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. 411420. ISSN 00246093 (Print) 14692120 (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 Cd, there is a compact K1 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 

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)
 Bohr property of bases in the space of entire functions and its generalizations. (deposited 17 May 2013 12:36) [Currently Displayed]