On Estimates of the Rate of Equiconvergence of SpectralExpansions for the Dirac System with a Summable Potential
This article is devoted to estimating the rate of equiconvergence of spectral expansions for the Dirac system on a finite interval. The potential of the operator is assumed to be summable, and the boundary conditions are Birkhoff-regular. Results are obtained for the case where the expanded function $$ f$$ is square summable, and qualified estimates of the equiconvergence rate are separately provided for the case of a square-summable potential and a function $$f $$ from the scale of Sobolev spaces.
Authors
- I. V. Sadovnichaya
Institutions
- Lomonosov Moscow State University (RU)
Publication Details
- Journal
- Differential Equations
- Published
- 2025-10-01
- DOI
- https://doi.org/10.1134/s0012266125100039
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00