Bessel sequences with finite upper density in de Branges spaces
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Yu. Belov
Translated by: S. Kislyakov - St. Petersburg Math. J. 27 (2016), 599-607
- DOI: https://doi.org/10.1090/spmj/1407
- Published electronically: June 2, 2016
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Abstract:
The de Branges spaces are described in which every real Bessel sequence $\Lambda$ has finite upper density. The description is in terms of the spectral measure of the space in question.References
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Bibliographic Information
- Yu. Belov
- Affiliation: St. Petersburg State University, Chebysev Laboratory, Ul′yanovskaya 3, 198504 St. Petersburg, Russia
- Email: j_b_juri_belov@mail.ru
- Received by editor(s): April 16, 2015
- Published electronically: June 2, 2016
- Additional Notes: The author was supported by the Russian Scientific Foundation, grant no. 14-41-00010
- © Copyright 2016 American Mathematical Society
- Journal: St. Petersburg Math. J. 27 (2016), 599-607
- MSC (2010): Primary 46E22
- DOI: https://doi.org/10.1090/spmj/1407
- MathSciNet review: 3580189