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>AN APPLICATION OF ENTIRE FUNCTION THEORY TO THESYNTHESIS OF DIAGONAL OPERATORS ON THE SPACE OFENTIRE FUNCTIONS
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AN APPLICATION OF ENTIRE FUNCTION THEORY TO THESYNTHESIS OF DIAGONAL OPERATORS ON THE SPACE OFENTIRE FUNCTIONS
In this paper, sufficient conditions are given for an operator acting on the space of entire functions having the monomials as eigenvectors to admit spectral synthesis, that is, for every closed invariant subspace of the operator to be the closed linear span of some collection of its eigenvectors.
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