Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899248 | Journal of Mathematical Analysis and Applications | 2018 | 7 Pages |
Abstract
Euler operators are partial differential operators of the form P(θ) where P is a polynomial and θj=xjâ/âxj. We show that every non-trivial Euler operator is surjective on the space of temperate distributions on Rd. This is in sharp contrast to the behaviour of such operators when acting on spaces of differentiable or analytic functions.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Dietmar Vogt,