A New Spectral Analysis of the Sixth-order Krall Differential Expression
Classical Analysis and ODEs
2020-02-04 v1
Abstract
In this paper, we construct a self-adjoint operator T generated by the sixth-order Krall differential expression in the extended Hilbert space L^2(-1,1) + C^2. To obtain T, we apply a new general theory, the so-called GKN-EM theory, developed recently by Littlejohn and Wellman that extends the classical Glazman-Krein-Naimark theory using a complex symplectic geometric approach developed by Everitt and Markus. This work extends earlier studies of the Krall expression by both Littlejohn and Loveland.
Keywords
Cite
@article{arxiv.2002.00273,
title = {A New Spectral Analysis of the Sixth-order Krall Differential Expression},
author = {K. Elliott and L. L. Littlejohn and R. Wellman},
journal= {arXiv preprint arXiv:2002.00273},
year = {2020}
}
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16 pages