Geodesic
Asymptotics of solutions of one-dimensional difference equations with constant operator coefficients
Sbornik. Mathematics, Tome 60 (1988) no. 2, pp. 437-455 Cet article a éte moissonné depuis la source Math-Net.Ru

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The authors study equations of the form $$ \sum_{k\geqslant0}A_ku_{n-k}=f_n,\qquad n=0,\pm1,\dots, $$ where the $u_n$ and $f_n$ are elements in some Hilbert space $H$, and the $A_k$ are bounded linear operators on $H$. It is assumed that the corresponding operator symbol $$ L(\lambda )=\sum_{k\geqslant0}A_k\lambda^k $$ is a holomorphic Fredholm operator-valued function which is normal in some neighborhood of zero. Bibliography: 9 titles. 
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     title = {Asymptotics of solutions of one-dimensional difference equations with constant operator coefficients},
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V. G. Maz'ya; M. G. Sulimov. Asymptotics of solutions of one-dimensional difference equations with constant operator coefficients. Sbornik. Mathematics, Tome 60 (1988) no. 2, pp. 437-455. http://geodesic.mathdoc.fr/item/SM_1988_60_2_a12/

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