Geodesic
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. 
@article{MZM_1969_5_6_a9,
     author = {G. V. Badalyan},
     title = {On a~theorem of {Fuchs}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {723--731},
     publisher = {mathdoc},
     volume = {5},
     number = {6},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a9/}
}
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G. V. Badalyan. On a~theorem of Fuchs. Matematičeskie zametki, Tome 5 (1969) no. 6, pp. 723-731. http://geodesic.mathdoc.fr/item/MZM_1969_5_6_a9/