Quasianalyticity and pluripolarity

Details Quasianalyticity and pluripolarity Quasianalyticity and pluripolarity

2004-02-23

arxiv.org/abs/math/0402381v1

Mathematics

Complex Variables

Scientific paper

We show that the graph $$\Gamma_f=\{(z,f(z))\in{\Bbb C}^2: z\in S\}$$ in
${\Bbb C}^2$ of a function $f$ on the unit circle $S$ which is either
continuous and quasianalytic in the sense of Bernstein or $C^\infty$ and
quasianalytic in the sense of Denjoy is pluripolar.

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