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Lyakhov, Lev Nikolaevich
Statistics Math-Net.Ru
Total publications: 32
Scientific articles: 31
Presentations: 2

Number of views:
This page:3733
Abstract pages:6221
Full texts:2408
References:711
Professor
Doctor of physico-mathematical sciences
E-mail:

https://www.mathnet.ru/eng/person25039
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/198886

Publications in Math-Net.Ru Citations
2024
1. L. N. Lyakhov, V. A. Kalitvin, M. G. Lapshina, “On the transformation dual to the Radon–Kipriyanov transformation”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 232 (2024),  70–77  mathnet
2. L. N. Lyakhov, Yu. N. Bulatov, “Green's formulas for the Kipriyanov $\Delta_B$-operator in the weighted linear form”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 231 (2024),  68–73  mathnet
2023
3. L. N. Lyakhov, Yu. N. Bulatov, S. A. Roshchupkin, E. L. Sanina, “Fundamental solution of a singular Bessel differential operator with a negative parameter”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 7,  52–65  mathnet
4. L. N. Lyakhov, E. Sanina, “Differential and Integral Operations in Hidden Spherical Symmetry and the Dimension of the Koch Curve”, Mat. Zametki, 113:4 (2023),  517–528  mathnet  mathscinet; Math. Notes, 113:4 (2023), 502–511  scopus 4
2022
5. L. N. Lyakhov, N. I. Trusova, “Theorems on iterations of partial integrals in a space with mixed norm”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 204 (2022),  97–103  mathnet
6. L. N. Lyakhov, A. I. Inozemtsev, “Partial integral Fredholm equation in anisotropic classes of Lebesgue functions on $\mathbb{R}_2$”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 204 (2022),  53–65  mathnet
2021
7. L. N. Lyakhov, N. I. Trusova, “Partial integral operators of non-negative orders in weighted Lebesgue spaces”, Chelyab. Fiz.-Mat. Zh., 6:3 (2021),  289–298  mathnet 1
8. L. N. Lyakhov, E. Sanina, “An analog of Bernstein's inequality for fractional $B$-derivatives of Schlemilch $j$-polynomials in weighted function classes”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 198 (2021),  80–88  mathnet
9. L. N. Lyakhov, M. G. Lapshina, “An analog of the Paley–Wiener theorem for the Radon $K_\gamma$-transform for integer $|\gamma|$”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 193 (2021),  104–109  mathnet  elib
2020
10. L. N. Lyakhov, N. I. Trusova, “Boundedness of operators with partial integrals with the mixed norm. II”, Chelyab. Fiz.-Mat. Zh., 5:3 (2020),  293–305  mathnet  elib 1
11. L. N. Lyakhov, N. I. Trusova, “Boundedness of operators with partial integrals with the mixed norm. I”, Chelyab. Fiz.-Mat. Zh., 5:1 (2020),  22–31  mathnet 1
2019
12. L. N. Lyakhov, M. G. Lapshina, S. A. Roshchupkin, “Support theorem for the Radon–Kipriyanov $K_\gamma$-transform”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 171 (2019),  118–124  mathnet
13. L. N. Lyakhov, E. Sanina, “Norms of the Positive Powers of the Bessel Operator in the Spaces of Even Schlömilch j-Polynomials”, Mat. Zametki, 106:4 (2019),  549–564  mathnet  mathscinet  elib; Math. Notes, 106:4 (2019), 577–590  isi  scopus
2016
14. L. N. Lyakhov, “The Radon–Kipriyanov Transform of the Generalized Spherical Mean of a Function”, Mat. Zametki, 100:1 (2016),  118–132  mathnet  mathscinet  elib; Math. Notes, 100:1 (2016), 100–112  isi  scopus 4
2015
15. L. N. Lyakhov, “The construction of Dirichlet and de la Vallée–Poussin–Nikol'skiĭ kernels for j-Bessel Fourier integrals”, Tr. Mosk. Mat. Obs., 76:1 (2015),  67–84  mathnet  elib; Trans. Moscow Math. Soc., 76:1 (2015), 55–69  scopus 9
