Lyakhov Lev Nikolaevich

Publications in Math-Net.Ru

1. On the representation of the Radon—Kipriyanov transform by the Riesz potential
   
   CMFD, 71:2 (2025),  267–274
2. Kipriyanov–Katrakhov singular pseudodifferential operators
   
   CMFD, 71:2 (2025),  253–266
3. On the energy integrals of a mixed problem for a B-hyperbolic equation
   
   Dokl. RAN. Math. Inf. Proc. Upr., 523 (2025),  59–65
4. Dual Radon—Kipriyanov transformation. Basic properties
   
   CMFD, 70:4 (2024),  643–653
5. On the transformation dual to the Radon–Kipriyanov transformation
   
   Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 232 (2024),  70–77
6. 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
7. Fundamental solution of a singular Bessel differential operator with a negative parameter
   
   Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 7,  52–65
8. Differential and Integral Operations in Hidden Spherical Symmetry and the Dimension of the Koch Curve
   
   Mat. Zametki, 113:4 (2023),  517–528
9. 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
10. 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
11. Partial integral operators of non-negative orders in weighted Lebesgue spaces
    
    Chelyab. Fiz.-Mat. Zh., 6:3 (2021),  289–298
12. 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
13. 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
14. Boundedness of operators with partial integrals with the mixed norm. II
    
    Chelyab. Fiz.-Mat. Zh., 5:3 (2020),  293–305
15. Boundedness of operators with partial integrals with the mixed norm. I
    
    Chelyab. Fiz.-Mat. Zh., 5:1 (2020),  22–31
16. Support theorem for the Radon–Kipriyanov $K_\gamma$-transform
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 171 (2019),  118–124
17. Norms of the Positive Powers of the Bessel Operator in the Spaces of Even Schlömilch j-Polynomials
    
    Mat. Zametki, 106:4 (2019),  549–564
18. The Radon–Kipriyanov Transform of the Generalized Spherical Mean of a Function
    
    Mat. Zametki, 100:1 (2016),  118–132
19. 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
20. Fundamental solutions of singular differential equations with a Bessel $D_B$ operator
    
    Trudy Mat. Inst. Steklova, 278 (2012),  148–160
21. The Space of Weighted Bessel Potentials
    
    Trudy Mat. Inst. Steklova, 250 (2005),  192–197
22. Kipriyanov–Radon Transform
    
    Trudy Mat. Inst. Steklova, 248 (2005),  153–163
23. Solutions of the $B$-polyharmonic equation
    
    Differ. Uravn., 36:10 (2000),  1365–1368
24. Multipliers of the mixed Fourier–Bessel transform
    
    Dokl. Akad. Nauk, 354:4 (1997),  449–451
25. Multipliers of the mixed Fourier–Bessel transform
    
    Trudy Mat. Inst. Steklova, 214 (1997),  234–249
26. On a symbol of an integral operator of $B$-potential type with a single characteristic
    
    Dokl. Akad. Nauk, 351:2 (1996),  164–168
27. $B$-hypersingular integrals with stabilizing characteristics
    
    Dokl. Akad. Nauk, 350:6 (1996),  735–738
28. 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
29. Spaces of Riesz $B$-potentials
    
    Dokl. Akad. Nauk, 334:3 (1994),  278–280
30. Inversion of Riesz $B$-potentials
    
    Dokl. Akad. Nauk SSSR, 321:3 (1991),  466–469
31. A class of hypersingular integrals
    
    Dokl. Akad. Nauk SSSR, 315:2 (1990),  291–296
32. Weighted spherical functions and singular pseudodifferential operators
    
    Differ. Uravn., 21:6 (1985),  1020–1032
33. On a class of spherical functions and singular pseudodifferential operators
    
    Dokl. Akad. Nauk SSSR, 272:4 (1983),  781–784
34. Compactness and pseudocompactness of singular pseudodifferential operators
    
    Differ. Uravn., 19:6 (1983),  1025–1032
35. On a class of pseudodifferential operators
    
    Dokl. Akad. Nauk SSSR, 218:2 (1974),  278–280


36. Ivan Aleksandrovich Kipriyanov [1923–2001]
    
    Differ. Uravn., 37:10 (2001),  1436