A New Hamiltonian System
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Date
2020
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Publisher
Academic Press inc Elsevier Science
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Green Open Access
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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. (C) 2020 Elsevier Inc. All rights reserved.
Description
Keywords
First-Order System, Orthogonal Polynomials On The Unit Circle, Weyl'S Theory
Fields of Science
0101 mathematics, 01 natural sciences
Citation
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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Q1
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OpenCitations Citation Count
1
Source
Journal of Mathematical Analysis and Applications
Volume
491
Issue
2
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CrossRef : 1
Scopus : 1
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