The Left Hilbert BVP for h-Regular Functions in Clifford Analysis

Consider the real Clifford algebra generated by e 1 , e 2 , . . . , e n satisfying is the unit element. Let be an open set in . u(x) is called an h -regular function in if where is the Dirac operator in , and denotes the cardinality of A and is a constant paravector. In this paper, we mainly conside...

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Bibliographic Details
Published inAdvances in applied Clifford algebras Vol. 23; no. 2; pp. 519 - 533
Main Authors Zhongwei, Si, Jinyuan, Du, Ping, Duan
Format Journal Article
LanguageEnglish
Published Basel SP Birkhäuser Verlag Basel 01.06.2013
Subjects
Applications of Mathematics
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Theoretical
regular functions
function
Hilbert BVP
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Summary:Consider the real Clifford algebra generated by e 1 , e 2 , . . . , e n satisfying is the unit element. Let be an open set in . u(x) is called an h -regular function in if where is the Dirac operator in , and denotes the cardinality of A and is a constant paravector. In this paper, we mainly consider the Hilbert boundary value problem (BVP) for h -regular functions in .
ISSN:0188-7009
1661-4909
DOI:10.1007/s00006-012-0374-0