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Invariant subspaces of the operator of multiple differentiation

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Publication:794245
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DOI10.1007/BF01158283zbMath0541.47006MaRDI QIDQ794245

S. G. Merzlyakov

Publication date: 1983

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


zbMATH Keywords

invariant subspacespace of entire functionsspectral synthesisroot vectorsoperator of multiple differentiation


Mathematics Subject Classification ID

Invariant subspaces of linear operators (47A15) Linear operators on function spaces (general) (47B38)


Related Items (5)

Subspaces of analytic functions that are invariant with respect to the multiple-differentiation operator ⋮ Set of exponents for interpolation by sums of exponential series in all convex domains ⋮ Local description of closed submodules in a special module of entire functions of exponential type ⋮ Entire functions whose derivatives are equal to zero at p points ⋮ Interpolation by series of exponential functions whose exponents are condensed in a certain direction




Cites Work

  • Théorie générale des fonctions moyenne-périodiques
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