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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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