Work

Higher order self-adjoint operators with polynomial coefficients

Year: 2014

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1409.2523

Authors: Azad, H., Laradji, A., Mustafa, M. T.

Institutions: King Fahd University of Petroleum and Minerals, Qatar University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2162595217

Cites: 23

Cited by: 1

Related to: 10