CONTINUOUS LINEAR RIGHT INVERSES FOR PARTIAL-DIFFERENTIAL OPERATORS ON NON-QUASIANALYTIC CLASSES AND ON ULTRADISTRIBUTIONS

Authors
MEISE R TAYLOR BA VOGT D
Citation
R. Meise et al., CONTINUOUS LINEAR RIGHT INVERSES FOR PARTIAL-DIFFERENTIAL OPERATORS ON NON-QUASIANALYTIC CLASSES AND ON ULTRADISTRIBUTIONS, Mathematische Nachrichten, 180, 1996, pp. 213-242
Citations number
26
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Mathematische Nachrichten → ACNP
ISSN journal
0025584X
Volume
180
Year of publication
1996
Pages
213 - 242
Database
ISI
SICI code
0025-584X(1996)180:<213:CLRIFP>2.0.ZU;2-S
Abstract
Characterizations are given of those linear partial differential opera tors with constant coefficients which admit a continuous linear right inverse on epsilon((omega))(Omega) (resp. epsilon({omega})(Omega)) and /or D'((omega))(Omega) (resp. D'({omega})(Omega)), where Omega is an o pen set in R(n). The characterizations are in the same spirit as in th e previous results of the authors on the existence of right inverses o n C-infinity(Omega) and/or D'(Omega).