An example of a nonconstant bianalytic function vanishing everywhere on a nowhere analytic boundary
Matematičeskie zametki, Tome 62 (1997) no. 4, pp. 629-632

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     author = {M. Ya. Mazalov},
     title = {An example of a nonconstant bianalytic function vanishing everywhere on a nowhere analytic boundary},
     journal = {Matemati\v{c}eskie zametki},
     pages = {629--632},
     publisher = {mathdoc},
     volume = {62},
     number = {4},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1997_62_4_a16/}
}
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M. Ya. Mazalov. An example of a nonconstant bianalytic function vanishing everywhere on a nowhere analytic boundary. Matematičeskie zametki, Tome 62 (1997) no. 4, pp. 629-632. http://geodesic.mathdoc.fr/item/MZM_1997_62_4_a16/