2012
16. L. N. Lyakhov, “Fundamental solutions of singular differential equations with a Bessel $D_B$ operator”, Trudy Mat. Inst. Steklova, 278 (2012),  148–160  mathnet  mathscinet  elib; Proc. Steklov Inst. Math., 278 (2012), 139–151  isi  elib  scopus 13
2005
17. L. N. Lyakhov, M. V. Polovinkina, “The Space of Weighted Bessel Potentials”, Trudy Mat. Inst. Steklova, 250 (2005),  192–197  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 250 (2005), 178–182 3
18. L. N. Lyakhov, “Kipriyanov–Radon Transform”, Trudy Mat. Inst. Steklova, 248 (2005),  153–163  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 248 (2005), 147–157 6
2000
19. L. N. Lyakhov, A. V. Ryzhkov, “Solutions of the $B$-polyharmonic equation”, Differ. Uravn., 36:10 (2000),  1365–1368  mathnet  mathscinet; Differ. Equ., 36:10 (2000), 1507–1511 4
1997
20. I. A. Kipriyanov, L. N. Lyakhov, “Multipliers of the mixed Fourier–Bessel transform”, Dokl. Akad. Nauk, 354:4 (1997),  449–451  mathnet  mathscinet  zmath
21. L. N. Lyakhov, “Multipliers of the mixed Fourier–Bessel transform”, Trudy Mat. Inst. Steklova, 214 (1997),  234–249  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 214 (1996), 227–242 25
1996
22. L. N. Lyakhov, “On a symbol of an integral operator of $B$-potential type with a single characteristic”, Dokl. Akad. Nauk, 351:2 (1996),  164–168  mathnet  mathscinet  zmath 2
23. L. N. Lyakhov, “$B$-hypersingular integrals with stabilizing characteristics”, Dokl. Akad. Nauk, 350:6 (1996),  735–738  mathnet  mathscinet  zmath
1995
24. L. N. Lyakhov, “Description of the Riesz $B$-potential space $\mathbb{U}^\gamma_\alpha(L^\gamma_p)$ by means of $B$-derivatives of order $2[\alpha/2]$”, Dokl. Akad. Nauk, 341:2 (1995),  161–165  mathnet  mathscinet  zmath 2
1994
25. L. N. Lyakhov, “Spaces of Riesz $B$-potentials”, Dokl. Akad. Nauk, 334:3 (1994),  278–280  mathnet  mathscinet  zmath; Dokl. Math., 49:1 (1994), 83–87 5
1991
26. L. N. Lyakhov, “Inversion of Riesz $B$-potentials”, Dokl. Akad. Nauk SSSR, 321:3 (1991),  466–469  mathnet  mathscinet  zmath; Dokl. Math., 44:3 (1992), 717–720 6
1990
27. L. N. Lyakhov, “A class of hypersingular integrals”, Dokl. Akad. Nauk SSSR, 315:2 (1990),  291–296  mathnet  mathscinet  zmath; Dokl. Math., 42:3 (1991), 765–769 6
1985
28. L. N. Lyakhov, “Weighted spherical functions and singular pseudodifferential operators”, Differ. Uravn., 21:6 (1985),  1020–1032  mathnet  mathscinet 3
1983
29. L. N. Lyakhov, “On a class of spherical functions and singular pseudodifferential operators”, Dokl. Akad. Nauk SSSR, 272:4 (1983),  781–784  mathnet  mathscinet  zmath
30. L. N. Lyakhov, “Compactness and pseudocompactness of singular pseudodifferential operators”, Differ. Uravn., 19:6 (1983),  1025–1032  mathnet  mathscinet
1974
31. I. A. Kipriyanov, L. N. Lyakhov, “On a class of pseudodifferential operators”, Dokl. Akad. Nauk SSSR, 218:2 (1974),  278–280  mathnet  mathscinet  zmath 1
2001
32. V. A. Il'in, L. N. Lyakhov, V. Z. Meshkov, E. I. Moiseev, S. M. Nikol'skii, A. A. Samarskii, “Ivan Aleksandrovich Kipriyanov [1923–2001]”, Differ. Uravn., 37:10 (2001),  1436  mathnet  mathscinet 1

Presentations in Math-Net.Ru
1. Integrated Transformation of Radial Functions
L. N. Lyakhov, S. A. Roschupkin, V. V. Kostik
International Conference on Mathematical Control Theory and Mechanics
July 3, 2015 17:20
2. The ratio of Asgeirsson-Kipriyanov for the general ultra-hyperbolic equations
L. N. Lyakhov, I. P. Polovinkin, E. L. Shishkina
International Conference on Differential Equations and Dynamical Systems
July 5, 2014 12:20

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