Geodesic
The theorem on the least majorant and its applications.I.~Entire and meromorphic functions
Izvestiya. Mathematics , Tome 42 (1994) no. 1, pp. 115-131

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The general concept of sweeping out is used to generalize the theorem of Koosis on the least superharmonic majorant in $\mathbb C$ to least majorants with respect to a convex cone of functions defined in a domain in $\mathbb R^k$ or $\mathbb C^n$. This generalization is applied to the description of nontrivial ideals and analytic sets of nonuniqueness of codimension 1 in algebras of entire functions, and to the representation of meromorphic functions of given growth. 
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     title = {The theorem on the least majorant and its {applications.I.~Entire} and meromorphic functions},
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B. N. Khabibullin. The theorem on the least majorant and its applications.I.~Entire and meromorphic functions. Izvestiya. Mathematics , Tome 42 (1994) no. 1, pp. 115-131. http://geodesic.mathdoc.fr/item/IM2_1994_42_1_a5/