Chebyshev $C_0$-operator polynomials and their representation
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 38, Tome 376 (2010), pp. 64-87
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Certain estimates for the resolvent of a block-discrete Schrödinger operator with a constant diagonal perturbation are obtained. For that, the resolvent is represented in terms of the Chebychev polynomials of the (in general, unbounded) operator that represents a block of the perturbation. Bibl. – 12 titles.
@article{ZNSL_2010_376_a3,
author = {V. A. Kostin and M. N. Nebolsina},
title = {Chebyshev $C_0$-operator polynomials and their representation},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {64--87},
publisher = {mathdoc},
volume = {376},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2010_376_a3/}
}
V. A. Kostin; M. N. Nebolsina. Chebyshev $C_0$-operator polynomials and their representation. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 38, Tome 376 (2010), pp. 64-87. http://geodesic.mathdoc.fr/item/ZNSL_2010_376_a3/