Weak Paley-Wiener property for completely solvable Lie groups

被引:4
|
作者
Garimella, G [1 ]
机构
[1] Indian Stat Inst, Bangalore 560059, Karnataka, India
关键词
D O I
10.2140/pjm.1999.187.51
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove a weak Paley-Wiener property for completely solvable Lie groups, i.e. if the group Fourier transform of a measurable, bounded and compactly supported function vanishes on a set of positive Plancherel measure then the function itself vanishes almost everywhere on the group.
引用
收藏
页码:51 / 63
页数:13
相关论文
共 50 条
  • [1] The weak Paley-Wiener property for group extensions
    Führ, H
    [J]. JOURNAL OF LIE THEORY, 2005, 15 (02) : 429 - 446
  • [2] The Paley-Wiener theorem for certain nilpotent Lie groups
    Ludwig, Jean
    Molitor-Braun, Carine
    [J]. MATHEMATISCHE NACHRICHTEN, 2009, 282 (10) : 1423 - 1442
  • [3] Paley-Wiener spaces for real reductive Lie groups
    van den Ban, EP
    Schlichtkrull, H
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2005, 16 (3-4): : 321 - 349
  • [4] A topological Paley-Wiener property for locally compact groups
    Kaniuth, E
    Lau, AT
    Schlichting, G
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2005, 133 (07) : 2157 - 2164
  • [5] Uncertainty principles of Ingham and Paley-Wiener on semisimple Lie groups
    Bhowmik, Mithun
    Sen, Suparna
    [J]. ISRAEL JOURNAL OF MATHEMATICS, 2018, 225 (01) : 193 - 221
  • [6] A PALEY-WIENER THEOREM FOR SELECTED NILPOTENT LIE-GROUPS
    MOSS, JD
    [J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1993, 114 (02) : 395 - 411
  • [7] INVARIANT PALEY-WIENER THEOREM FOR REDUCTIVE LIE-GROUPS
    CLOZEL, L
    DELORME, P
    [J]. ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, 1990, 23 (02): : 193 - 228
  • [8] INVARIANT PALEY-WIENER THEOREM FOR REDUCTIVE LIE-GROUPS
    CLOZEL, L
    DELORME, P
    [J]. INVENTIONES MATHEMATICAE, 1984, 77 (03) : 427 - 453
  • [9] A comparison of Paley-Wiener theorems for real reductive Lie groups
    van den Ban, Erik P.
    Souaifi, Sofiane
    [J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2014, 695 : 99 - 149
  • [10] ON THE INVARIANT PALEY-WIENER THEOREM FOR REAL REDUCTIVE LIE-GROUPS
    CLOZEL, L
    DELORME, P
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1985, 300 (11): : 331 - 333