Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

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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).
Published online: 
02.03.2026
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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: 
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Received: 
15.06.2024
Accepted: 
01.09.2025
Published: 
02.03.2026
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