick Gehring
-
依托单位:
Analysis in Real and Complex Spaces (Mathematical Sciences)
-
批准号:8201607
-
项目类别:Continuing Grant
-
资助金额:$13.95万
-
财政年份:1982
-
负责人:Frederick Gehring
-
依托单位:
Complex Analysis
-
批准号:7702842
-
项目类别:Standard Grant
-
资助金额:$13.82万
-
财政年份:1977
-
负责人:Frederick Gehring
-
依托单位:
Complex Analysis
-
批准号:7507940
-
项目类别:Continuing Grant
-
资助金额:$8.72万
-
财政年份:1975
-
负责人:Frederick Gehring
-
依托单位:
国内基金
海外基金
登录
查看更多内容
Handbook of the Mathematics of the Arts and Sciences的中文翻译
-
批准号:12226504
-
项目类别:数学天元基金项目
-
资助金额:20.0万元
-
批准年份:2022
-
负责人:黄朝凌
-
依托单位:
SCIENCE CHINA: Earth Sciences
-
批准号:41224003
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2012
-
负责人:魏建晶
-
依托单位:
Journal of Environmental Sciences
-
批准号:21224005
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2012
-
负责人:冯庆彩
-
依托单位:
SCIENCE CHINA Information Sciences
-
批准号:61224002
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2012
-
负责人:宋扉
-
依托单位:
SCIENCE CHINA Technological Sciences
-
批准号:51224001
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2012
-
负责人:安梅
-
依托单位:
SCIENCE CHINA Life Sciences (中国科学 生命科学)
-
批准号:81024803
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2010
-
负责人:李纪元
-
依托单位:
Journal of Environmental Sciences
-
批准号:21024806
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2010
-
负责人:冯庆彩
-
依托单位:
SCIENCE CHINA Earth Sciences(中国科学:地球科学)
-
批准号:41024801
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2010
-
负责人:魏建晶
-
依托单位:
SCIENCE CHINA Technological Sciences
-
批准号:51024803
-
项目类别:专项基金项目
-
资助金额:24.0万元
-
批准年份:2010
-
负责人:安梅
-
依托单位: