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Eigenfunction Expansion and Parseval Identity of β-Dirac Operators on the Whole Line
Nida Palamut Koşar, Cem Koşar, Ozge Akcay
Source 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.
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