Fundamental principle and a basis in invariant subspaces

Александр Сергеевич Кривошеев, Olesya Aleksandrovna Krivosheeva · Mathematical Notes · 2016

In the paper, first-order complex sequences with finite maximal angular density are studied. A criterion for such a sequence to be a part of a regularly distributed set with a given angular density is obtained. Using this criterion, we present complete solutions of fundamental principle problems and basis for an invariant subspace of analytic functions in a bounded convex domain.

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