Eigenfunction Expansion and Parseval Identity of β-Dirac Operators on the Whole Line

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In the present work, we investigate a (Formula presented.) -Dirac problem on the whole-line. Our primary objectives are threefold: to demonstrate the existence of a spectral function, to deduce the associated Parseval identity, and to formulate an eigenfunction expansion theorem that characterizes the behavior of the problem under consideration.

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https://rdlopen.rawdatalibrary.net/r/munzur/643Resmi atıflarda kullanılan kalıcı adres
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https://doi.org/10.3390/math14183351Yayıncı resmi DOI adresi
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dc.contributor.authorKoşar, Nida Palamut
dc.contributor.authorKoşar, Cem
dc.contributor.authorAkcay, Ozge
dc.date.accessioned2026-10-28T14:48:00.112321999Z
dc.date.available2026-10-28T14:48:00.112321999Z
dc.date.issued2026
dc.description.abstractIn the present work, we investigate a (Formula presented.) -Dirac problem on the whole-line. Our primary objectives are threefold: to demonstrate the existence of a spectral function, to deduce the associated Parseval identity, and to formulate an eigenfunction expansion theorem that characterizes the behavior of the problem under consideration.
dc.identifier.articlenumber3351
dc.identifier.doi10.3390/math14183351
dc.identifier.eissn2227-7390
dc.identifier.issn2227-7390
dc.identifier.issue18
dc.identifier.scopus2-s2.0-105051592108
dc.identifier.urihttps://rdlopen.rawdatalibrary.net/r/munzur/643
dc.identifier.volume14
dc.identifier.wosWOS:001890984900001
dc.language.isoen
dc.publisherMultidisciplinary Digital Publishing Institute (MDPI)
dc.relation.ispartofMathematics
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectgeneral quantum operator
dc.subjectβ-derivative
dc.subjectβ-difference operator
dc.subjectβ-Dirac system
dc.subjectβ-integral
dc.subject.classificationMathematics
dc.titleEigenfunction Expansion and Parseval Identity of β-Dirac Operators on the Whole Line
dc.typeArticle
rdl.citation.openalex0
rdl.citation.scopus0
rdl.citation.wos0
rdl.oa.statusgold
rdl.oa.urlhttps://doi.org/10.3390/math14183351
rdl.scopus.quartileQ2
rdl.source.indexSCOPUS
rdl.source.indexWOS
rdl.wos.indexScience Citation Index Expanded (SCI-EXPANDED)