Lebedev-Skalskaya transforms and allied operators on certain function spaces

作     者：Mandal, U. K. Prasad, Akhilesh 

作者机构：Patliputra Univ Nalanda Coll Dept Math Patna Bihar India Indian Sch Mines Dept Math & Comp Indian Inst Technol Dhanbad Bihar India 

出 版 物：《INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS》 (积分变换与特殊函数)

年 卷 期：2022年第33卷第4期

页      面：320-340页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Science and Engineering Research Board  Government of India [EMR/2016/005141] 

主　　题：Lebedev-Skalskaya transforms pseudo-differential operators convolution function spaces 

摘      要：In this paper, some elementary and useful terminologies associated to Lebedev-Skalskaya transform (LS-transform) are notified and then estimates for R kappa(1/2+i tau) (x), F kappa(1/2+i tau) (x), translation and convolution operators associated to LS-transform are obtained. The continuity of LS-transforms, translation and convolution operators on functions spaces S-alpha,S-kappa, H-a,H-k, and G(alpha,kappa) are discussed. The continuity of pseudo-differential operators in terms of LS-transforms is discussed on functions spaces S-alpha,S-kappa, H-a,H-k, and G(alpha,kappa) and Lebesgue space. At the end, an application of LS-transform is shown by solving a differential equation of convolution type.