For citation:

Ibadov E. J. Componentwise equiconvergence theorem for the Dirac operator with a summable potential. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2026, vol. 26, iss. 1, pp. 4-16. DOI: 10.18500/1816-9791-2026-26-1-4-16, EDN: DXTJFB

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).

Full text:

download

(downloads: 6)

Language:

Russian

Heading:

Mathematics

Article type:

Article

UDC:

517

DOI:

10.18500/1816-9791-2026-26-1-4-16

EDN:

DXTJFB

Componentwise equiconvergence theorem for the Dirac operator with a summable potential

Autors:

Ibadov Elchin J., Azerbaijan State Pedagogical University

Abstract:

The article considers the Dirac operator with a summable potential on the finite interval $(a,b)$. It studies the componentwise equiconvergence of the orthogonal decomposition with a trigonometric Fourier series and finds a sufficient condition for componentwise equiconvergence on the compact main interval $(a,b)$.

Key words:

Dirac operator

eigenvector function

componentwise equiconvergence

Riss inequality

References: