Fundamental principle and a basis in invariant subspaces

DOI10.1134/S0001434616050072zbMath1353.30003MaRDI QIDQ325520

A. S. Krivosheev, O. A. Krivosheeva

Publication date: 18 October 2016

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

space of holomorphic functionsbases in invariant subspacesbounded convex domains in \(\mathbb C\)

Mathematics Subject Classification ID

Spaces and algebras of analytic functions of one complex variable (30H99) Completeness problems, closure of a system of functions of one complex variable (30B60)

Related Items

Invariant Subspaces in Unbounded Domains ⋮ The distribution of singular points of the sum of a series of exponential monomials on the boundary of its domain of convergence ⋮ On one Leontiev-Levin theorem ⋮ Invariant subspaces with zero density spectrum ⋮ Basis in invariant subspace of analytical functions ⋮ Invariant subspaces in half-plane ⋮ SINGULAR POINTS FOR THE SUM OF A SERIES OF EXPONENTIAL MONOMIALS ⋮ An existence domain of the sum of exponential monomials series ⋮ A completeness of a system of exponential monomials with positive exponents

Cites Work

• A criterion for the fundamental principle to hold for invariant subspaces on bounded convex domains in the complex plane
• Representation of entire functions by series of exponentials
• A fundamental principle for invariant subspaces in convex domains
• A basis in an invariant subspace of analytic functions
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