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Complex Variables and Elliptic Equations
An International Journal
Volume 60, 2015 - Issue 7
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Articles

A note on a conjecture concerning boundary uniqueness

Abtin DaghighiDepartment of Mathematics, Mid Sweden University, SE-851 70Sundsvall, Sweden.Correspondence[email protected]
&
Steven G. KrantzDepartment of Mathematics, Washington University in St. Louis, St. Louis, MO63130, USA.
Pages 945-950 | Received 10 Aug 2014, Accepted 02 Nov 2014, Published online: 22 Dec 2014

References

  • Alinhac A, Baounedi MS, Rothschild LP. Unique continuation and regularity at the boundary for holomorphic functions. Duke Math. J. 1990;61:635–653.
  • Lakner M. Finite order vanishing of boundary values of holomorphic mappings. Proc. Amer. Math. Soc. 1991;112:521–527.
  • Baounedi MS, Rothschild LP. Unique continuation and a Schwarz reflection principle for analytic sets. Comm. Part Differ. Equat. 1993;18:1961–1970.
  • Baouendi MS, Rothschild LP. A local Hopf lemma and unique continuation for harmonic functions. Int. Math. Res. Notices. 1993;8:245–251.
  • Huang XJ, Krantz SG, Ma D, Pan Y. A Hopf lemma for holomorphic functions and applications. Complex Var. Theory Appl. 1995;26:273–276.
  • Taylor M. Partial differential equations, basic theory. New York (NY): Springer; 1999.
  • Greene RE, Krantz SG. Function theory of one complex variable. New York (NY): Wiley-Interscience; 1997.
  • Luzin NN, Privalov II. Sur l’unicité et la multiplicité des fonctions analytiques [On the uniqueness and multiplicity of analytic functions]. Ann. Sci. Ecole Norm. Sup. 1925;42:143–191.

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