Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

   

 

Hilbert spaces of Dirichlet series and their multipliers


Author: John E. McCarthy
Journal: Trans. Amer. Math. Soc. 356 (2004), 881-893
MSC (2000): Primary 30B50, 46E20
Published electronically: October 9, 2003
MathSciNet review: 1984460
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 30B50, 46E20

Retrieve articles in all journals with MSC (2000): 30B50, 46E20


Additional Information

John E. McCarthy
Affiliation: Department of Mathematics, Washington University, St. Louis, Missouri 63130
Email: mccarthy@wustl.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03452-4
PII: S 0002-9947(03)03452-4
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
Article copyright: © Copyright 2003 by the author