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Matematicheskie Zametki, 2012, Volume 92, Issue 2, Pages 291–301
DOI: https://doi.org/10.4213/mzm9008 (Mi mzm9008) 		 
Canonical Systems

P. S. Sarkisyan

Branch Center of Introduction New Technic and Technology, Moscow
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DOI: https://doi.org/10.4213/mzm9008
Abstract: 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, transition matrix.
Received: 15.12.2010
Revised: 21.04.2011
English version:
Mathematical Notes, 2012, Volume 92, Issue 2, Pages 260–269
DOI: https://doi.org/10.1134/S0001434612070279
Bibliographic databases:
Document Type: Article
UDC: 517.15
Language: Russian
Citation: P. S. Sarkisyan, “Canonical Systems”, Mat. Zametki, 92:2 (2012), 291–301; Math. Notes, 92:2 (2012), 260–269
Citation in format AMSBIB
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