Unbounded WCT operators and applications to linear equations

In the present paper, we investigate the Moore-Penrose inverse and characteristic matrix of unbounded WCT operators on the Hilbert space L-2 (mu). In addition, we obtain some applications of the Moore-Penrose inverse of unbounded operators on the Hilbert space H to variational regularization problem. Moreover, some examples are provided to illustrate the applications of our results in linear equations and specially Fredholm integral equations.

Automated summary

In this paper, we investigate the Moore-Penrose inverse and characteristic matrix of unbounded WCT operators on the Hilbert space L-2 (mu). We also provide some applications of the Moore-Penrose inverse of unbounded operators on the Hilbert space H to variational regularization problem. Additionally, examples are used to illustrate the applications of these results in linear equations and specially Fredholm integral equations.