On a~family of generalized shift operators
Izvestiya. Mathematics , Tome 11 (1977) no. 4, pp. 865-888
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In this paper a special representation of the algebra of differential operators is constructed. Using this representation a family of generalized shift operators is studied for which the $n$th order infinitesimal operators form an arbitrary Lie algebra. Systems of differential equations with bounded operator coefficients, having $n$th order infinitesimal operators in the left sides, are also studied.
Bibliography: 4 titles.
@article{IM2_1977_11_4_a8,
author = {R. J. Grabovskaya and V. I. Kononenko and V. B. Osipov},
title = {On a~family of generalized shift operators},
journal = {Izvestiya. Mathematics },
pages = {865--888},
publisher = {mathdoc},
volume = {11},
number = {4},
year = {1977},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1977_11_4_a8/}
}
R. J. Grabovskaya; V. I. Kononenko; V. B. Osipov. On a~family of generalized shift operators. Izvestiya. Mathematics , Tome 11 (1977) no. 4, pp. 865-888. http://geodesic.mathdoc.fr/item/IM2_1977_11_4_a8/