Geodesic
Polynomial approximations on closed subsets of elliptic curves
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 19, Tome 302 (2003), pp. 178-187

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Approximation of Hölder functions on subsets of elliptic curves using polynomials is considered. An equivalent problem of approximation on the complex plane with the use of doubly periodic functions is introduced. A direct approximation theorem is proved. 
@article{ZNSL_2003_302_a11,
     author = {A. V. Khaustov and N. A. Shirokov},
     title = {Polynomial approximations on closed subsets of elliptic curves},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {178--187},
     publisher = {mathdoc},
     volume = {302},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2003_302_a11/}
}
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A. V. Khaustov; N. A. Shirokov. Polynomial approximations on closed subsets of elliptic curves. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 19, Tome 302 (2003), pp. 178-187. http://geodesic.mathdoc.fr/item/ZNSL_2003_302_a11/