This article estimates equiconvergence rates of spectral expansions in Dirac systems, indicating the behavior of specific potentials.
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.
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I. V. Sadovnichaya (2025) studied this question.
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