On the convolution operator on a~finite interval
Izvestiya. Mathematics , Tome 11 (1977) no. 3, pp. 583-611
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In this paper a convolution operator whose kernel is the Fourier transform of a rational function is studied on a finite interval. Criteria are found for completeness and basicity of the root system of such an operator.
Bibliography: 9 titles.
@article{IM2_1977_11_3_a6,
author = {Yu. I. Lyubarskii},
title = {On the convolution operator on a~finite interval},
journal = {Izvestiya. Mathematics },
pages = {583--611},
publisher = {mathdoc},
volume = {11},
number = {3},
year = {1977},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_3_a6/}
}
Yu. I. Lyubarskii. On the convolution operator on a~finite interval. Izvestiya. Mathematics , Tome 11 (1977) no. 3, pp. 583-611. http://geodesic.mathdoc.fr/item/IM2_1977_11_3_a6/