Geodesic
A generalization of a theorem of Mammana
Roberto Camporesi1 ; Antonio J. Di Scala2
1Dipartimento di Matematica Politecnico di Torino Corso Duca degli Abruzzi 24 10129 Torino Italy
2Dipartimento 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

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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

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