Some spectral relations |
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Authors: | A A Stakun |
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Institution: | 1. Moscow State University, USSR
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Abstract: | We consider the zeta function of a second-order differential operator which has a secon-dorder turning point: $$Lu = \frac{{d^2 u}}{{dx^2 }} + \lambda ^2 q(x) + R(x)]u,$$ where q(x)=x2q1(x), q1(x)≠0 and u (0)=u (1)=0. We construct an asymptotic series and calculate regularized traces for the eigenvalues of this operator. |
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