Wavelets associated with Hankel transform and their Weyl transforms  

作　　者：PENG Lizhong MA Ruiqin LMAM, School of Mathematical Sciences, Peking University, Beijing 100871, China 

出　　处：《Science China Mathematics》2004年第3期393-400,共8页中国科学：数学（英文版）

基　　金：This work was supported by the National Natural Science Foundation of China(Grant No.90104004);973 Project of China(Grant No.G1999075105).

摘　　要：The Hankel transform is an important transform. In this paper, westudy the wavelets associated with the Hankel transform, thendefine the Weyl transform of the wavelets. We give criteria of itsboundedness and compactness on the Lp-spaces.The Hankel transform is an important transform. In this paper, we study the wavelets associated with the Hankel transform, then define the Weyl transform of the wavelets. We give criteria of its boundedness and compactness on the L p — spaces.

关 键 词：BESSEL function  HANKEL transform  wavelets  Weyltransform  boundedness  compactness. 

分 类 号：O241[理学—计算数学]