Geodesic
The inversion of series of resolvents of a closed operator and some of its applications
Matematičeskie trudy, Tome 24 (2021) no. 2, pp. 105-121

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We describe the left inverse for operators representable by a sum of a series in the values of the resolvent of a densely defined closed operator in a complex Banach space. We give some applications of this result to regularization of the corresponding equations of the first kind and consider several examples. 
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     author = {A. R. Mirotin},
     title = {The inversion of series of resolvents of a closed operator and some of its applications},
     journal = {Matemati\v{c}eskie trudy},
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A. R. Mirotin. The inversion of series of resolvents of a closed operator and some of its applications. Matematičeskie trudy, Tome 24 (2021) no. 2, pp. 105-121. http://geodesic.mathdoc.fr/item/MT_2021_24_2_a6/