RT Journal Article T1 On the basic set of solutions of a high-order linear difference equation A1 Marcellán Español, Francisco José A1 Zagorodnyuk, S. M. AB In this paper, we analyze the set of solutions of a linear difference equation of high-order. More precisely, we obtain a basis of such a linear subspace. We deduce integral representations for elements of this basis. PB Taylor & Francis SN 1023-6198 YR 2006 FD 2006-02 LK https://hdl.handle.net/10016/5940 UL https://hdl.handle.net/10016/5940 LA eng NO 16 pages, no figures.-- MSC2000 codes: 42C05. NO MR#: MR2205410 (2007m:39002) NO Zbl#: Zbl 1100.42022 NO The research of the first author has been supported by Dirección General de Investigación (Ministerio de Educación y Ciencia) of Spain under grant BFM 2003-06335-C03-02, and INTAS Research Network NeCCA INTAS 03-51-6637. DS e-Archivo RD 24 may. 2024