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Hilbert spaces of Dirichlet series and their multipliers
Author(s):
John
E.
McCarthy
Journal:
Trans. Amer. Math. Soc.
356
(2004),
881-893.
MSC (2000):
Primary 30B50, 46E20
Posted:
October 9, 2003
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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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Additional Information:
John
E.
McCarthy
Affiliation:
Department of Mathematics, Washington University, St. Louis, Missouri 63130
Email:
mccarthy@wustl.edu
DOI:
10.1090/S0002-9947-03-03452-4
PII:
S 0002-9947(03)03452-4
Received by editor(s):
December 7, 2001
Posted:
October 9, 2003
Additional Notes:
The author was partially supported by National Science Foundation Grant DMS 0070639
Copyright of article:
Copyright
2003,
by the author
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