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user 56553
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A problem from linear algebra and difference equations
Let $A$ be a linear second-order difference operator acting on the space of complex sequences as
$$(Af)_{n}=f_{n-1}+a_{n}f_{n}+f_{n+1}, \quad n\in\mathbb{Z},$$
where $a_{n}\in\mathbb{C}$. Further, let …
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