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On basicity of exponential and trigonometric systems in grand Lebesgue spaces

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dc.contributor.authorIsmailov, Migdad I.
dc.contributor.authorZeren, Yusuf
dc.contributor.authorAcar, Kader Simsir
dc.contributor.authorAliyarova, Ilahe F.
dc.date.accessioned2026-06-27T14:42:30Z
dc.date.issued2022
dc.description.abstractBasis properties of exponential and trigonometric systems in grand Lebesgue spaces Lp)(-7r, 7r) are studied. Based on a shift operator, we consider the subspace Gp)(-7r, 7r) of the space Lp)(-7r, 7r), where continuous functions are dense, and the boundedness of the singular operator in this subspace is proved. We establish the basicity of exponential system {eint}n is an element of Z for Gp)(-7r, 7r) and the basicity of trigonometric systems {sin nt}n is an element of N and {cos nt}n is an element of N0 for Gp)(0, 7r).en
dc.description.sponsorshipScience Development Foundation under the President of the Republic of Azerbaijan
dc.description.sponsorship[EIF-ETL-2020-2 (36) -16/04/1- M-04)]
dc.description.urihttps://doi.org/10.15672/hujms.1076849
dc.identifier.doi10.15672/hujms.1076849
dc.identifier.eissn2651-477X
dc.identifier.endpage1587
dc.identifier.issue6
dc.identifier.startpage1577
dc.identifier.urihttps://hdl.handle.net/20.500.14981/63775
dc.identifier.volume51
dc.identifier.wos000889924600006
dc.language.isoeng
dc.publisherHACETTEPE UNIV, FAC SCI
dc.relation.ispartofHACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
dc.rightsopenAccess
dc.subjectgrand Lebesgue space
dc.subjectexponential system
dc.subjectminimality
dc.subjectdensity
dc.subjectbasis
dc.subjectPIECEWISE-LINEAR PHASE
dc.subjectAPPROXIMATION
dc.subjectTHEOREMS
dc.subjectMathematics
dc.titleOn basicity of exponential and trigonometric systems in grand Lebesgue spaces
dc.typeArticle
dspace.entity.typePublication
local.import.sourceWOS

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