A generalization of a theorem of Mammana

Roberto Camporesi, and Antonio J. Di Scala. "A generalization of a theorem of Mammana." Colloquium Mathematicae 122.2 (2011): 215-223. <http://eudml.org/doc/283975>.

@article{RobertoCamporesi2011,
abstract = {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.},
author = {Roberto Camporesi, Antonio J. Di Scala},
journal = {Colloquium Mathematicae},
keywords = {linear differential operators; Pólya-Mammana factorization},
language = {eng},
number = {2},
pages = {215-223},
title = {A generalization of a theorem of Mammana},
url = {http://eudml.org/doc/283975},
volume = {122},
year = {2011},
}

TY - JOUR
AU - Roberto Camporesi
AU - Antonio J. Di Scala
TI - A generalization of a theorem of Mammana
JO - Colloquium Mathematicae
PY - 2011
VL - 122
IS - 2
SP - 215
EP - 223
AB - 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.
LA - eng
KW - linear differential operators; Pólya-Mammana factorization
UR - http://eudml.org/doc/283975
ER -