On regularization of singular operators with Carleman shift
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2003), pp. 104-106
The paper is devoted to regularization of some singular integral operators. The necessary and sufficient conditions by which the singular operators with Carleman shift and conjugation admits the equivalent regularization are found.
@article{BASM_2003_3_a9,
author = {Galina Vornicescu},
title = {On regularization of singular operators with {Carleman} shift},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {104--106},
year = {2003},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2003_3_a9/}
}
Galina Vornicescu. On regularization of singular operators with Carleman shift. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2003), pp. 104-106. http://geodesic.mathdoc.fr/item/BASM_2003_3_a9/
[1] Gohberg I., Krupnik N., Introduction to the theory of one dimensional singular integral operators, vol. I; II, Birkhäuser Verlag, Basel–Boston–Stuttgart, 1992 | MR
[2] Gelfand I. M., Raikov D. A., Shilov G. E., Commutative normalized rings, PhysMathGhis, Moscow, 1960 (In Russian) | MR
[3] Siminenko I. B., “New general method of the linear operational equations of the singular integral equations type investigation”, Izvestia AS USSR, Mathematical series, 29 (1965), 567–586 (In Russian) | MR
[4] Litvinchuck G. S., Boundary problems and singular integral equations with the shift, Moscow, 1972 (In Russian)