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

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.

Bibliographic Details
Main Authors: Alexander V. Vasilyev, Vladimir B. Vasilyev
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2018-07-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/368