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Linked References

1. R. E. Greene and S. G. Krantz, “The automorphism groups of strongly pseudoconvex domains,” Mathematische Annalen, vol. 261, no. 4, pp. 425–446, 1982. View at Publisher · View at Google Scholar · View at Scopus
2. S. G. Krantz, Function Theory of Several Complex Variables, American Mathematical Society, Providenc, RI, USA, 2nd edition, 2001.
3. R. E. Greene and S. G. Krantz, “Deformation of complex structures, estimates for the $\overline{\partial }$-equation, and stability of the Bergman kernel,” Advances in Mathematics, vol. 43, no. 1, pp. 1–86, 1982. View at Scopus
4. Y. W. Kim, “Semicontinuity of compact group actions on compact differentiable manifolds,” Archiv der Mathematik, vol. 49, no. 5, pp. 450–455, 1987. View at Publisher · View at Google Scholar · View at Scopus
5. R. E. Greene and S. G. Krantz, “Normal families and the semicontinuity of isometry and automorphism groups,” Mathematische Zeitschrift, vol. 190, no. 4, pp. 455–467, 1985. View at Publisher · View at Google Scholar · View at Scopus
6. R. E. Greene, K.-T. Kim, S. G. Krantz, and A.-R. Seo, “Semi-continuity of automorphism groups of strongly pseudoconvex domains: the low differentiability case,” The Pacific Journal of Mathematics, In press.
7. S. G. Krantz, “Convergence of automorphisms and semicontinuity of automorphism groups,” Real Analysis Exchange. In press.
8. S. G. Krantz and H. R. Parks, The Geometry of Domains in Space, Birkhäuser, Boston, Mass, USA, 1996.
9. G. M. Henkin and J. Leiterer, “Theory of Functions on Strictly Pseudoconvex Sets with Nonsmooth Boundary, with German and Russian summaries,” Report MATH 1981, Akademie der Wissenschaften der DDR, Institut für Mathematik, Berlin, Germany, 1981.
10. L. Lempert and L. Rubel, “An independence result in several complex variables,” Proceedings of the American Mathematical Society, vol. 113, pp. 1055–1065, 1991.
11. W. Rudin, Function Theory in the Unit Ball of ℂⁿ, Springer, New York, NY, USA, 1980.
12. S. G. Krantz, Cornerstones of Geometric Function Theory: Explorations in Complex Analysis, Birkhäuser, Boston, Mass, USA, 2006.
13. B. Maskit, “The conformal group of a plane domain,” American Journal of Mathematics, vol. 90, pp. 718–722, 1968.
14. J.-P. Rosay, “Sur une characterization de la boule parmi les domains de ${ℂ}^n$ par son groupe d’automorphismes,” Annales de l'institut Fourier Grenoble, vol. 29, pp. 91–97, 1979.
15. B. Wong, “Characterization of the unit ball in ℂⁿ by its automorphism group,” Inventiones Mathematicae, vol. 41, no. 3, pp. 253–257, 1977. View at Publisher · View at Google Scholar · View at Scopus
16. S. G. Krantz, “Characterizations of smooth domains in $ℂ$ by their biholomorphic self maps,” American Mathematical Monthly, vol. 90, pp. 555–557, 1983.
17. G. Julia, “Leçons sur la représentation conforme des aires multiplement connexes,” Paris, France, 1934.
18. M. Heins, “On the number of 1-1 directly conformal maps which a multiply-connected plane regions of finite connectivity $p(>2)$ admits onto itself,” Bulletin of the AMS, vol. 52, pp. 454–457, 1946.
19. L. Apfel, Localization properties and boundary behavior of the Bergman kernel [thesis], Washington University in St. Louis, 2003.