Abstract
We show that the graph\[Γf={(z,f(z))∈C2:z∈S}\Gamma _f=\{(z,f(z))\in {\mathbb {C}}^2:\,z\in S\}\]inC2{\mathbb {C}}^2of a functionffon the unit circleSSwhich is either continuous and quasianalytic in the sense of Bernstein orC∞C^\inftyand quasianalytic in the sense of Denjoy is pluripolar.
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