Geodesic
Carleman Integral Operators as Multiplication Operators and Perturbation Theory
Kragujevac Journal of Mathematics, Tome 41 (2017) no. 1, p. 71

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

In this paper we introduce a multiplication operation that allows us to give to the Carleman integral operator of second class \cite{Ba1,Carleman} the form of a multiplication operator. Also we establish the formaly theory of perturbation of such operators.
Classification : 45P05, 47B25 13F25
Keywords: Carleman kernel, defect indices, integral operator, formal series 
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S. M. Bahri. Carleman Integral Operators as Multiplication Operators and Perturbation Theory. Kragujevac Journal of Mathematics, Tome 41 (2017) no. 1, p. 71 . http://geodesic.mathdoc.fr/item/KJM_2017_41_1_a3/