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517.968.23 (2) |
Ecuații diferențiale. Ecuații integrale. Alte ecuații funcționale. Diferențe finite. Calculul variațional. Analiză funcțională (243) |
SM ISO690:2012 NEAGU, Vasile. On the perturbation of singular integral operators with piecewise continous coefficients. In: Science and education: new approaches and perspectives: . Selective collection of abstracts, Ed. 25, 24-25 martie 2023, Chişinău. Chişinău: (CEP UPSC, 2023, Seria 25, pp. 58-58_2. ISBN 978-9975-46-788-9. |
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Science and education: new approaches and perspectives Seria 25, 2023 |
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Conferința "Science and education: new approaches and perspectives" 25, Chişinău, Moldova, 24-25 martie 2023 | ||||||
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CZU: 517.968.23 | ||||||
Pag. 58-58_2 | ||||||
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In the paper it is proved that the property of singular integral operators with piecewise continuous coefficients to be Noetherian is stable with respect to their perturbation with certain non-compact operators. An example is constructed which demonstrates that the corner points of the contour of integration significantly affect the Noetherian property of singular operators with a shift. These results are obtained using the symbol of singular operators on contours with angular points, symbol, which is also determined in this paper. |
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Cuvinte-cheie singular integral operators, noetherian operators, piecewise Lyapunov contour, symbol |
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