RESEARCH ANNOUNCEMENTS——An Asymptotic Order of Fourier Transform on SL(2,R)
RESEARCH ANNOUNCEMENTS An Asymptotic Order of Fourier Transform on SL(2, R)
摘要
<正> Let SL(2,R)be the group of all real matrices of order2 with determinant 1.In this paper,weuse G to denote both SL(2.R) and the lie group SU(1,1)={(α/ββ/α):│α│~2-│β│~2=1,α,β=1,α,β∈C}because they are isomorphic to each other.
出处
《数学进展》
CSCD
北大核心
2003年第3期365-367,共3页
Advances in Mathematics（China）
参考文献8
-
1Zheng Weixing. Some problems on Lie group analysis [C]. Priceeding of the Second Asian Mathematical Conference, 1995, 104-110.
-
2Zheng Xuean. Asymptotic property of fourier coemcient on conpact Lie group [J]. Acta math., Sinica,1992, 35: 20-32.
-
3Shu Lisheng, Zheng Weixing. Asymptotic property of fourier transform on SL(2, R) [J] . Annual. Math.,1997, 18(A): 279-286.
-
4王信松,郑维行.SL(2,R)上的Fourier变换的渐近性质的注记[J].数学物理学报（A辑）,2002,22(4):502-511. 被引量：3
-
5Serge Lang. SL2(R)[M]. New York, Heidelberg, Beijing, Springer, 1985.
-
6Shu Lisheng. Plancherel formula of Fourier transform on SL(2, R) [J]. Journal of Nanfing university mathematical biquarterly, 1996, 13: 253-258.
-
7Sugiura, Mitsuo. Unitary Representations and Harmonic Analysis [M]. Tokyo: Halstecd press, 1975.
-
8Xiao Changbai. Some approximation results on SU(2) [J]. Acta Math., Sinica, 1989, 32: 793-802.
-
1刘新,杨晓英,王亚强.酉不变范数不等式[J].江南大学学报（自然科学版）,2015,14(5):663-665. 被引量：2
-
2孙红丽,叶斌.浅析递归方程解法及其渐进阶表示[J].四川文理学院学报,2007,17(2):15-17. 被引量：3
-
3王信松,郑维行.SL（2，R）上ω^kH^α的Fourier变换的渐近性质[J].纯粹数学与应用数学,2003,19(2):119-125. 被引量：1
-
4ANNOUNCEMENT[J].Chinese Physics B,2008,17(3):1153-1153.
-
5ANNOUNCEMENT[J].Chinese Physics B,2008,17(4):1535-1535.
-
6Constantine Dafermos.ANNOUNCEMENT[J].Acta Mathematica Scientia,2011,31(1). 被引量：3
-
7Announcement[J].Journal of Electronic Science and Technology of China,2010,8(1):93-93.
-
8ANNOUNCEMENT[J].Chinese Physics B,2008,17(2):744-744.
-
9Constantine Dafermos.ANNOUNCEMENT[J].Acta Mathematica Scientia,2011,31(2).
-
10ANNOUNCEMENT[J].Chinese Physics B,2008,17(10):3923-3923.
