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Communication Dans Un Congrès Année : 2023

Further results on the computation of the annihilators of integro-differential operators

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This paper exposes some effective aspects of the algebra of linear ordinary integro-differential operators with polynomial coefficients. More precisely, we prove that the annihilator of an evaluation operator is a finitely generated ideal which can be explicitly characterized and computed. This is an advance towards the development of an effective elimination theory for ordinary integro-differential operators and an effective study of linear systems of integro-differential equations with polynomial coefficients.
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hal-04203853 , version 1 (11-09-2023)

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Thomas Cluzeau, Camille Pinto, Alban Quadrat. Further results on the computation of the annihilators of integro-differential operators. 2023 International Symposium on Symbolic and Algebraic Computation, Jul 2023, Tromso, Norway. pp.9, ⟨10.1145/3597066.3597083⟩. ⟨hal-04203853⟩
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