The inverse spectral problem for self-adjoint Hankel operators
The inverse spectral problem for self-adjoint Hankel operators
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自伴 Hankel 算子的反谱问题
DOI：
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发表时间：
1995
期刊：
影响因子：
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通讯作者：
S. Treil
中科院分区：
文献类型：
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作者：
A. V. Megretskii;A. V. Megretskii;Vladimir Peller;Vladimir Peller;S. Treil
在§8.5中，我们考虑了平稳高斯过程理论中的一个几何问题，我们将这个问题简化为Hilbert空间上与Hankel算子模酉等价的有界线性算子的描述问题。在本章中，我们将解决后一个问题，这反过来将导致解决上述几何问题的预测理论。
In §8.5 we have considered a geometric problem in the theory of stationary Gaussian processes and we have reduced this problem to the problem of the description of the bounded linear operators on Hilbert space that are unitarily equivalent to moduli of Hankel operators. In this chapter we are going to solve the latter problem, which in turn will lead to a solution of the above geometric problem in prediction theory.