Almost-orthogonality of restricted haar functions

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dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorWeigt, Julian
dc.contributor.departmentDepartment of Mathematics and Systems Analysisen
dc.date.accessioned2020-04-28T06:47:43Z
dc.date.available2020-04-28T06:47:43Z
dc.date.issued2020-02
dc.description.abstractWe consider the Haar functions hI on dyadic intervals. We show that if p > 2 3 and E ⊂ [0, 1], then the set of all functions ∥hI1E∥-1 2 hI1E with |I ∩ E| ≥ p|I| is a Riesz sequence. For p ≤ 2 3 we provide a counterexample.en
dc.description.versionPeer revieweden
dc.format.extent9
dc.format.mimetypeapplication/pdf
dc.identifier.citationWeigt, J 2020, 'Almost-orthogonality of restricted haar functions', Proceedings of the American Mathematical Society, vol. 148, no. 2, pp. 601-609. https://doi.org/10.1090/proc/14752en
dc.identifier.doi10.1090/proc/14752
dc.identifier.issn0002-9939
dc.identifier.issn1088-6826
dc.identifier.otherPURE UUID: 74327783-dc81-4166-89af-213bc76d6b47
dc.identifier.otherPURE ITEMURL: https://research.aalto.fi/en/publications/74327783-dc81-4166-89af-213bc76d6b47
dc.identifier.otherPURE FILEURL: https://research.aalto.fi/files/42100463/SCI_Weigt_Almost_orthogonality_of_restricted_haar_functions.1807.10809.pdf
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/43881
dc.identifier.urnURN:NBN:fi:aalto-202306053548
dc.language.isoenen
dc.publisherAmerican Mathematical Society
dc.relation.ispartofseriesProceedings of the American Mathematical Societyen
dc.relation.ispartofseriesVolume 148, issue 2, pp. 601-609en
dc.rightsopenAccessen
dc.titleAlmost-orthogonality of restricted haar functionsen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionacceptedVersion

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