Hilbert spaces of Dirichlet series and their multipliers |
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Authors: | John E. McCarthy |
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Affiliation: | Department of Mathematics, Washington University, St. Louis, Missouri 63130 |
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Abstract: | We consider various Hilbert spaces of Dirichlet series whose norms are given by weighted norms of the Dirichlet coefficients. We describe the multiplier algebras of these spaces. The functions in the multiplier algebra may or may not extend to be analytic on a larger half-plane than the functions in the Hilbert space. |
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