Further results on the computation of the annihilators of integro-differential operators
International audience 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...
Published in: | Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation |
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Main Authors: | , , |
Other Authors: | , , , , |
Format: | Conference Object |
Language: | English |
Published: |
HAL CCSD
2023
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Subjects: | |
Online Access: | https://inria.hal.science/hal-04203853 https://inria.hal.science/hal-04203853/document https://inria.hal.science/hal-04203853/file/article_issac_publie%CC%81.pdf https://doi.org/10.1145/3597066.3597083 |
Summary: | International audience 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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