Denjoy–Carleman Microlocal Regularity on Smooth Real Submanifolds of Complex Spaces
<p dir="ltr">We prove the existence of approximate solutions in the regular Denjoy–Carleman sense for some systems of smooth pairwise commuting complex vector fields. Such approximate solutions provide a well-defined notion of Denjoy–Carleman wave front set of distributions on -smoot...
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| منشور في: |
2025
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| _version_ | 1864513538149580800 |
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| author | Nicholas Braun Rodrigues (22330195) |
| author2 | Antonio Victor da Silva (22330198) |
| author2_role | author |
| author_facet | Nicholas Braun Rodrigues (22330195) Antonio Victor da Silva (22330198) |
| author_role | author |
| dc.creator.none.fl_str_mv | Nicholas Braun Rodrigues (22330195) Antonio Victor da Silva (22330198) |
| dc.date.none.fl_str_mv | 2025-02-12T09:00:00Z |
| dc.identifier.none.fl_str_mv | 10.1007/s00041-025-10144-z |
| dc.relation.none.fl_str_mv | https://figshare.com/articles/journal_contribution/Denjoy_Carleman_Microlocal_Regularity_on_Smooth_Real_Submanifolds_of_Complex_Spaces/30233770 |
| dc.rights.none.fl_str_mv | CC BY 4.0 info:eu-repo/semantics/openAccess |
| dc.subject.none.fl_str_mv | Mathematical sciences Applied mathematics Mathematical physics F.B.I. transform Denjoy–Carleman classes Quasianalytic classes Maximally real submanifolds |
| dc.title.none.fl_str_mv | Denjoy–Carleman Microlocal Regularity on Smooth Real Submanifolds of Complex Spaces |
| dc.type.none.fl_str_mv | Text Journal contribution info:eu-repo/semantics/publishedVersion text contribution to journal |
| description | <p dir="ltr">We prove the existence of approximate solutions in the regular Denjoy–Carleman sense for some systems of smooth pairwise commuting complex vector fields. Such approximate solutions provide a well-defined notion of Denjoy–Carleman wave front set of distributions on -smooth maximally real submanifolds in complex space which can be characterized in terms of the decay of a Fourier–Bros–Iagolnitzer transform. We also apply the approximate solutions to analyze the Denjoy–Carleman microlocal regularity of solutions of certain systems of first-order nonlinear partial differential equations.</p><h2>Other Information</h2><p dir="ltr">Published in: Journal of Fourier Analysis and Applications<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1007/s00041-025-10144-z" target="_blank">https://dx.doi.org/10.1007/s00041-025-10144-z</a></p> |
| eu_rights_str_mv | openAccess |
| id | Manara2_488fa00a087bd450a6052903089f9768 |
| identifier_str_mv | 10.1007/s00041-025-10144-z |
| network_acronym_str | Manara2 |
| network_name_str | Manara2 |
| oai_identifier_str | oai:figshare.com:article/30233770 |
| publishDate | 2025 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| rights_invalid_str_mv | CC BY 4.0 |
| spelling | Denjoy–Carleman Microlocal Regularity on Smooth Real Submanifolds of Complex SpacesNicholas Braun Rodrigues (22330195)Antonio Victor da Silva (22330198)Mathematical sciencesApplied mathematicsMathematical physicsF.B.I. transformDenjoy–Carleman classesQuasianalytic classesMaximally real submanifolds<p dir="ltr">We prove the existence of approximate solutions in the regular Denjoy–Carleman sense for some systems of smooth pairwise commuting complex vector fields. Such approximate solutions provide a well-defined notion of Denjoy–Carleman wave front set of distributions on -smooth maximally real submanifolds in complex space which can be characterized in terms of the decay of a Fourier–Bros–Iagolnitzer transform. We also apply the approximate solutions to analyze the Denjoy–Carleman microlocal regularity of solutions of certain systems of first-order nonlinear partial differential equations.</p><h2>Other Information</h2><p dir="ltr">Published in: Journal of Fourier Analysis and Applications<br>License: <a href="https://creativecommons.org/licenses/by/4.0" target="_blank">https://creativecommons.org/licenses/by/4.0</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1007/s00041-025-10144-z" target="_blank">https://dx.doi.org/10.1007/s00041-025-10144-z</a></p>2025-02-12T09:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1007/s00041-025-10144-zhttps://figshare.com/articles/journal_contribution/Denjoy_Carleman_Microlocal_Regularity_on_Smooth_Real_Submanifolds_of_Complex_Spaces/30233770CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/302337702025-02-12T09:00:00Z |
| spellingShingle | Denjoy–Carleman Microlocal Regularity on Smooth Real Submanifolds of Complex Spaces Nicholas Braun Rodrigues (22330195) Mathematical sciences Applied mathematics Mathematical physics F.B.I. transform Denjoy–Carleman classes Quasianalytic classes Maximally real submanifolds |
| status_str | publishedVersion |
| title | Denjoy–Carleman Microlocal Regularity on Smooth Real Submanifolds of Complex Spaces |
| title_full | Denjoy–Carleman Microlocal Regularity on Smooth Real Submanifolds of Complex Spaces |
| title_fullStr | Denjoy–Carleman Microlocal Regularity on Smooth Real Submanifolds of Complex Spaces |
| title_full_unstemmed | Denjoy–Carleman Microlocal Regularity on Smooth Real Submanifolds of Complex Spaces |
| title_short | Denjoy–Carleman Microlocal Regularity on Smooth Real Submanifolds of Complex Spaces |
| title_sort | Denjoy–Carleman Microlocal Regularity on Smooth Real Submanifolds of Complex Spaces |
| topic | Mathematical sciences Applied mathematics Mathematical physics F.B.I. transform Denjoy–Carleman classes Quasianalytic classes Maximally real submanifolds |