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 

作者机构：LMAM School of Mathematical Sciences Peking University Beijing China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2004年第47卷第3期

页      面：393-400页

核心收录：

学科分类：07[理学] 070102[理学-计算数学] 0701[理学-数学] 

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

主　　题：Bessel function, Hankel transform, wavelets, Weyltransform, boundedness, compactness. 

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.