A pair of pseudo-differential operators involving Hankel-type integral transformations

被引：1

作者：

Prasad, Akhilesh ^{[1
]}

Maurya, P. K. ^{[1
]}

机构：

[1] Indian Sch Mines, Dept Math Appl, Dhanbad 826004, Bihar, India

来源：

JOURNAL OF PSEUDO-DIFFERENTIAL OPERATORS AND APPLICATIONS | 2015年 / 6卷 / 01期

关键词：

Hankel-type integral transformation; Zemanian type space; Hankel-type translation; Hankel-type convolution; Pseudo-differential operators;

D O I：

10.1007/s11868-014-0104-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main objective of this paper is to investigate a pair of pseudo-differential operators (p.d.o.) involving the Hankel-type integral transformations. The p.d.o. associated with the symbols belonging to the class H-m(or H-0(m)) are the continuous linear mapping of the Zemanian type spaces into itself. Integral representation of p.d.o. involving first Hankel-type integral transformation is obtained.

引用

页码：135 / 151

页数：17

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