HILBERT-DIRAC OPERATORS IN CLIFFORD ANALYSIS

被引：0

作者：

F.BRACKX

H.DE SCHEPPER

机构：

[1] Galglaan 2

[2] B-9000 Gent

[3] Ghent University

[4] Belgium

[5] Faculty of Engineering

[6] Clifford Research Group Department of Mathematical Analysis

来源：

Chinese Annals of Mathematics,Series B | 2005年 / 01期

关键词：

Clifford analysis; Riesz potentials; Hilbert transformation; Distributions;

D O I：

暂无

中图分类号：

O177 [泛函分析];

学科分类号：

070104 ;

摘要：

Around the central theme of "square root" of the Laplace operator it is shown that the classical Riesz potentials of the first and of the second kind allow for an explicit expression of so-called Hilbert-Dirac convolution operators involving natural and complex powers of the Dirac operator.

引用

页码：1 / 14

页数：14

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