Article contents
Real roots of polynomials and right inverses for partial differential operators in the space of tempered distributions
Published online by Cambridge University Press: 14 November 2011
Synopsis
Let P(D) be a partial differential operator with constant coefficients. If P(D) has a continuous linear right inverse in the space of tempered distributions, then P is the product of a polynomial without real roots and a real polynomial admitting a right inverse. If the polynomial P is real and irreducible, then P(D) admits a right inverse in the tempered distributions if and only if P(×) has the property of zeros of R. Thorn.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 114 , Issue 3-4 , 1990 , pp. 169 - 179
- Copyright
- Copyright © Royal Society of Edinburgh 1990
References
- 5
- Cited by