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Eigenfunction Expansion and Parseval Identity of β-Dirac Operators on the Whole LineKoşar, Nida PalamutKoşar, CemAkcay, Ozgegeneral quantum operatorβ-derivativeβ-difference operatorβ-Dirac systemβ-integralIn 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.Multidisciplinary Digital Publishing Institute (MDPI)2026Articlehttps://rdlopen.rawdatalibrary.net/r/munzur/643https://doi.org/10.3390/math141833512227-7390enMathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://munzur-rdlopen.rawdatalibrary.net/tr/items/munzur/643