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典型域的调和分析和复Clifford分析 被引量:4

Harmonic Analysis in Classical Domains and Complex Clifford Analysis
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摘要 本文利用华罗庚、陆启铿关于多复变函数论中典型域的调和分析研究复Clif-ford分析中(四种)典型域的调和分析,讨论了两个相应边值问题正则解的存在(唯一)性及其积分表达式. In this paper, we using the results in Hua Luogeng and Lu Qikeng of harmonic analysis in classical domains for functions theorey of several complex variables, consider harmonic analysis in four kind classical domains for complex Clifford analysis and discuss the existence (uniqueness) of solutions of the two relevant boundary value problems and integral representation of the regular solutions of those problems.
作者 黄沙 乔玉英
出处 《数学学报(中文版)》 SCIE CSCD 北大核心 2001年第1期29-36,共8页 Acta Mathematica Sinica:Chinese Series
基金 国家自然科学基金!(19771068) 河北省科委 教委基金
关键词 典型域 调和分析 复CLIFFORD分析 边值问题 多复变函数论 Classical domains, Harmonic analysis, Complex Clifford analysis Boundary value problem
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参考文献11

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同被引文献21

  • 1黄华平,李星.Clifford分析中的k-超正则函数[J].宁夏大学学报(自然科学版),2007,28(1):1-4. 被引量:5
  • 2LEUTWILER H. Modified Clifford analysis [J].Complex Variables,1992,117:153-171.
  • 3LEUTWILER H. Modified quaternionic analysis in R3 [J]. Complex Variables,1992,120:19-51.
  • 4SIRKKA L,ERIKSSON B, HEINZ L. Hypermonogenic functions,Clifford algebras and their applications in mathematical physics [J]. Clifford Analysics, 2000, (2): 286-301.
  • 5Brackx F, Delange R, Sommen F. Clifford Analysis(Research Note in Mathematics76)[M]. London: Pitman, 1982.
  • 6Ryan J. Clifford algebra and their applications in mathematical physics[M]. Berlin: Birkhauser, 2000.
  • 7Sirkka-Liisa, Eriksson-Bique and Heinz-Leutwiler. Hypermonogenic functions, clifford algebras and their applications in mathematical Physis[J]. Clifford Analysics, 2000(2), 286-301.
  • 8Sirkka-Liisa, Eriksson-Bique. k-Hypermonogenic functions[J]. In Progress in Analysis, Vol.1, World Scientific, 2003, 337-348,.
  • 9Ku Min, Du Jinyuan. On the integral representation of spherical k-regular functions in clifford analysis[J]. Advances in Applied Clifford Algebras, 2009, 19(1): 83-100.
  • 10Sommen F. Some connections between Clifford analysis and complex analysis[J]. Complex Variables, 1982(1): 97-118.

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