4.5 Article

Unbounded WCT operators and applications to linear equations

Journal

COMPUTATIONAL & APPLIED MATHEMATICS
Volume 41, Issue 6, Pages -

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s40314-022-01953-9

Keywords

Conditional expectation; Moore-Penrose inverse; Variational regularization; Integral equation

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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.
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.

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