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

9908693 Grunbaum这个美国-阿根廷合作研究项目将支持F.加州大学伯克利分校的Alberto Grunbaum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科学和工程的传统和更新方面的可能应用。 特别是，矩阵值的球面函数的理论将发展。在这个项目中，两名调查员的互补专长将用于拟议工作的各个方面。 阿根廷研究小组专注于理论，而美国研究人员擅长将理论应用于实际问题。 潜在的应用是广泛的，在计算机断层扫描，电气工程和编码理论等领域。

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.***