Submitted:
04 August 2026
Posted:
05 August 2026
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Abstract
In the present work, we investigate a β-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.
Keywords:
general quantum operator
; β-difference operator
; β-derivative
; β-integral
; β-Dirac system
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