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Pseudo-differential operators and equations in a discrete half-space

Abstract

We introduce a digital pseudo-differential operator acting in discrete Sobolev--Slobodetskii spaces and consider pseudo-differential equations with such operators in a discrete half-space.


The theorem on a general solution of such equations is proved for a special case.

Keyword : discrete functional space, digital distribution, digital pseudo-differential operator, discrete pseudo-differential equation, general solution

How to Cite
Vasilyev, A. V., & Vasilyev, V. B. (2018). Pseudo-differential operators and equations in a discrete half-space. Mathematical Modelling and Analysis, 23(3), 492-506. https://doi.org/10.3846/mma.2018.029
Published in Issue
Jul 4, 2018
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