A criterion for the fundamental principle to hold for invariant subspaces on bounded convex domains in the complex plane
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Publication:366090
DOI10.1007/s10688-012-0033-1zbMath1274.46063OpenAlexW1989939475MaRDI QIDQ366090
A. S. Krivosheev, O. A. Krivosheeva
Publication date: 11 September 2013
Published in: Functional Analysis and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10688-012-0033-1
Related Items (12)
Fundamental principle and a basis in invariant subspaces ⋮ Representation of functions in an invariant subspace with almost real spectrum ⋮ 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 ⋮ Set of exponents for interpolation by sums of exponential series in all convex domains ⋮ Basis in invariant subspace of analytical functions ⋮ Invariant subspaces in half-plane ⋮ Singular points of the sum of a Dirichlet series on the convergence line ⋮ An existence domain of the sum of exponential monomials series ⋮ Interpolation by series of exponential functions whose exponents are condensed in a certain direction ⋮ Interpolation by sums of series of exponentials and global Cauchy problem for convolution operators ⋮ Regularly distributed subsets in the complex plane
Cites Work
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- Abel and Cauchy-Hadamard theorems for series of exponential monomials
- The fundamental principle criterion for invariant subspaces
- Théorie générale des fonctions moyenne-périodiques
- Expansions in series of solutions of linear difference-differential and infinite order differential equations with constant coefficients
- Representing systems
- A fundamental principle for invariant subspaces in convex domains
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