On the Cauchy Problem for Multidimensional Diﬀerence Equations in Rational Cone
The Cauchy problem for multidimensional diﬀerence equations in rational cone is formulated and sufﬁcient condition for its solvability is given. The notion of multisection of multiple Laurent series with the support in a rational cone is deﬁned. The formulae which express any multisection through original series are presented.