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Regularizability of some classes of mappings that are inverses of integral operators |
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| Authors: | L. D. Menikhes |
| Affiliation: | (1) Chelyabinsk State Technical University, USSR |
| Abstract: | We study the regularizability of mappings that are inverses of integral operators acting fromC(0,1) toL 2(0,1) and possessing noninjective continuation toL 2(0,1). We construct classes of such operators with regularizable as well as nonregularizable inverses for which the continuation of the operators toL 2(0,1) has an infinite-dimensional kernel. Translated fromMatematicheskie Zametki, Vol. 65, No. 2, pp. 222–229, February, 1999. |
| Keywords: | Banach space inverse of an integral operator ill-posed problem Tikhonov regularization method regularizability nonreflexive space Fourier coefficient |
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