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On the pompeiu operator of higher order and applications

 

作者: M. Akal,   H. Begehr,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1997）
卷期: Volume 32, issue 3  

页码: 233-261

 

ISSN:0278-1077

 

年代: 1997

 

DOI:10.1080/17476939708814994

 

出版商: Gordon and Breach Science Publishers

 

关键词: Pompeiu operator;Vekua operator;higher-order equations

 

数据来源: Taylor

 

摘要:

In the present paper we investigate the—as well asLp—properties of some class of operators, which generalize the Pompeiu operatorTand the Vekua operator ∏[10], related to higher order derivatives. Also these operators will be used to represent the solutions of Riemann — Hilbert problems for partial differential equations of higher order in the complex plane.

 

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