Show simple item record

Files in this item

Thumbnail
Name:
Fraser_2024_MA_Fourier-spectrum_CC.pdf
Size:
541.7Kb
Format:
PDF
View/Open

The Fourier spectrum and sumset type problems

Item metadata

dc.contributor.authorFraser, Jonathan
dc.date.accessioned2024-04-05T10:30:02Z
dc.date.available2024-04-05T10:30:02Z
dc.date.issued2024-04-05
dc.identifier300332965
dc.identifieref53f78b-469e-4230-8925-0f3d2341c24a
dc.identifier85189452325
dc.identifier.citationFraser , J 2024 , ' The Fourier spectrum and sumset type problems ' , Mathematische Annalen . https://doi.org/10.1007/s00208-024-02843-7en
dc.identifier.issn0025-5831
dc.identifier.otherORCID: /0000-0002-8066-9120/work/157140774
dc.identifier.urihttps://hdl.handle.net/10023/29614
dc.descriptionFunding: EPSRC Standard Grant (EP/R015104/1), a Leverhulme Trust Research Project Grant (RPG-2019-034) and an RSE Sabbatical Research Grant (70249).en
dc.description.abstractWe introduce and study the Fourier spectrum which is a continuously parametrised family of dimensions living between the Fourier dimension and the Hausdorff dimension for both sets and measures. We establish some fundamental theory and motivate the concept via several applications, especially to sumset type problems. For example, we study dimensions of convolutions and sumsets, and solve the distance set problem for sets satisfying certain Fourier analytic conditions.
dc.format.extent554739
dc.language.isoeng
dc.relation.ispartofMathematische Annalenen
dc.subjectFourier spectrumen
dc.subjectFourier transformen
dc.subjectFourier dimensionen
dc.subjectSobolev dimensionen
dc.subjectHausdorff dimensionen
dc.subjectConvolutionen
dc.subjectDistance seten
dc.subjectSunseten
dc.subjectQA Mathematicsen
dc.subjectT-DASen
dc.subject.lccQAen
dc.titleThe Fourier spectrum and sumset type problemsen
dc.typeJournal articleen
dc.contributor.sponsorEPSRCen
dc.contributor.sponsorThe Leverhulme Trusten
dc.contributor.sponsorThe Royal Society of Edinburghen
dc.contributor.institutionUniversity of St Andrews. School of Mathematics and Statisticsen
dc.contributor.institutionUniversity of St Andrews. Pure Mathematicsen
dc.contributor.institutionUniversity of St Andrews. Centre for Interdisciplinary Research in Computational Algebraen
dc.identifier.doi10.1007/s00208-024-02843-7
dc.description.statusPeer revieweden
dc.identifier.grantnumberEP/R015104/1en
dc.identifier.grantnumberRPG-2019-034en
dc.identifier.grantnumberN/Aen


This item appears in the following Collection(s)

Show simple item record

Items in the St Andrews Research Repository are protected by copyright, with all rights reserved, unless otherwise indicated.