Strong incompleteness of a~system of exponentials, and Macintyre's problem
Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 305-318
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A solution is given for Macintyre's problem in terms of strong incompleteness of a system
$\{e^{\lambda_nz}\}$, $0\lambda_n\uparrow\infty$. As a corollary it is shown that this system is incomplete in the space $C(\gamma)$, where $\gamma$ is any continuous curve.
@article{SM_1992_73_2_a0,
author = {A. M. Gaisin},
title = {Strong incompleteness of a~system of exponentials, and {Macintyre's} problem},
journal = {Sbornik. Mathematics},
pages = {305--318},
publisher = {mathdoc},
volume = {73},
number = {2},
year = {1992},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1992_73_2_a0/}
}
A. M. Gaisin. Strong incompleteness of a~system of exponentials, and Macintyre's problem. Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 305-318. http://geodesic.mathdoc.fr/item/SM_1992_73_2_a0/