Complex scaling and domains with non-compact automorphism group
Kim, Kang-Tae ; Krantz, Steven G.
Illinois J. Math., Tome 45 (2001) no. 4, p. 1273-1299 / Harvested from Project Euclid
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In this paper we study the boundary orbit accumulation points of smoothly bounded domains in $\mathbf{C}^2$ with non-compact automorphism group. We prove that a boundary orbit accumulation point cannot be exponentially flat. This confirms a version of a conjecture of Greene and Krantz. The proof uses a new result on the a priori convergence of convex scaling methods, which in particular implies the equivalence of two different scaling methods on convex domains.
Publié le : 2001-10-15
Classification:  32M05,  32H50 
@article{1258138066,
     author = {Kim, Kang-Tae and Krantz, Steven G.},
     title = {Complex scaling and domains with non-compact automorphism group},
     journal = {Illinois J. Math.},
     volume = {45},
     number = {4},
     year = {2001},
     pages = { 1273-1299},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1258138066}
}

Kim, Kang-Tae; Krantz, Steven G. Complex scaling and domains with non-compact automorphism group. Illinois J. Math., Tome 45 (2001) no. 4, pp.  1273-1299. http://gdmltest.u-ga.fr/item/1258138066/