On Hardy's theorem on SU(1, 1)

Takeshi Kawazoe, Jianming Liu

研究成果: Article

1 引用 (Scopus)

抜粋

The classical Hardy theorem asserts that f and its Fourier transform f̂ 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 f̂ both have good decay. In this paper, we shall characterize such functions on SU(1, 1).

元の言語English
ページ(範囲)429-440
ページ数12
ジャーナルChinese Annals of Mathematics. Series B
28
発行部数4
DOI
出版物ステータスPublished - 2007 8 1

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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