Pseudo-differential operators and equations in a discrete half-space - Vasilyev, Alexander V.; Vasilyev, Vladimir B. (Mathematical Modelling and Analysis, 2018)
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.