Higher order self-adjoint operators with polynomial coefficients
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We study algebraic and analytic aspects of self-adjoint operators of order four or higher with polynomial coefficients. 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.
CitationAzad, H., Laradji, A., & Mustafa, M. T. (2017). Higher order self-adjoint operators with polynomial coefficients. Electronic Journal of Differential Equations, 2017(22), pp. 1-21.
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