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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Hilbert spaces of Dirichlet series and their multipliers
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by John E. M$^{\mathrm {c}}$Carthy PDF
Trans. Amer. Math. Soc. 356 (2004), 881-893

Abstract:

We consider various Hilbert spaces of Dirichlet series whose norms are given by weighted $\ell ^2$ 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. M$^{\mathrm {c}}$Carthy
  • Affiliation: Department of Mathematics, Washington University, St. Louis, Missouri 63130
  • MR Author ID: 271733
  • ORCID: 0000-0003-0036-7606
  • Email: mccarthy@wustl.edu
  • Received by editor(s): December 7, 2001
  • Published electronically: October 9, 2003
  • Additional Notes: The author was partially supported by National Science Foundation Grant DMS 0070639
  • © Copyright 2003 by the author
  • Journal: Trans. Amer. Math. Soc. 356 (2004), 881-893
  • MSC (2000): Primary 30B50, 46E20
  • DOI: https://doi.org/10.1090/S0002-9947-03-03452-4
  • MathSciNet review: 1984460