Pseudo-differential operator in quaternion space

被引：2
|
作者：
Kundu, Manab [1 ,2 ]
Prasad, Akhilesh [1 ,3 ]
机构：
[1] Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad, India
[2] SRM Univ AP, Dept Math, Amaravati, Andhra Pradesh, India
[3] Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, India
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 09期
关键词：
pseudo-differential operator; quaternion linear canonical transform; LINEAR CANONICAL TRANSFORM; FOURIER-TRANSFORM; EQUATIONS;
D O I：
10.1002/mma.9150
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper introduces the quaternion Schwarz type space, and quaternion linear canonical transform (QLCT) mapping properties are also discussed. Further, the quaternion pseudo-differential operator (QPDO) associated with QLCT is described. Some of its characteristics, including estimates, boundedness, and integral representation in quaternion Sobolev type space, are derived. Some applications of QLCT, quaternion differential equations, are also discussed.
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页码：10749 / 10766
页数：18
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