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A spectral resolution for digital pseudo-differential operators

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Abstract

We consider a special class of operators acting in discrete spaces and discuss certain its properties related to specters and approximations. These properties can be useful for constructing approximate solutions of corresponding operator equations.

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Acknowledgements

This work was supported by the State contract of the Russian Ministry of Education and Science (contract No 1.7311.2017/8.9).

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Authors and Affiliations

  1. Chair of Differential Equations, Belgorod State National Research University, Pobedy street 85, 308015, Belgorod, Russia

    Vladimir B. Vasilyev

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  1. Vladimir B. Vasilyev
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Correspondence to Vladimir B. Vasilyev.

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Vasilyev, V.B. A spectral resolution for digital pseudo-differential operators. J Anal 28, 741–751 (2020). https://doi.org/10.1007/s41478-019-00193-1

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  • DOI: https://doi.org/10.1007/s41478-019-00193-1

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