Composition of Pseudo-Differential Operators Associated with Jacobi Differential Operator

被引：0

作者：

Prasad, Akhilesh ^{[1
]}

Singh, Manoj Kumar ^{[2
]}

机构：

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

[2] Ranchi Univ, Dept Math, St Xaviers Coll, Ranchi, Jharkhand, India

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2019年 / 89卷 / 03期

关键词：

Pseudo-differential operator; Fourier-Jacobi differential operators; Jacobi function; Fourier-Jacobi Convolution;

D O I：

10.1007/s40010-018-0484-8

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

Using inverse Fourier-Jacobi transform two symbols are defined and two pseudo-differential operators (p.d.o.'s) P-alpha,P-beta(x, D) and Q(alpha,beta)(x, D) are introduced. Composition of P-alpha,P-beta(x, D) and Q(alpha,beta)(x, D) is defined. It is shown that the p.d.o.'s and composition of p.d.o.'s are bounded in a Sobolev type space. Some special cases are discussed.

引用

页码：509 / 516

页数：8

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