Geodesic
Block-Toeplitz matrices and associated properties of a Gaussian model on a half-axis
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 1, pp. 154-160 
A. L. Sakhnovich; I. M. Spitkovsky. Block-Toeplitz matrices and associated properties of a Gaussian model on a half-axis. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 1, pp. 154-160. http://geodesic.mathdoc.fr/item/TMF_1985_63_1_a10/
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     title = {Block-Toeplitz matrices and associated properties of {a~Gaussian} model on a~half-axis},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A Gaussian model on a half-axis with interaction given by a block-Toeplitz matrix $\{s_{j-k}\}^\infty_{j,k=0}$. is studied. A procedure is indicated for calculating the correlation functions and the free energy in the absence of an external field and for several ways of including such a field. The results are formulated in terms of a matrix measure $\sigma$, whose Fourier coefficients are $s_j$. These results are based on the asymptotic behavior found in the paper for the individual blocks of the matrix $(\{s_{j-k}\}^n_{j,k=0})^{-1}$ and their sums in the limit $n\to\infty$.

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