Title: On the completeness of sparse subsequences of systems of functions of the form
![f^{(n)} ({\lambda}_n z)](http://control.botik.ru/wp-content/plugins/latex/cache/tex_2adbbe82f71495e75c466fe36211b0cb.gif)
Authors: A. Yu. Popov
Journal title: Izvestiya: Mathematics
Year: 2004
Issue: 5
Volume: 68
Pages: 1025–1049
Citation:
A. Yu. Popov, “On the completeness of sparse subsequences of systems of functions of the form ”, Izvestiya: Mathematics, 2004, 68:5, 1025–1049
Abstract:
We obtain some new results on the completeness of systems of functions in the space of entire functions with the topology of uniform convergence on an arbitrary compact set in
" />. In the presence of lacunae in the Taylor expansion of the function
" />, we prove the existence of bases consisting of subsystems of this form.
MathNet (ENG):
http://mi.mathnet.ru/eng/izv507