Geodesic
Canonical Systems
Matematičeskie zametki, Tome 92 (2012) no. 2, pp. 291-301.

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In this paper, we study canonical systems and pose the problem of constructing a quasihomogeneous canonical system, i.e., the canonical system whose spectral problem has the same solution as that of the spectral problem of some homogeneous canonical system. We present a rational algorithm for constructing a quasihomogeneous canonical systems.
Keywords: canonical system of first order, quasihomogeneous string, spectral problem, factorization problem
Mots-clés : transition matrix. 
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     author = {P. S. Sarkisyan},
     title = {Canonical {Systems}},
     journal = {Matemati\v{c}eskie zametki},
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     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2012_92_2_a9/}
}
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P. S. Sarkisyan. Canonical Systems. Matematičeskie zametki, Tome 92 (2012) no. 2, pp. 291-301. http://geodesic.mathdoc.fr/item/MZM_2012_92_2_a9/

[1] R. S. Ismagilov, P. S. Sarkisyan, “O kvaziodnorodnykh strunakh”, Matem. zametki, 78:2 (2005), 317–320 | MR | Zbl

[2] P. S. Sarkisyan, “Zadacha vosstanovleniya kvaziodnorodnoi struny po ee chasti”, Matem. zametki, 82:1 (2007), 125–134 | MR | Zbl