Geodesic
A generalization of a theorem of Mammana
Roberto Camporesi1 ; Antonio J. Di Scala2
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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
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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. http://geodesic.mathdoc.fr/articles/10.4064/cm122-2-6/

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