On multidimensional difference operators and equations


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We study the solvability of multidimensional difference equations in Sobolev–Slobodetskii spaces. In the simplest model case, we describe the solvability picture for such equations. In the general case, we present conditions for the Fredholm property and a theorem on the zero index.

作者简介

A. Vasil’ev

Belgorod National Research University; Lipetsk State Technical University

编辑信件的主要联系方式.
Email: alexvassel@gmail.com
俄罗斯联邦, Belgorod, 308015; Lipetsk, 398600

V. Vasil’ev

Belgorod National Research University; Lipetsk State Technical University

Email: alexvassel@gmail.com
俄罗斯联邦, Belgorod, 308015; Lipetsk, 398600

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