Abstract
The general concept of sweeping out is used to generalize the theorem of Koosis on the least superharmonic majorant in to least majorants with respect to a convex cone of functions defined in a domain in or . 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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