Pseudo-differential operator involving generalized Hankel-Clifford transformation

被引：1

作者：

Pansare, P. D. ^{[1
]}

Waphare, B. B. ^{[1
]}

机构：

[1] MIT Arts Commerce & Sci Coll, Pune, Maharashtra, India

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2016年 / 9卷 / 01期

关键词：

Pseudo-differential operator; generalized Hankel-Clifford transformation;

D O I：

10.1142/S1793557116500169

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Pseudo-differential operators (p. d. os) involving generalized Hankel-Clifford transformation associated with the symbol a(x, y) whose derivatives satisfy certain growth condition are defined and the Zemanian type function spaces H-beta(I) and S-alpha(I) are introduced. It is shown that p. d. o's are continuous linear map of the space H-beta(I) and S-alpha(I) into itself. Also an Integral representation of p.d.o is obtained.

引用

页数：7

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