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.
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