On Difference Operators and their Factorization
Canadian journal of mathematics, Tome 35 (1983) no. 5, pp. 873-897

Voir la notice de l'article provenant de la source Cambridge University Press

Throughout this paper A will be used to denote a given set and g a permutation of it. We shall assume that there is a subset C ⊆ A so that 1 Here Z denotes the set of integers. For x ∈ A it now follows that there is an unique α(x) ∈ Z so that 2 and then also In general we shall be concerned with solving the following equation for u 3 where pi , n ≤ i ≤ r, and v are given real valued functions on A and pnpr does not vanish on A. For B ⊆ A, F(B) will denote the set of all real valued functions defined on B.
Browne, Patrick J.; Nillsen, R. V. On Difference Operators and their Factorization. Canadian journal of mathematics, Tome 35 (1983) no. 5, pp. 873-897. doi: 10.4153/CJM-1983-050-2
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