We consider symmetric Dirac operators on bounded time scales. Under general boundary conditions, we describe extensions (dissipative, accumulative, self-adjoint, etc.) of these symmetric operators. We construct a self-adjoint dilation of the dissipative operator. Hence, we determine the scattering matrix of dilation. Then we construct a functional model of this operator and define its characteristic function. Finally, we prove that all root vectors of this operator are complete.

中文翻译：

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时标上具有一般边界条件的耗散Dirac算子

我们考虑有界时间尺度上的对称Dirac算子。在一般边界条件下，我们描述了这些对称算子的扩展（耗散，累加，自伴等）。我们构造了耗散算子的自伴扩张。因此，我们确定了扩散的散射矩阵。然后，我们构造该算子的功能模型并定义其特征函数。最后，我们证明该算子的所有根向量都是完整的。