### 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 |
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ページ（範囲） | 429-440 |

ページ数 | 12 |

ジャーナル | Chinese Annals of Mathematics. Series B |

巻 | 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

## フィンガープリント On Hardy's theorem on SU(1, 1)' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

## これを引用

Kawazoe, T., & Liu, J. (2007). On Hardy's theorem on SU(1, 1).

*Chinese Annals of Mathematics. Series B*,*28*(4), 429-440. https://doi.org/10.1007/s11401-005-0557-2