Aytuna, Aydın and Djakov, Plamen Borissov (2013) Bohr property of bases in the space of entire functions and its generalizations. Bulletin of the London Mathematical Society, 45 (2). pp. 411-420. ISSN 0024-6093 (Print) 1469-2120 (Online)
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Official URL: http://dx.doi.org/10.1112/blms/bds120
Abstract
We prove that if (phi(n))(n=0)(infinity), phi(0) equivalent to 1, is a basis in the space of entire functions of d complex variables, d >= 1, then, for every compact K subset of C-d, there is a compact K-1 superset of K such that, for every entire function f = Sigma(infinity)(n=0) f(n)phi(n), we have Sigma(infinity)(n=0) vertical bar f(n)vertical bar sup(K) vertical bar phi(n)vertical bar <= sup(K1) vertical bar f vertical bar. A similar assertion holds for bases in the space of global analytic functions on a Stein manifold with the Liouville Property.
Item Type: | Article |
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Subjects: | Q Science > QA Mathematics |
Divisions: | Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences |
Depositing User: | Aydın Aytuna |
Date Deposited: | 17 May 2013 12:36 |
Last Modified: | 26 Apr 2022 09:04 |
URI: | https://research.sabanciuniv.edu/id/eprint/21589 |
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Bohr property of bases in the space of entire functions and its generalizations. (deposited 04 Dec 2012 22:09)
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