Fazullin, Z. Yu. Trace formula for a bounded perturbation of the Laplace operator on the square. (English. English summary) Zbl 1519.35069 Differ. Equ. 58, No. 12, 1700-1703 (2022); translation from Differ. Uravn. 58, No. 12, 1712-1715 (2022). MSC: 35J05 35J25 PDFBibTeX XMLCite \textit{Z. Yu. Fazullin}, Differ. Equ. 58, No. 12, 1700--1703 (2022; Zbl 1519.35069); translation from Differ. Uravn. 58, No. 12, 1712--1715 (2022) Full Text: DOI
Zaĭnullin, Rifat Gil’metdinovich; Fazullin, Ziganur Yusupovich A boundary value problem for a parabolic-type equation in a non-cylindrical domain. (Russian. English summary) Zbl 07820675 Mat. Zamet. SVFU 27, No. 2, 3-20 (2020). MSC: 35-XX 80-XX PDFBibTeX XMLCite \textit{R. G. Zaĭnullin} and \textit{Z. Y. Fazullin}, Mat. Zamet. SVFU 27, No. 2, 3--20 (2020; Zbl 07820675) Full Text: DOI
Fazullin, Ziganur Yusupovich; Abuzyarova, Natal’ya Fairbakhovna On necessary and sufficient condition in theory of regularized traces. (Russian. English translation) Zbl 1474.47039 Ufim. Mat. Zh. 12, No. 4, 92-100 (2020); translation in Ufa Math. J., No. 4, 90-98 (2020). MSC: 47A55 47B02 47B10 PDFBibTeX XMLCite \textit{Z. Y. Fazullin} and \textit{N. F. Abuzyarova}, Ufim. Mat. Zh. 12, No. 4, 92--100 (2020; Zbl 1474.47039); translation in Ufa Math. J., No. 4, 90--98 (2020) Full Text: DOI MNR
Fazullin, Z. Yu.; Nugaeva, I. G. Spectrum and a trace formula for a compactly supported perturbation of the 2D harmonic oscillator in a strip. (English. Russian original) Zbl 1421.81042 Differ. Equ. 55, No. 5, 677-687 (2019); translation from Differ. Uravn. 55, No. 5, 691-701 (2019). MSC: 81Q10 47B40 35P15 46E35 PDFBibTeX XMLCite \textit{Z. Yu. Fazullin} and \textit{I. G. Nugaeva}, Differ. Equ. 55, No. 5, 677--687 (2019; Zbl 1421.81042); translation from Differ. Uravn. 55, No. 5, 691--701 (2019) Full Text: DOI
Sadovnichy, V. A.; Fazullin, Z. Yu.; Nugaeva, I. G. The spectrum and trace formula for bounded perturbations of differential operators. (English. Russian original) Zbl 1507.47032 Dokl. Math. 98, No. 3, 552-554 (2018); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 1, 19-21 (2018). MSC: 47A55 47A10 47F05 PDFBibTeX XMLCite \textit{V. A. Sadovnichy} et al., Dokl. Math. 98, No. 3, 552--554 (2018; Zbl 1507.47032); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 483, No. 1, 19--21 (2018) Full Text: DOI
Atnagulov, Arsèn Il’gizovich; Sadovnichiĭ, Viktor Antonovich; Fazullin, Ziganur Yusupovich Properties of the resolvent of the Laplace operator on a two-dimensional sphere and a trace formula. (Russian. English summary) Zbl 1463.47134 Ufim. Mat. Zh. 8, No. 3, 22-40 (2016); translation in Ufa Math. J. 8, No. 3, 22-40 (2016). MSC: 47F05 35P05 58J50 47A55 PDFBibTeX XMLCite \textit{A. I. Atnagulov} et al., Ufim. Mat. Zh. 8, No. 3, 22--40 (2016; Zbl 1463.47134); translation in Ufa Math. J. 8, No. 3, 22--40 (2016) Full Text: DOI MNR
Murtazin, Khaĭrulla Khabibullovich; Fazullin, Ziganur Yusupovich Formula of the regularized trace for perturbation in the Schatten-von Neumann of discrete operators. (Russian. English summary) Zbl 1463.47065 Ufim. Mat. Zh. 7, No. 4, 109-115 (2015); translation in Ufa Math. J. 7, No. 4, 104-110 (2015). MSC: 47B10 47B15 47A55 PDFBibTeX XMLCite \textit{K. K. Murtazin} and \textit{Z. Y. Fazullin}, Ufim. Mat. Zh. 7, No. 4, 109--115 (2015; Zbl 1463.47065); translation in Ufa Math. J. 7, No. 4, 104--110 (2015) Full Text: DOI MNR
Sadovnichii, V. A.; Fazullin, Z. Yu.; Atnagulov, A. I. Properties of the resolvent of the Laplace-Beltrami operator on the two-dimensional sphere and a trace formula. (English. Russian original) Zbl 1242.47038 Dokl. Math. 84, No. 3, 799-801 (2011); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 2, 174-176 (2011). Reviewer: Michael Perelmuter (Kyïv) MSC: 47F05 35P20 35P15 47A10 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} et al., Dokl. Math. 84, No. 3, 799--801 (2011; Zbl 1242.47038); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 441, No. 2, 174--176 (2011) Full Text: DOI
Sadovnichii, V. A.; Fazullin, Z. Yu. Asymptotics of the eigenvalues and the formula for the trace of perturbations of the Laplace operator on the sphere \(\mathbb{S}^2\). (English. Russian original) Zbl 1088.47037 Math. Notes 77, No. 3, 400-413 (2005); translation from Mat. Zametki 77, No. 3, 434-448 (2005). Reviewer: Dagmar Medková (Praha) MSC: 47F05 35P15 PDFBibTeX XMLCite \textit{V. A. Sadovnichii} and \textit{Z. Yu. Fazullin}, Math. Notes 77, No. 3, 400--413 (2005; Zbl 1088.47037); translation from Mat. Zametki 77, No. 3, 434--448 (2005) Full Text: DOI