Higher order self-adjoint operators with polynomial coefficients

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azad.pdf (310.96 KB)
Date
2017-01-18
Authors
Azad, Hassan
Laradji, Abdallah
Mustafa, Muhammad Tahir
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Self-adjoint operators, Polynomial coefficients
Citation
Azad, H., Laradji, A., & Mustafa, M. T. (2017). Higher order self-adjoint operators with polynomial coefficients. <i>Electronic Journal of Differential Equations, 2017</i>(22), pp. 1-21.
URI
https://hdl.handle.net/10877/15527
Collections
Electronic Journal of Differential Equations