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http://hdl.handle.net/2445/164425
Title: | Multipliers for entire functions and an interpolation problem of Beurling |
Author: | Ortega Cerdà, Joaquim Seip, Kristian |
Keywords: | Funcions de variables complexes Funcions enteres Functions of complex variables Entire functions |
Issue Date: | 10-Mar-1999 |
Publisher: | Elsevier |
Abstract: | We characterize the interpolating sequences for the Bernstein space of entire functions of exponential type, in terms of a Beurling-type density condition and a Carleson-type separation condition. Our work extends a description previously given by Beurling in the case that the interpolating sequences are restricted to the real line. An essential role is played by a multiplier lemma, which permits us to link techniques from Hardy spaces with entire functions of exponential type. We finally present a characterization of the sampling sequences for the Bernstein space, also extending a density theorem of Beurling. |
Note: | Versió postprint del document publicat a: https://doi.org/10.1006/jfan.1998.3357 |
It is part of: | Journal of Functional Analysis, 1999, vol. 162, num. 2, p. 400-415 |
URI: | http://hdl.handle.net/2445/164425 |
Related resource: | https://doi.org/10.1006/jfan.1998.3357 |
ISSN: | 0022-1236 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
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148712.pdf | 315.04 kB | Adobe PDF | View/Open |
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