Geodesic
The matrix analogue of the Blackwell renewal theorem on the real line
Sbornik. Mathematics, Tome 197 (2006) no. 3, pp. 369-386

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The full analogue of Blackwell's theorem is proved for a matrix renewal measure on the whole real line, both in the non-lattice and in the lattice cases. A complete result on a decomposition of Stone type for a matrix renewal measure is obtained. Asymptotic properties of solutions of systems of integral equations of renewal type on the real line are established. Bibliography: 21 titles. 
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     author = {M. S. Sgibnev},
     title = {The matrix analogue of the {Blackwell} renewal theorem on the real line},
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     url = {http://geodesic.mathdoc.fr/item/SM_2006_197_3_a3/}
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M. S. Sgibnev. The matrix analogue of the Blackwell renewal theorem on the real line. Sbornik. Mathematics, Tome 197 (2006) no. 3, pp. 369-386. http://geodesic.mathdoc.fr/item/SM_2006_197_3_a3/