The Kontorovich-Lebedev-Clifford Transform

被引：0

作者：

Prasad, Akhilesh ^{[1
]}

Mandal, U. K. ^{[2
]}

机构：

[1] Indian Inst Technol Indian Sch Mines, Dept Math & Comp, Dhanbad, Jharkhand, India

[2] Patliputra Univ, Nalanda Coll, Dept Math, Patna 803101, Bihar, India

来源：

FILOMAT | 2021年 / 35卷 / 14期

关键词：

Kontorovich-Lebedev transform; Pseudo-differential operator; Convolution; PSEUDODIFFERENTIAL-OPERATORS; CONVOLUTION; SPACES;

D O I：

10.2298/FIL2114811P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Kontorovich-Lebedev-Clifford transform (KLC-transform) as well as its inversion are defined. The useful preliminary results like translation and convolution operators are introduced and their estimates are obtained. Continuity of translation and convolution operators on function spaces F-alpha and G(alpha) are discussed. Further, pseudo-differential operator (p.d.o.) associated with the KLC-transform is defined and studied its properties on some function spaces.

引用

页码：4811 / 4824

页数：14

共 42 条

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