On Hardy's theorem on SU(1,1) | |
Kawazoe, Takeshi ; Liu, Jianming | |
2007 | |
关键词 | heat kernel jacobi transform plancherel formula JACOBI TRANSFORM |
英文摘要 | The classical Hardy theorem asserts that f and its Fourier transform (f) over cap can not both be very rapidly decreasing. This theorem was generalized on Lie groups and also for the Fourier-Jacobi transform. However, on SU(1, 1) there are infinitely many "good" functions in the sense that f and its spherical Fourier transform (f) over tilde both have good decay. In this paper, we shall characterize such functions on SU(1, 1).; Mathematics; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 0; ARTICLE; 4; 429-440; 28 |
语种 | 英语 |
出处 | SCI |
出版者 | chinese annals of mathematics series b |
内容类型 | 其他 |
源URL | [http://hdl.handle.net/20.500.11897/397777] |
专题 | 数学科学学院 |
推荐引用方式 GB/T 7714 | Kawazoe, Takeshi,Liu, Jianming. On Hardy's theorem on SU(1,1). 2007-01-01. |
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