On Hardy’s Theorem on SU(1,1)

被引：0
|
作者：
Takeshi KAWAZOE
机构：
[1] Department of Mathematics Keio University at Fujisawa Endo
[2] Kanagawa
[3] 252-8520
[4] Japan.
来源：
Chinese Annals of Mathematics | 2007年 / 04期
基金：
中国国家自然科学基金;
关键词：
Heat kernel; Jacobi transform; Plancherel formula;
D O I：
暂无
中图分类号：
O152.5 [李群];
学科分类号：
070104 ;
摘要：
The classical Hardy theorem asserts that ■ and its Fourier transform ■ 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 ■ and its spherical Fourier transform ■ both have good decay. In this paper,we shall characterize such functions on SU（1,1）.
引用
收藏
页码：429 / 440
页数：12
相关论文
共 50 条
  • [1] On Hardy's theorem on SU(1,1)
    Kawazoe, Takeshi
    Liu, Jianming
    CHINESE ANNALS OF MATHEMATICS SERIES B, 2007, 28 (04) : 429 - 440
  • [2] On Hardy's Theorem on SU(1, 1)*
    Takeshi Kawazoe
    Jianming Liu
    Chinese Annals of Mathematics, Series B, 2007, 28 : 429 - 440
  • [3] NO-GHOST THEOREM FOR SU(1,1) STRING THEORIES
    HWANG, S
    NUCLEAR PHYSICS B, 1991, 354 (01) : 100 - 112
  • [4] Engineering SU(1,1) ⊗ SU(1,1) vibrational states
    Huerta Alderete, C.
    Morales Rodriguez, M. P.
    Rodriguez-Lara, B. M.
    SCIENTIFIC REPORTS, 2019, 9 (1)
  • [5] SU(1,1) SQUEEZING OF SU(1,1) GENERALIZED COHERENT STATES
    BUZEK, V
    JOURNAL OF MODERN OPTICS, 1990, 37 (03) : 303 - 316
  • [6] SU(2) AND SU(1,1) INTERFEROMETERS
    YURKE, B
    MCCALL, SL
    KLAUDER, JR
    PHYSICAL REVIEW A, 1986, 33 (06): : 4033 - 4054
  • [7] Two-mode coherent states for SU(1,1)⊗SU(1,1)
    Gerry, Christopher C.
    Benmoussa, Adil
    Physical Review A - Atomic, Molecular, and Optical Physics, 2000, 62 (03): : 033812 - 033811
  • [8] SU(1,1) tomography
    D'Ariano, GM
    De Vito, E
    Maccone, L
    PHYSICAL REVIEW A, 2001, 64 (03): : 1 - 7
  • [9] Realizations of su(1,1) and Uq(su(1,1)) and generating functions for orthogonal polynomials
    Van der Jeugt, J
    Jagannathan, R
    JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (09) : 5062 - 5078
  • [10] ON EUCLIDEAN CONNECTIONS FOR SU(1,1), SU(Q)(1,1) AND THE ALGEBRAIC APPROACH TO SCATTERING
    HATEGAN, C
    IONESCU, RA
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1995, 28 (07): : 2095 - 2100
12345