The order Mehler-Fock transform and allied pseudo-differential operator

被引：0
|
作者：
Prasad, Akhilesh [1 ]
Mandal, U. K. [2 ]
Ranjan, Sudhanshu [1 ]
机构：
[1] Indian Sch Mines Dhanbad, Indian Inst Technol, Dept Math & Comp, Dhanbad, India
[2] Patliputra Univ, Nalanda Coll, Dept Math, Patna, India
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2025年 / 36卷 / 03期
关键词：
Mehler-Fock transform; pseudo-differential operator; convolution; KONTOROVICH-LEBEDEV; CONVOLUTION THEOREM;
D O I：
10.1080/10652469.2024.2404049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a study related to the $ \mu <^>{th} $ mu th order Mehler-Fock transform (mu MFT) is carried out. Boundedness of translation and convolution operators in Lebesgue space are obtained. Continuity of mu MFT in Lebesgue as well as some test function spaces are discussed. Further, a pseudo-differential operator (p.d.o.) associated to mu MFT is defined and studied its continuity over certain function spaces.
引用
收藏
页码：163 / 175
页数：13
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