THE υ-RADIAL PALEY-WIENER THEOREM FOR THE HELGASON FOURIER TRANSFORM ON DAMEK RICCI SPACES

被引:3
作者
Camporesi, Roberto [1 ]
机构
[1] Politecn Torino, Dipartimento Sci Matemat, Corso Duca Abruzzi 24, Turin, Italy
关键词
harmonic spaces; Jacobi functions; Paley-Wiener theorem; QUADRATIC-FORMS;
D O I
10.4064/cm6647-11-2015
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We prove the Paley-Wiener theorem for the Helgason Fourier transform of smooth compactly supported upsilon-radial functions on a Damek-Ricci space S = N A.
引用
收藏
页码:87 / 113
页数:27
相关论文
共 24 条
[1]  
Anker J.-P., 1996, ANN SCUOLA NORM SUP, V23, P643
[2]   The Helgason Fourier transform on a class of nonsymmetric harmonic spaces [J].
Astengo, F ;
Camporesi, R ;
DiBlasio, B .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1997, 55 (03) :405-424
[3]  
Astengo F., 1999, Colloq. Math, V80, P211, DOI DOI 10.4064/CM-80-2-211-233
[4]  
Astengo F., 2010, Ann. Math. Blaise Pascal, V17, P327, DOI [10.5802/ambp.286, DOI 10.5802/AMBP.286]
[5]   The biradial Paley-Wiener theorem for the Helgason Fourier transform on Damek-Ricci spaces [J].
Camporesi, Roberto .
JOURNAL OF FUNCTIONAL ANALYSIS, 2014, 267 (02) :428-451
[6]   Geodesic spheres and non radial eigenfunctions on Damek-Ricci spaces [J].
Camporesi, Roberto .
INDAGATIONES MATHEMATICAE-NEW SERIES, 2013, 24 (02) :313-345
[7]  
Cowling M.G., 1998, J GEOM ANAL, V8, P199
[8]   A CLASS OF NONSYMMETRIC HARMONIC RIEMANNIAN SPACES [J].
DAMEK, E ;
RICCI, F .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 27 (01) :139-142
[9]  
Damek E., 1987, COLLOQ MATH-WARSAW, V53, P239, DOI [DOI 10.4064/CM-53-2-239-247, 10.4064/cm-53-2-239-247]
[10]  
Damek E., 1992, J. Geom. Anal, V2, P213, DOI [10.1007/BF02921294, DOI 10.1007/BF02921294]