Higher order self-adjoint operators with polynomial coefficients

Autor: Hassan Azad, Abdallah Laradj, Muhammad Tahir Mustafa
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Electronic Journal of Differential Equations, Vol 2017, Iss 22,, Pp 1-21 (2017)
Druh dokumentu: article
ISSN: 1072-6691
Popis: 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.
Databáze: Directory of Open Access Journals