期刊文献+

一类广义解析函数的刘维尔性质 被引量:5

Liouville Property for a Class of Generalized Analytic Function
下载PDF
导出
摘要 利用截断函数的技巧,证明了复平面上一类广义解析函数仍然保持古典解析函数的刘维尔性质。 Interruptive functions were adopted to prove that a class of generalized analytic function on the complex plane still maintained the Liouville property of classic analytic funtion.
出处 《莆田学院学报》 2012年第5期5-7,22,共4页 Journal of putian University
基金 福建省自然科学基金资助项目(2012J01015) 福建省教育厅基金资助项目(JA09202) 福建省高等学校服务海西建设重点项目(2008HX03)
关键词 广义解析函数 刘维尔性质 复平面 截断函数 generalized analytic function Liouville property complex plane interruptive function
  • 相关文献

参考文献8

  • 1Stein E M , Shakarchi R . Complex analysis: Princeton lectures in analysis II [M]. Princeton: Princeton University Press, 2003.
  • 2Bers L. Partial differential equations and generalized analytic functions[J]. Proc Nat Acad Sci, 1950, 36:130 -136.
  • 3Bers L. Partial differential equations and generalized analytic functions II[J]. Proc Nat Acad Sci, 1951, 37: 42-47.
  • 4Bers L. An outline of the theory of pseudoanalytic functions[J]. Bull Amer Math Soc, 1956, 62:291-331.
  • 5Kravchenkoa V V. Applied pseudoanalytic function theory[M]. Basel: Birkhauser, 2009.
  • 6Kravehenkoa V V, Marco P, Ramirez T. On Bers generating ftmctions for first order systems of mathematical physics[J]. Advances in Applied Cliffrd Algebras, 2011, 21 : 547-559.
  • 7Kravchenkoa V V, Tremblayb S. Explicit solutions of generalized Cauchy-Riemann systems using the transplant operator[J]. Journal of Mathematical Analysis and Applications, 2010, 370: 242-257.
  • 8Evans L C . Partial differential equations: Graduate studies in mathematics: Vol 19 [M]. Rhode Island: AMS, 1998.

同被引文献14

  • 1DONNELLY H.Negative curvature and embedded eigenvalues[J].Math Z,1990,203:301-308.
  • 2ESCOBAR E.On the spectrum of the Laplacian on complete Riemannian manifolds[J].Commun Partial Differ Equations,1985,11:63-85.
  • 3DONNELLY H,GAROFALO N.Riemannian manifolds whose Laplacians have purely continuous spectrum[J].Mathematische Annalen,1992,293:143-161.
  • 4HUANG Qin,RUAN Qihua.Applications of some elliptic equations in Riemannian manifolds[J].Journal of Mathematical Analysis and Applications,2014,409(1):189-196.
  • 5CHEEGER J,GROMOV M,TAYLOR M.Finite propagation speed,kernel estimates for functions of the laplace operator and the geometry of complete Riemannian manifolds[J].Journal of Differential Geometry,1982,17:84-91.
  • 6CHAVEL I.Eigenvalues in Riemannian geometry[M].New York:Academic Press,1984.
  • 7李明奇,覃思义.平面中Poisson方程的Dirichlet问题[J].大学数学,2009,25(4):146-150. 被引量:6
  • 8陈莹.两类调和函数的基本积分公式[J].天中学刊,2011,26(3):1-2. 被引量:1
  • 9赵玉杰,余春日.利用实积分证明Cauchy积分公式[J].安庆师范学院学报(自然科学版),2011,17(2):92-93. 被引量:1
  • 10阮其华,邱智伟.复变函数中刘维尔定理的新证明[J].数学的实践与认识,2012,24(8):247-249. 被引量:2

引证文献5

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部