Higher order self-adjoint operators with polynomial coefficients

Hassan Azad; Abdallah Laradji; Muhammad Tahir Mustafa

Higher order self-adjoint operators with polynomial coefficients

Hassan Azad, Abdallah Laradji, Muhammad Tahir Mustafa

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	22
Journal	Electronic Journal of Differential Equations
Volume	2017
State	Published - 18 Jan 2017

Bibliographical note

Publisher Copyright:
© 2016 Texas State University.

Keywords

Polynomial coefficients
Self-adjoint operators

ASJC Scopus subject areas

Analysis

Cite this

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title = "Higher order self-adjoint operators with polynomial coefficients",

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.",

keywords = "Polynomial coefficients, Self-adjoint operators",

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AU - Laradji, Abdallah

AU - Mustafa, Muhammad Tahir

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N2 - 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.

AB - 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.

KW - Polynomial coefficients

KW - Self-adjoint operators

UR - https://www.scopus.com/pages/publications/85011092563

M3 - Article

AN - SCOPUS:85011092563

SN - 1072-6691

VL - 2017

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 22

ER -

Higher order self-adjoint operators with polynomial coefficients

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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