Geodesic
Spectral functions of a~canonical system of order~$2n$
Sbornik. Mathematics, Tome 71 (1992) no. 2, pp. 355-369

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The author describes a set of pseudospectral functions of the canonical system of differential equations $$ \frac{dW(x,\lambda)}{dx}=i\lambda JH(x)W(x,\lambda), \qquad W(0,\lambda)=E_{2n}, $$ where $0\leqslant x\leqslant l\infty$, $H(x)=H^*(x)\geqslant 0$, $J=\begin{bmatrix}0\\E_n0\end{bmatrix}$. In terms of the Hamiltonians $H(x)$, conditions are given under which the pseudospectral functions are spectral functions. 
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     author = {A. L. Sakhnovich},
     title = {Spectral functions of a~canonical system of order~$2n$},
     journal = {Sbornik. Mathematics},
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     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1992_71_2_a5/}
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A. L. Sakhnovich. Spectral functions of a~canonical system of order~$2n$. Sbornik. Mathematics, Tome 71 (1992) no. 2, pp. 355-369. http://geodesic.mathdoc.fr/item/SM_1992_71_2_a5/