Open Access
March 2011 Fréchet spaces invariant under differential operators
Carmen Fernández, Antonio Galbis, Jordi Juan-Huguet
Funct. Approx. Comment. Math. 44(1): 45-61 (March 2011). DOI: 10.7169/facm/1301497746

Abstract

A Fréchet space of distributions which is stable under differential operators is continuously included in ${\mathcal C}^\infty$. We give extensions of this result to the ultradifferentiable setting and show their connection with the problem of iterates of differential operators

Citation

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Carmen Fernández. Antonio Galbis. Jordi Juan-Huguet. "Fréchet spaces invariant under differential operators." Funct. Approx. Comment. Math. 44 (1) 45 - 61, March 2011. https://doi.org/10.7169/facm/1301497746

Information

Published: March 2011
First available in Project Euclid: 30 March 2011

zbMATH: 54.0036.03
MathSciNet: MR2807898
Digital Object Identifier: 10.7169/facm/1301497746

Subjects:
Primary: 46F05
Secondary: 47F05

Keywords: elliptic and hypoelliptic polynomials , iterates of an operator , ultradistributions

Rights: Copyright © 2011 Adam Mickiewicz University

Vol.44 • No. 1 • March 2011
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