## Bohr property of bases in the space of entire functions and its generalizationsAytuna, Aydın and Djakov, Plamen Borissov (2013)
Official URL: http://dx.doi.org/10.1112/blms/bds120 ## AbstractWe 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.
## Available Versions of this Item- Bohr property of bases in the space of entire functions and its generalizations. (deposited 04 Dec 2012 22:09)
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- Bohr property of bases in the space of entire functions and its generalizations. (deposited 17 May 2013 12:36)
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