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The division problem for tempered distributions of one variable

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The division problem for tempered distributions of one variable

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Bonet Solves, JA.; Frerick, L.; Jorda Mora, E. (2012). The division problem for tempered distributions of one variable. Journal of Functional Analysis. 262(5):2349-2358. doi:10.1016/j.jfa.2011.12.006

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Title: The division problem for tempered distributions of one variable
Author: Bonet Solves, José Antonio Frerick, Leonhard Jorda Mora, Enrique
UPV Unit: Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
We give a characterization, in one variable case, of those C-infinity multipliers F such that the division problem is solvable in S'(R). For these functions F is an element of O-M (R) we even prove that the multiplication ...[+]
Subjects: Closed range operators , Continuous linear left inverse , Division problem , Tempered distributions
Copyrigths: Reserva de todos los derechos
Source:
Journal of Functional Analysis. (issn: 0022-1236 )
DOI: 10.1016/j.jfa.2011.12.006
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.jfa.2011.12.006
Project ID:
MEC
FEDER [MTM2010-15200]
[Prometeo/2008/101]
Thanks:
This research was partially supported by MEC and FEDER Project MTM2010-15200 and by GV Project Prometeo/2008/101.
Type: Artículo

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