A Pair of Pseudo-differential Operators Involving Index Whittaker Transform in L_(2)^(a) (R_(+);m_(a)(x)dx)  

作　　者：Jeetendrasingh MAAN Akhilesh PRASAD 

机构地区：[1]Department of Mathematics and Computing,Indian Institute of Technology(Indian School of Mines),Dhanbad-826004,India

出　　处：《Acta Mathematica Sinica,English Series》2024年第6期1420-1430,共11页数学学报（英文版）

基　　金：supported by Science and Engineering Research Board,Government of India,under Grant No.EMR/2016/005141。

摘　　要：Pseudo-differential operators(PDO)Q(x,L_(a,x))and Q(x,L_(a,x))involving the index Whittaker transform are defined.Estimates for these operators in Hilbert space L_(2)^(a)(R+;m_(a)(x)dx)are obtained.A symbol classΩis introduced.Later product and commutators for the PDO are investigated and their boundedness results are discussed.

关 键 词：Pseudo-differential operator index Whittaker transform confluent hypergeometric functions Hilbert space 

分 类 号：O175.3[理学—数学]