U.S.-Australia Cooperative Research: Invariant Elliptic and Subelliptic Operators, and their role in Geometry and Representation Theory

9724781 Branson这是美国爱荷华大学数学系的首席研究员Thomas Branson和Palle Jorgensen，以及昆士兰科技大学数学学院的a . Rod Gover和澳大利亚国立大学数学科学学院的D.W. Robinson的合作研究项目。美国调查人员将在澳大利亚总共花费大约105人日的时间，与他们的同行一起研究不变椭圆和亚椭圆算子及其在几何和表示理论中的作用。其中一个目标是更深入地了解保形和切向柯西-黎曼几何。他们将在一种新方法的基础上进行，该方法的共同特点是既需要控制空间x变量，也需要控制双频x变量。从这个意义上讲，所提出的工作与小波理论中的现代问题在基本层面上是联系在一起的，并且从长远来看，可能会揭示小波的潜在几何结构。

9724781 Branson This is a cooperative research project between U.S. principal investigators Thomas Branson and Palle Jorgensen of the Department of Mathematics, University of Iowa, and A. Rod Gover of the Queensland University of Technology School of Mathematics and D.W. Robinson of the Australian National University School of Mathematical Sciences. The U.S. investigators will spend a total of approximately 105 person- days in Australia working with their counterparts on invariant elliptic and subelliptic operators and their role in geometry and representation theory. Among the goals is a deeper understanding of the conformal and tangential Cauchy- Riemann geometrics. They will proceed on the basis of a new method with the common feature that control of the spatial x- variable as well as the dual frequency x-variable is required. In this sense, the proposed work is connected on a fundamental level with modern problems in wavelet theory, and may in the long run shed light on the underlying geometric structure of wavelets.