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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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Uniform densities of regular sequences in the unit disk
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by Peter L. Duren, Alexander P. Schuster and Kristian Seip PDF
Trans. Amer. Math. Soc. 352 (2000), 3971-3980 Request permission

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.
References
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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
  • MR Author ID: 158300
  • Email: seip@math.ntnu.no
  • Received by editor(s): July 10, 1998
  • Published electronically: May 22, 2000
  • © Copyright 2000 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 352 (2000), 3971-3980
  • MSC (2000): Primary 30H05, 46E15
  • DOI: https://doi.org/10.1090/S0002-9947-00-02602-7
  • MathSciNet review: 1707485