Geodesic
A generalization of a theorem of Mammana
Roberto Camporesi 1   ; Antonio J. Di Scala 2
1 Dipartimento di Matematica Politecnico di Torino Corso Duca degli Abruzzi 24 10129 Torino Italy
2 Dipartimento di Matematica Politecnico di Torino Corso Duca degli Abruzzi 24 10129 Torino, Italy
Colloquium Mathematicum, Tome 122 (2011) no. 2, pp. 215-223 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We prove that any linear ordinary differential operator with complex-valued coefficients continuous in an interval $I$ can be factored into a product of first-order operators globally defined on $I$. This generalizes a theorem of Mammana for the case of real-valued coefficients.
DOI : 10.4064/cm122-2-6
Keywords: prove linear ordinary differential operator complex valued coefficients continuous interval factored product first order operators globally defined generalizes theorem mammana real valued coefficients

Roberto Camporesi  1   ; Antonio J. Di Scala  2

1 Dipartimento di Matematica Politecnico di Torino Corso Duca degli Abruzzi 24 10129 Torino Italy
2 Dipartimento di Matematica Politecnico di Torino Corso Duca degli Abruzzi 24 10129 Torino, Italy 
@article{10_4064_cm122_2_6,
     author = {Roberto Camporesi and Antonio J. Di Scala},
     title = {A generalization of a theorem of {Mammana}},
     journal = {Colloquium Mathematicum},
     pages = {215--223},
     year = {2011},
     volume = {122},
     number = {2},
     doi = {10.4064/cm122-2-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm122-2-6/}
}
TY  - JOUR
AU  - Roberto Camporesi
AU  - Antonio J. Di Scala
TI  - A generalization of a theorem of Mammana
JO  - Colloquium Mathematicum
PY  - 2011
SP  - 215
EP  - 223
VL  - 122
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm122-2-6/
DO  - 10.4064/cm122-2-6
LA  - en
ID  - 10_4064_cm122_2_6
ER  - 
%0 Journal Article
%A Roberto Camporesi
%A Antonio J. Di Scala
%T A generalization of a theorem of Mammana
%J Colloquium Mathematicum
%D 2011
%P 215-223
%V 122
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/cm122-2-6/
%R 10.4064/cm122-2-6
%G en
%F 10_4064_cm122_2_6
Roberto Camporesi; Antonio J. Di Scala. A generalization of a theorem of Mammana. Colloquium Mathematicum, Tome 122 (2011) no. 2, pp. 215-223. doi: 10.4064/cm122-2-6

Cité par Sources :