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Zero sets and interpolating sets in Fock spaces


Author: James Tung
Journal: Proc. Amer. Math. Soc. 134 (2006), 259-263
MSC (2000): Primary 30E05; Secondary 46E15
DOI: https://doi.org/10.1090/S0002-9939-05-07988-8
Published electronically: June 14, 2005
MathSciNet review: 2170566
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Abstract | References | Similar Articles | Additional Information

Abstract: An example is constructed to show that interpolating sets for Fock spaces are not necessarily zero sets.


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

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  • 3. P. Duren and A. Schuster, Bergman Spaces, American Mathematical Society, Providence, RI, 2004. MR 2033762
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  • 5. K. Seip and R. Wallstén, Density theorems for sampling and interpolation in the Bargmann-Fock space II, J. Reine. Angew. Math. 429 (1992), 107-113. MR 1173118 (93g:46026b)
  • 6. K. Zhu, Zeros of functions in Fock spaces, Complex Variables Theory Appl. 21 (1993), 87-98.MR 1276563 (95b:30037)

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Additional Information

James Tung
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48104
Email: ytung@umich.edu

DOI: https://doi.org/10.1090/S0002-9939-05-07988-8
Keywords: Entire functions, interpolating sequences, zero sets
Received by editor(s): August 2, 2004
Received by editor(s) in revised form: September 3, 2004
Published electronically: June 14, 2005
Additional Notes: This paper is part of the author’s dissertation at the University of Michigan under the direction of Professor Peter Duren. The author also thanks Joaquim Ortega-Cerdà for helpful discussions.
Communicated by: Juha M. Heinonen
Article copyright: © Copyright 2005 American Mathematical Society

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