Mathematics· 2026Q2
Eigenfunction Expansion and Parseval Identity of β-Dirac Operators on the Whole Line
- 0citations
- Q2SCImago
- 2026year
Short summary
A new eigenfunction expansion theorem and Parseval identity are established for β-Dirac operators on the whole line, characterizing their spectral behavior.
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Key points
- Establishes an eigenfunction expansion theorem for β-Dirac operators on the whole line.
- Deduces the associated Parseval identity for these operators.
- Demonstrates the existence of a spectral function for the β-Dirac problem.
AI-generated from the title and abstract; the full text is not read.
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.
The authors' abstract, as published at the source. Mathematics, 2026 · DOI ↗
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Field: Mathematical Physics
Mathematical PhysicsMathematics