Geodesic
Carleman Integral Operators as Multiplication Operators and Perturbation Theory
Kragujevac Journal of Mathematics, Tome 41 (2017) no. 1, p. 71 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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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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     author = {S. M. Bahri},
     title = {Carleman {Integral} {Operators} as {Multiplication} {Operators} and {Perturbation} {Theory}},
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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/