POWERS OF REAL SYMMETRIC DIFFERENTIAL EXPRESSIONS WITHOUT SMOOTHNESS ASSUMPTIONS
作者:
Anton Zettl,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1976)
卷期:
Volume 1,
issue 1
页码: 83-94
ISSN:1607-3606
年代: 1976
DOI:10.1080/16073606.1976.9632515
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
In recent years many authors have studied properties of powers of symmetric (formally self-adjoint) ordinary linear differential expressions. So that these powers can be formed in the classical way these authors have placed heavy smoothness assumptions on the coefficients. Here we show that no differentiability conditions whatsoever are needed on the coefficients in order to form powers of a given expression-provided these powers are formed in the quasi-differential sense rather than the classical one.
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