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Corrigendum on the proof of completeness for exceptional Hermite polynomials

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dc.contributor.authorGómez Ullate, David
dc.contributor.authorGrandati, Yves
dc.contributor.authorMilson, Robert
dc.contributor.funderMinistry of Economy, Industry and Competitiveness
dc.contributor.funderFederación Española de Enfermedades Raras
dc.contributor.rorhttps://ror.org/02jjdwm75
dc.date.accessioned2025-02-18T11:54:21Z
dc.date.available2025-02-18T11:54:21Z
dc.date.issued2020-05
dc.description.abstractExceptional orthogonal polynomials are complete families of orthogonal polynomials that arise as eigenfunctions of a Sturm Liouville problem. Antonio Durán discovered a gap in the original proof of completeness for exceptional Hermite polynomials, that has propagated to analogous results for other exceptional families. In this paper we provide an alternative proof that follows essentially the same arguments, but provides a direct proof of the key lemma on which the completeness proof is based. This direct proof makes use of the theory of trivial monodromy potentials developed by Duistermaat and Grünbaum and Oblomkov
dc.description.peerreviewedyes
dc.description.statusPublished
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dc.identifier.citationGómez-Ullate, D., Grandati, Y., & Milson, R. (2020). Corrigendum on the proof of completeness for exceptional Hermite polynomials. Journal of Approximation Theory, 253, 105350. https://doi.org/10.1016/j.jat.2019.105350
dc.identifier.doihttps://doi.org/10.1016/j.jat.2019.105350
dc.identifier.issn1096-0430
dc.identifier.urihttps://hdl.handle.net/20.500.14417/3562
dc.journal.titleJournal of Approximation Theory
dc.language.isoen
dc.page.total10
dc.publisherScience Direct
dc.relation.departmentApplied Mathematics
dc.relation.entityIE University
dc.relation.projectIDRTI2018-100754-B-I00
dc.relation.projectIDPGC2018-096504-B-C33
dc.relation.schoolIE School of Science & Technology
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.en
dc.subject.keywordExceptional Hermite polynomials
dc.subject.keywordTrivial monodromy potentials
dc.subject.keywordCompleteness
dc.titleCorrigendum on the proof of completeness for exceptional Hermite polynomials
dc.typeinfo:eu-repo/semantics/article
dc.version.typeinfo:eu-repo/semantics/publishedVersion
dc.volume.number253
dspace.entity.typePublication
relation.isAuthorOfPublicationd0525f43-b84b-4613-9984-4324ddf81556
relation.isAuthorOfPublication.latestForDiscoveryd0525f43-b84b-4613-9984-4324ddf81556
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