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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Uniform densities of regular sequences in the unit disk


Authors: Peter L. Duren, Alexander P. Schuster and Kristian Seip
Journal: Trans. Amer. Math. Soc. 352 (2000), 3971-3980
MSC (2000): Primary 30H05, 46E15
Published electronically: May 22, 2000
MathSciNet review: 1707485
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Abstract: The upper and lower uniform densities of some regular sequences are computed. These densities are used to determine sequences of sampling and interpolation for Bergman spaces of the unit disk.


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Additional Information

Peter L. Duren
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109-1109
Email: duren@math.lsa.umich.edu

Alexander P. Schuster
Affiliation: Department of Mathematics, San Francisco State University, San Francisco, California 94132-4163
Email: schuster@sfsu.edu

Kristian Seip
Affiliation: Department of Mathematical Sciences, Norwegian University of Science and Technology, N–7034 Trondheim, Norway
Email: seip@math.ntnu.no

DOI: http://dx.doi.org/10.1090/S0002-9947-00-02602-7
PII: S 0002-9947(00)02602-7
Received by editor(s): July 10, 1998
Published electronically: May 22, 2000
Article copyright: © Copyright 2000 American Mathematical Society