Hassan Azad, Abdallah Laradji, Muhammad Tahir Mustafa
Abstract:
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.
Submitted October 21, 2016. Published January 18, 2017.
Math Subject Classifications: 33C45, 34A05, 34A30, 34B24, 42C05.
Key Words: Self-adjoint operators; polynomial coefficients.
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| Hassan Azad Department of Mathematics and Statistics King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia email: hassanaz@kfupm.edu.sa | |
| Abdallah Laradji Department of Mathematics and Statistics King Fahd University of Petroleum and Minerals Dhahran 31261, Saudi Arabia email: alaradji@kfupm.edu.sa | |
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Muhammad Tahir Mustafa Department of Mathematics, Statistics and Physics Qatar University Doha 2713, Qatar email: tahir.mustafa@qu.edu.qa |
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