[Authors]
 A. D. Baranov

[Title]
 Density of polynomials in the de Branges spaces of entire functions

[AMS Subj-class]
 30D15 Special classes of entire functions and growth estimates
 47B32 Operators in the reproducing kernel Hilbert spaces

[Abstract]
 We study the problem of the density of polynomials
 in the de Branges spaces ${\cal H}(E)$ of entire functions
 and obtain conditions (in terms of the distribution 
 of the zeros of the generating function $E$) 
 ensuring that the polynomials belong to the space 
 ${\cal H}(E)$ and are dense in this space.
 Also, it is shown that the density of
 polynomials implies the hypercyclicity 
 of translation operators in ${\cal H}(E)$. 

[Comments]
 English, LaTeX, 17 pp.

[Contact e-mail]
 antonbaranov@netscape.net
 d.baranov@pop.ioffe.rssi.ru