课题基金 / 基金详情

Mathematical Sciences: Multivariable Spectral Theory and Complex Analysis

Mathematical Sciences: Multivariable Spectral Theory and Complex Analysis
数学科学:多变量谱理论和复分析
批准号:
9201729
负责人:
Mihai Putinar
金额:
$4.94万
依托单位国家:
美国
项目类别:
Standard Grant
财政年份:
1992
资助国家:
美国
项目状态:
已结题
起止时间:
1992-07-01 至 1995-06-30

项目摘要

项目成果

Mihai Putinar的其他基金

相似基金

相关文献

中文摘要
翻译
普蒂纳将调查两组问题。第一个是关于多元Bergman空间上的Toeplitz算子及其与多复变函数论的关系。他将把这类算子的谱问题与边界具有L2增长控制的伪凸域中的函数理论联系起来。第二组问题与欧几里得n-空间中的矩理论有关。Putina将尝试通过使用特定的算子理论来确定解决半代数子集上的某些矩问题的方法。算子论是研究矩阵的无限维广义的数学部分。特别地,当被限制在有限维子空间时,算子具有通常的线性性质,因此可以用矩阵来表示。算子理论中的中心问题是根据伴随算子(例如伴随算子)或基础空间对满足附加条件的算子进行分类。算符理论是许多数学的基础,也是数学在其他科学中的许多应用。
英文摘要
Putinar will investigate two sets of problems. The first concerns Toeplitz operators on multivariable Bergman spaces and their relevance for the function theory of several complex variables. He will relate the spectral problems for this class of operators to the theory of functions in pseudoconvex domains with L2-growth control at the boundary. The second set of problems is related to the theory of moments in Euclidean n- space. Putinar will try to determine methods for solving certain moment problems on semialgebraic subsets by using specific operator theories. Operator theory is that part of mathematics that studies the infinite dimensional generalizations of matrices. In particular, when restricted to finite dimensional subspaces, an operator has the usual linear properties, and thus can be represented by a matrix. The central problem in operator theory is to classify operators satisfying additional conditions given in terms of associated operators (e.g. the adjoint) or in terms of the underlying space. Operator theory underlies much of mathematics, and many of the applications of mathematics to other sciences.
期刊论文(0)
专著(0)
科研奖励(0)
会议论文
Spectral analysis of geometric shapes
Multivariate Operator Theory; Summer 2009, Toronto, CA
Operator theory methods in pure and applied mathematics
Positivity, Inverse Problems, and Operator Theory
国内基金
海外基金
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
Journal of Environmental Sciences
SCIENCE CHINA Information Sciences