Volkov, Boris O. Lévy Laplacians, holonomy group and instantons on 4-manifolds. (English) Zbl 1525.70047 Potential Anal. 59, No. 3, 1381-1397 (2023). Reviewer: Mohammad Khorrami (Tehrān) MSC: 70S15 70G45 PDFBibTeX XMLCite \textit{B. O. Volkov}, Potential Anal. 59, No. 3, 1381--1397 (2023; Zbl 1525.70047) Full Text: DOI arXiv
Volkov, B. O. Applications of Lévy differential operators in the theory of gauge fields. (English. Russian original) Zbl 1468.60087 J. Math. Sci., New York 252, No. 1, 20-35 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 151, 21-36 (2018). MSC: 60H40 60H07 81S25 PDFBibTeX XMLCite \textit{B. O. Volkov}, J. Math. Sci., New York 252, No. 1, 20--35 (2021; Zbl 1468.60087); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 151, 21--36 (2018) Full Text: DOI
Volkov, Boris O. Lévy Laplacians and instantons on manifolds. (English) Zbl 1460.58005 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 2, Article ID 2050008, 20 p. (2020). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 58B20 53C07 70S15 58J35 PDFBibTeX XMLCite \textit{B. O. Volkov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 23, No. 2, Article ID 2050008, 20 p. (2020; Zbl 1460.58005) Full Text: DOI arXiv
Volkov, Boris. O. Lévy Laplacian on manifold and Yang-Mills heat flow. (English) Zbl 1432.58009 Lobachevskii J. Math. 40, No. 10, 1619-1630 (2019). Reviewer: Georgios Kydonakis (Strasbourg) MSC: 58E15 58B20 PDFBibTeX XMLCite \textit{Boris. O. Volkov}, Lobachevskii J. Math. 40, No. 10, 1619--1630 (2019; Zbl 1432.58009) Full Text: DOI arXiv
Volkov, Boris O. Lévy differential operators and gauge invariant equations for Dirac and Higgs fields. (English) Zbl 1509.70033 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 1, Article ID 1950001, 20 p. (2019). MSC: 70S15 81V05 PDFBibTeX XMLCite \textit{B. O. Volkov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 22, No. 1, Article ID 1950001, 20 p. (2019; Zbl 1509.70033) Full Text: DOI arXiv
Volkov, Boris O. Lévy Laplacians in Hida calculus and Malliavin calculus. (English. Russian original) Zbl 1451.60056 Proc. Steklov Inst. Math. 301, 11-24 (2018); translation from Tr. Mat. Inst. Steklova 301, 18-32 (2018). MSC: 60H07 60H40 PDFBibTeX XMLCite \textit{B. O. Volkov}, Proc. Steklov Inst. Math. 301, 11--24 (2018; Zbl 1451.60056); translation from Tr. Mat. Inst. Steklova 301, 18--32 (2018) Full Text: DOI arXiv
Volkov, Boris O. Stochastic Lévy differential operators and Yang-Mills equations. (English) Zbl 1393.70045 Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 2, Article ID 1750008, 23 p. (2017). MSC: 70S15 81S25 PDFBibTeX XMLCite \textit{B. O. Volkov}, Infin. Dimens. Anal. Quantum Probab. Relat. Top. 20, No. 2, Article ID 1750008, 23 p. (2017; Zbl 1393.70045) Full Text: DOI arXiv
Volkov, B. O. Lévy d’Alambertians and their application in the quantum theory. (Russian. English summary) Zbl 1413.81036 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 19, No. 2, 241-258 (2015). MSC: 81T13 PDFBibTeX XMLCite \textit{B. O. Volkov}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 19, No. 2, 241--258 (2015; Zbl 1413.81036) Full Text: DOI MNR