### HILBERT MATRIX AND DIFFERENCE OPERATOR OF ORDER m

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#### Abstract

In this paper, some applications of the Hilbert matrix in image processing and cryptology are mentioned and an algorithm related to the Hilbert view of a digital image is given. New matrix domains are constructed and some of their properties are investigated. Furthermore, dual spaces of new matrix domains are computed and matrix transformations are characterized. Finally, examples of transformations of new spaces are given.

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DOI: https://doi.org/10.22190/FUMI1902359K

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