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The asymptotic analysis of generalized eigenvectors of some Jacobi operators. Jordan box case∗

Jan JanasInstitute of Mathematics PAN , 31-027, Cracow, Sw.Tomasza 30, Poland
2006en
ABI

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This paper presents two methods of finding asymptotic formulae for a basis of solutions of the second order difference equations in the Jordan box case. An application to spectral analysis of Jacobi operators is also sketched.

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