Abstract
Euler operators are partial differential operators of the form P(θ) where P is a polynomial and θj=xj∂/∂xj. 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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have