On a theorem of Fuchs
Matematičeskie zametki, Tome 5 (1969) no. 6, pp. 723-731
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We show that the method used by Fuchs to prove the completeness of the system of functions $\{e^{-t}t^\alpha\nu\}$, $a_\nu>0$, $a_{\nu+1}-a_\nu\ge c>0$, $\nu=1,2,\dots$ in $L^2(0,\infty)$ allows us to prove a more general statement.