A new Hamiltonian system
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Date
2020
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Abstract
This paper aims to share a new first-order differential equation that contains the continuous analogous of the orthogonal polynomials on the unit-circle. We introduce some basic results on the system and solutions of the system. Using nested-circle approach we introduce the possible number of square-integrable solutions of the system. At the end of the paper we share a limit-point criteria for the two-dimensional system of equations.
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First-Order System, Orthogonal Polynomials on The Unit Circle, Weyl's Theory
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Uğurlu, Ekin (2020). "A new Hamiltonian system", Journal of Mathematical Analysis and Applications, Journal of Mathematical Analysis and Applications, Vol. 491, No. 2.
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Journal of Mathematical Analysis and Applications
Volume
491
Issue
2