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

Institutions

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
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

On Estimates of the Rate of Equiconvergence of SpectralExpansions for the Dirac System with a Summable Potential

I. V. Sadovnichaya
Differential Equations
Spectral Theory in Mathematical Physics
article

On Estimates of the Rate of Equiconvergence of SpectralExpansions for the Dirac System with a Summable Potential

I. V. Sadovnichaya
article en

Abstract

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.

Differential EquationsVol. 61(10)
Lomonosov Moscow State University (RU)
Reduced inequalities
Openalex Percentile: Top 17%
Spectral Theory in Mathematical Physics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.