Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Weighted-$ L^2$ interpolation on non-uniformly separated sequences


Author: Stanislav Ostrovsky
Journal: Proc. Amer. Math. Soc. 138 (2010), 4413-4422
MSC (2000): Primary 30H05, 30D15, 32A36
Published electronically: June 15, 2010
MathSciNet review: 2680065
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: We define a weighted-$ \ell^2$-norm associated to a discrete sequence $ \Gamma$ in $ \mathbb{C}$ and a weight function $ \varphi$. We then give a sufficient condition which ensures that we can always extend weighted-$ \ell^2$ data to global holomorphic functions which are also weighted-$ L^2$. The condition is such that the so-called upper density of $ \Gamma$ is strictly less than one.


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


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 30H05, 30D15, 32A36

Retrieve articles in all journals with MSC (2000): 30H05, 30D15, 32A36


Additional Information

Stanislav Ostrovsky
Affiliation: Department of Mathematics, Stony Brook University, Stony Brook, New York 11794-3651
Email: stas@math.sunsysb.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-2010-10193-4
PII: S 0002-9939(2010)10193-4
Keywords: Interpolation, $L^{2}$-methods, Beurling density
Received by editor(s): February 10, 2009
Published electronically: June 15, 2010
Communicated by: Mario Bonk
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.