Riesz Bases Generated by the Spectra of Dirac Operators
Abstract
We prove, that if $$\{\lambda_{n}\}_{n\in Z}$$ is the set of eigenvalues of selfadjoint Dirac operator on $$(0,\pi)$$ , then the system $$\left\{\left(\begin{matrix}\sin\lambda_{n}x\\ -\cos\lambda_{n}x\end{matrix}\right)\right\}_{n\in Z}$$ is a Riesz bases in Hilbert space $$L^{2}([0,\pi]),C^{2})$$ .
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Mathematical Analysis and Transform Methods
Holomorphic and Operator Theory
Publication details
- Journal / source
- Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
- Volume
- 61
- Issue
- 1
- Pages
- 44–47
- Publication date
- 1 February 2026
- Language
- EN