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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ftsorbonneuniv:oai:HAL:hal-04203853v1 2024-09-15T18:39:16+00:00 Further results on the computation of the annihilators of integro-differential operators Cluzeau, Thomas Pinto, Camille Quadrat, Alban XLIM (XLIM) Université de Limoges (UNILIM)-Centre National de la Recherche Scientifique (CNRS) OUtils de Résolution Algébriques pour la Géométrie et ses ApplicatioNs (OURAGAN) Inria de Paris Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)) Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité) Tromso, Norway 2023-07-24 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 en eng HAL CCSD info:eu-repo/semantics/altIdentifier/doi/10.1145/3597066.3597083 hal-04203853 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 doi:10.1145/3597066.3597083 http://creativecommons.org/licenses/by/ info:eu-repo/semantics/OpenAccess 2023 International Symposium on Symbolic and Algebraic Computation https://inria.hal.science/hal-04203853 2023 International Symposium on Symbolic and Algebraic Computation, Jul 2023, Tromso, Norway. pp.9, ⟨10.1145/3597066.3597083⟩ Non-commutative operators integro-differential operators annihilator coherence [MATH]Mathematics [math] [INFO]Computer Science [cs] info:eu-repo/semantics/conferenceObject Conference papers 2023 ftsorbonneuniv https://doi.org/10.1145/3597066.3597083 2024-07-25T23:47:40Z 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. Conference Object Tromso Tromso HAL Sorbonne Université Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation 182 190 |
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Open Polar |
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HAL Sorbonne Université |
op_collection_id |
ftsorbonneuniv |
language |
English |
topic |
Non-commutative operators integro-differential operators annihilator coherence [MATH]Mathematics [math] [INFO]Computer Science [cs] |
spellingShingle |
Non-commutative operators integro-differential operators annihilator coherence [MATH]Mathematics [math] [INFO]Computer Science [cs] Cluzeau, Thomas Pinto, Camille Quadrat, Alban Further results on the computation of the annihilators of integro-differential operators |
topic_facet |
Non-commutative operators integro-differential operators annihilator coherence [MATH]Mathematics [math] [INFO]Computer Science [cs] |
description |
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. |
author2 |
XLIM (XLIM) Université de Limoges (UNILIM)-Centre National de la Recherche Scientifique (CNRS) OUtils de Résolution Algébriques pour la Géométrie et ses ApplicatioNs (OURAGAN) Inria de Paris Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)) Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité) |
format |
Conference Object |
author |
Cluzeau, Thomas Pinto, Camille Quadrat, Alban |
author_facet |
Cluzeau, Thomas Pinto, Camille Quadrat, Alban |
author_sort |
Cluzeau, Thomas |
title |
Further results on the computation of the annihilators of integro-differential operators |
title_short |
Further results on the computation of the annihilators of integro-differential operators |
title_full |
Further results on the computation of the annihilators of integro-differential operators |
title_fullStr |
Further results on the computation of the annihilators of integro-differential operators |
title_full_unstemmed |
Further results on the computation of the annihilators of integro-differential operators |
title_sort |
further results on the computation of the annihilators of integro-differential operators |
publisher |
HAL CCSD |
publishDate |
2023 |
url |
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 |
op_coverage |
Tromso, Norway |
genre |
Tromso Tromso |
genre_facet |
Tromso Tromso |
op_source |
2023 International Symposium on Symbolic and Algebraic Computation https://inria.hal.science/hal-04203853 2023 International Symposium on Symbolic and Algebraic Computation, Jul 2023, Tromso, Norway. pp.9, ⟨10.1145/3597066.3597083⟩ |
op_relation |
info:eu-repo/semantics/altIdentifier/doi/10.1145/3597066.3597083 hal-04203853 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 doi:10.1145/3597066.3597083 |
op_rights |
http://creativecommons.org/licenses/by/ info:eu-repo/semantics/OpenAccess |
op_doi |
https://doi.org/10.1145/3597066.3597083 |
container_title |
Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation |
container_start_page |
182 |
op_container_end_page |
190 |
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1810483660114100224 |