Geodesic
Example of a~thick polynomially convex compact subset of the space~$\mathbf C^2$ with connected interior on which not every continuous function analytic at interior points is uniformly approximable by polynomials
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part II, Tome 22 (1971), pp. 199-201

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@article{ZNSL_1971_22_a20,
     author = {V. N. Senichkin},
     title = {Example of a~thick polynomially convex compact subset of the space~$\mathbf C^2$ with connected interior on which not every continuous function analytic at interior points is uniformly approximable by polynomials},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {199--201},
     publisher = {mathdoc},
     volume = {22},
     year = {1971},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1971_22_a20/}
}
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V. N. Senichkin. Example of a~thick polynomially convex compact subset of the space~$\mathbf C^2$ with connected interior on which not every continuous function analytic at interior points is uniformly approximable by polynomials. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part II, Tome 22 (1971), pp. 199-201. http://geodesic.mathdoc.fr/item/ZNSL_1971_22_a20/