Abstract:We consider a third-order nonselfadjoint differential operator with square summable coefficients whose domain is defined by quasiperiodic boundary conditions. For this operator, using the method of similar operators, we obtain an asymptotic behavior of eigenvalues, estimates of the deviations of spectral projections, and the equiconvergence of spectral decompositions.

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中文翻译：

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三阶微分算子特征值的渐近性

摘要：我们考虑具有平方可加系数的三阶非自伴微分算子，其域由拟周期边界条件定义。对于该算子，使用相似算子的方法，我们获得了特征值的渐近行为，频谱投影偏差的估计以及频谱分解的等收敛性。

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