Geodesic
On the completeness of sparse subsequences of systems of functions of the form $f^{(n)}(\lambda_nz)$
Izvestiya. Mathematics , Tome 68 (2004) no. 5, pp. 1025-1049

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We obtain some new results on the completeness of systems of functions $f^{(n)}(\lambda_nz)$ in the space of entire functions with the topology of uniform convergence on an arbitrary compact set in $\mathbb C$. In the presence of lacunae in the Taylor expansion of the function $f(z)$, we prove the existence of bases consisting of subsystems of this form. 
@article{IM2_2004_68_5_a6,
     author = {A. Yu. Popov},
     title = {On the completeness of sparse subsequences of systems of functions of the form $f^{(n)}(\lambda_nz)$},
     journal = {Izvestiya. Mathematics },
     pages = {1025--1049},
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     volume = {68},
     number = {5},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_2004_68_5_a6/}
}
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A. Yu. Popov. On the completeness of sparse subsequences of systems of functions of the form $f^{(n)}(\lambda_nz)$. Izvestiya. Mathematics , Tome 68 (2004) no. 5, pp. 1025-1049. http://geodesic.mathdoc.fr/item/IM2_2004_68_5_a6/