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A new Hamiltonian system - MaRDI portal

A new Hamiltonian system (Q2207683)

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A new Hamiltonian system
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    A new Hamiltonian system (English)
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    23 October 2020
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    This paper studies some properties of a class of first-order differential equations that contains the continuous analogous of the orthogonal polynomials on the unit-circle, and obtained some basic results on this kind of systems and their solutions, for instance the possible number of square-integrable solutions of the system, and a limit-point criteria for the twodimensional system of equations.
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    first-order system
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    orthogonal polynomials on unit circle
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    Weyl's theory
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