Geodesic
Fundamental Principle and a Basis in Invariant Subspaces
Matematičeskie zametki, Tome 99 (2016) no. 5, pp. 684-697

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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.
Keywords: complex sequence with finite maximal angular density, regularly distributed set, fundamental principle, basis of an invariant subspace. 
@article{MZM_2016_99_5_a4,
     author = {A. S. Krivosheev and O. A. Krivosheeva},
     title = {Fundamental {Principle} and a {Basis} in {Invariant} {Subspaces}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {684--697},
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     number = {5},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a4/}
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A. S. Krivosheev; O. A. Krivosheeva. Fundamental Principle and a Basis in Invariant Subspaces. Matematičeskie zametki, Tome 99 (2016) no. 5, pp. 684-697. http://geodesic.mathdoc.fr/item/MZM_2016_99_5_a4/