Publikation: Natural annihilators and operators of constant rank over C
Lade...
Dateien
Datum
2024
Autor:innen
Schiffer, Stefan
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
URI (zitierfähiger Link)
DOI (zitierfähiger Link)
Internationale Patentnummer
Link zur Lizenz
Angaben zur Forschungsförderung
Deutsche Forschungsgemeinschaft (DFG): 390685813
Projekt
Open Access-Veröffentlichung
Open Access Gold
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
Rendiconti Lincei, Matematica e Applicazioni. European Mathematical Society (EMS). 2024, 35(2), S. 155-173. ISSN 1120-6330. eISSN 1720-0768. Verfügbar unter: doi: 10.4171/rlm/1037
Zusammenfassung
Even if the Fourier symbols of two constant rank differential operators have the same nullspace for each non-trivial phase space variable, the nullspaces of those differential operators might differ by an infinite-dimensional space. Under the natural condition of constant rank over C, we establish that the equality of nullspaces on the Fourier symbol level already implies the equality of the nullspaces of the differential operators in D′ modulo polynomials of a fixed degree. In particular, this condition allows one to speak of natural annihilators within the framework of complexes of differential operators.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
linear partial differential operators, constant rank operators, elliptic operators, Poincaré lemma
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690
GMEINEDER, Franz, Stefan SCHIFFER, 2024. Natural annihilators and operators of constant rank over C. In: Rendiconti Lincei, Matematica e Applicazioni. European Mathematical Society (EMS). 2024, 35(2), S. 155-173. ISSN 1120-6330. eISSN 1720-0768. Verfügbar unter: doi: 10.4171/rlm/1037BibTex
@article{Gmeineder2024-11-14Natur-72103, title={Natural annihilators and operators of constant rank over C}, year={2024}, doi={10.4171/rlm/1037}, number={2}, volume={35}, issn={1120-6330}, journal={Rendiconti Lincei, Matematica e Applicazioni}, pages={155--173}, author={Gmeineder, Franz and Schiffer, Stefan} }
RDF
<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/72103"> <dc:contributor>Schiffer, Stefan</dc:contributor> <dcterms:title>Natural annihilators and operators of constant rank over C</dcterms:title> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2025-01-30T10:30:23Z</dcterms:available> <dc:contributor>Gmeineder, Franz</dc:contributor> <dcterms:abstract>Even if the Fourier symbols of two constant rank differential operators have the same nullspace for each non-trivial phase space variable, the nullspaces of those differential operators might differ by an infinite-dimensional space. Under the natural condition of constant rank over C, we establish that the equality of nullspaces on the Fourier symbol level already implies the equality of the nullspaces of the differential operators in D′ modulo polynomials of a fixed degree. In particular, this condition allows one to speak of natural annihilators within the framework of complexes of differential operators.</dcterms:abstract> <dcterms:issued>2024-11-14</dcterms:issued> <dc:creator>Schiffer, Stefan</dc:creator> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/72103"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2025-01-30T10:30:23Z</dc:date> <foaf:homepage rdf:resource="http://localhost:8080/"/> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/> <dc:rights>terms-of-use</dc:rights> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/72103/1/Gmeineder_2-13y8cwp0tlpiu3.pdf"/> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/72103/1/Gmeineder_2-13y8cwp0tlpiu3.pdf"/> <dc:language>eng</dc:language> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:creator>Gmeineder, Franz</dc:creator> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> </rdf:Description> </rdf:RDF>
Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Ja