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.
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页数：7
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