Higher order self-adjoint operators with polynomial coefficients
Classical Analysis and ODEs
2014-09-10 v1
Abstract
Algebraic and analytic aspects of self-adjoint operators of order four or more with polynomial coefficients are investigated. As a consequence, a systematic way of constructing such operators is given. The procedure is applied to obtain many examples up to order 8; similar examples can be constructed for all even order operators. In particular, a complete classification of all order 4 operators is given.
Cite
@article{arxiv.1409.2523,
title = {Higher order self-adjoint operators with polynomial coefficients},
author = {H. Azad and A. Laradji and M. T. Mustafa},
journal= {arXiv preprint arXiv:1409.2523},
year = {2014}
}