Abstract
LetM be a continuous real-valued function on ℂn,n≥1, and letE(M) be the class of entire functions f on ℂn such that log ¦f¦≤M. We give a dual statement for the problem of the description of zero sets of functions inE(M) and the possibility of representing functions f meromorphic on ℂn by ratios f=g/h, whereg andh are entire functions belonging toE(M) and coprime at each pointz∈ℂn. The dual approach suggested in the paper is new even for the casen=1.
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