I need some help to find point spectrum, residual spectrum, continuous spectrum and for this problem.
Let $\theta \in\mathbb{C}$. On the complex space $L^2[-1,1]$ consider the operator
$Au=v,$ where $v(x)=xu(x)+\theta \int^1_{-1} u(s)ds $.
I need some help to find point spectrum, residual spectrum, continuous spectrum and for this problem.
Let $\theta \in\mathbb{C}$. On the complex space $L^2[-1,1]$ consider the operator
$Au=v,$ where $v(x)=xu(x)+\theta \int^1_{-1} u(s)ds $.
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