US-Argentina Cooperative Research: Matrix Valued Spherical Functions and Applications

美阿根廷合作研究：矩阵值球函数及其应用

• 批准号: 9908693
• 负责人: F. Alberto Grunbaum
• 金额: $ 2.6万
• 依托单位: University of California-Berkeley
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2000
• 资助国家: 美国
• 起止时间: 2000-01-15 至 2003-12-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=9908693&HistoricalAwards=false
• 关键词: US; Argentina; Cooperative; Research; Matrix

9908693GrunbaumThis US-Argentina collaborative research project will support Dr. F. Alberto Grunbaum of the University of California, Berkeley to work with Professor Juan Tirao at the Universidad de Cordoba in Argentina. The researchers will investigate the theory of "special functions" of the nontrivial type to obtain explicit expressions for these functions and to look for possible applications of these new tools both in traditional as well as newer aspects of science and engineering. In particular, a theory of matrix valued spherical functions will be developed. This project is one in which the complementary expertise of both investigators will be used in every aspect of the proposed work. The Argentinean team has concentrated on the theory, while the U.S. researchers are adept at applying theory to practical problems. Potential applications are wide-ranging, in areas such as computerized tomography, electrical engineering and coding theory.***

这项美国-阿根廷合作研究项目将支持加州大学伯克利分校的F. Alberto Grunbaum博士与阿根廷科尔多瓦大学的Juan Tirao教授合作。研究人员将研究非平凡类型的“特殊函数”理论，以获得这些函数的显式表达式，并寻找这些新工具在传统以及科学和工程的新方面的可能应用。特别地，将发展矩阵值球函数的理论。在这个项目中，两位研究人员的互补专业知识将用于拟议工作的各个方面。阿根廷团队专注于理论，而美国研究人员则擅长将理论应用于实际问题。潜在的应用领域非常广泛，如计算机断层扫描、电气工程和编码理论