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Dergiler / Black Sea Journal of Engineering and Science / 2026 / Cilt: 9 Sayı: 4

Singular Dirac Operators and Their Spectral Properties

Sevim Durak(SİVAS CUMHURİYET ÜNİVERSİTESİ)0000-0003-2591-4768
Sayfa
1653–1658
Yayın Tarihi
2026-07-15
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Using this connection, the spectral properties of the singular Dirac operator defined in the study are investigated.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, various properties of integral operator produced by singular Dirac system are learned.
📊
Temel Bulgular & Veri:In particular, important properties of singular integral operators generated by matrix functions of bounded variation are analyzed, and the connection of such operators with singular Dirac operators is established.
💡
Sonuç & Katkı:Using this connection, the spectral properties of the singular Dirac operator defined in the study are investigated.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Singular Dirac operator · Integral operator · Maximal and minimal operators

Özet

In this study, various properties of integral operator produced by singular Dirac system are learned. In particular, new results have been obtained regarding this operators set of definitions and values. In this study, first, important properties of kxk dimensional matrix functions are presented. Then, the concept of the Lipschitz condition for matrix functions is defined, and it is examined which properties such functions must satisfy in order to have the Lipschitz condition. In particular, important properties of singular integral operators generated by matrix functions of bounded variation are analyzed, and the connection of such operators with singular Dirac operators is established. Using this connection, the spectral properties of the singular Dirac operator defined in the study are investigated.

Abstract

In this study, various properties of integral operator produced by singular Dirac system are learned. In particular, new results have been obtained regarding this operators set of definitions and values. In this study, first, important properties of kxk dimensional matrix functions are presented. Then, the concept of the Lipschitz condition for matrix functions is defined, and it is examined which properties such functions must satisfy in order to have the Lipschitz condition. In particular, important properties of singular integral operators generated by matrix functions of bounded variation are analyzed, and the connection of such operators with singular Dirac operators is established. Using this connection, the spectral properties of the singular Dirac operator defined in the study are investigated.

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Bu Makaleye Atıf Yap

Durak, S. (2026). Singular Dirac Operators and Their Spectral Properties. Black Sea Journal of Engineering and Science, Cilt: 9 Sayı: 4, 1653–1658. https://doi.org/10.34248/bsengineering.1943816

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Kaynakça (21)

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