In this paper, we study polynomials on algebraic subvarieties A⊂CN, A=n, n≤ N, in the point of view their polynomial extensions into the enclosing space CN. It is important in observing extremal Green function $V(z,K)$ for compact subset K⊂ A.
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Alimardon Abdirimovich Atamuratov (2024) studied this question.
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