On the range of the Hankel and extended Hankel transforms

被引:21
作者
Tuan, VK
机构
[1] Department of Mathematics, Faculty of Science, Kuwait University, Safat, 13060
关键词
SPACES;
D O I
10.1006/jmaa.1997.5351
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The range of the Hankel and extended Hankel transforms on some spaces of functions is described. The Paley-Wiener theorem for the Hankel transform is also obtained. (C) 1997 Academic Press.
引用
收藏
页码:460 / 478
页数:19
相关论文
共 29 条
[1]  
Abramowitz M., 1972, HDB MATH FUNCTIONS F
[3]  
Betancor J. J., 1991, Int. J. Math. Math. Sci., V14, P269, DOI [10.1155/S0161171291000303, DOI 10.1155/S0161171291000303]
[4]  
Dube L. S., 1975, TOHOKU MATH J, V27, P337, DOI DOI 10.2748/TMJ/1203529246
[5]   ON HANKEL TRANSFORM [J].
DURAN, AJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 110 (02) :417-424
[6]   THE ANALYTIC FUNCTIONALS IN THE LOWER HALF PLANE AS A GELFAND-SHILOV SPACE [J].
DURAN, AJ .
MATHEMATISCHE NACHRICHTEN, 1991, 153 :145-167
[7]  
FENYO I, 1988, STUD SCI MATH HUNG, V23, P7
[8]   ON THE HANKEL AND SOME RELATED TRANSFORMATIONS [J].
HEYWOOD, P ;
ROONEY, PG .
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1988, 40 (04) :989-1009
[9]   ON THE INVERSION OF THE EXTENDED HANKEL TRANSFORMATION [J].
HEYWOOD, P ;
ROONEY, PG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 160 (01) :284-302
[10]  
KOBER H, 1937, Q J MATH OXFORD SER, V8, P186