RUS  ENG
Full version
PEOPLE

Volchkov Valerii Vladimirovich

Publications in Math-Net.Ru

  1. Multiple interpolation problem for functions with zero spherical mean

    Izv. Vyssh. Uchebn. Zaved. Mat., 2025, no. 5,  44–57
  2. Uniqueness of solutions of generalized convolution equations on the hyperbolic plane and the group $\mathrm{PSL}(2,\mathbb{R})$

    Izv. RAN. Ser. Mat., 88:6 (2024),  44–81
  3. Interpolation of functions with zero spherical averages obeying growth constraints

    Sibirsk. Mat. Zh., 65:5 (2024),  841–851
  4. Spectral Synthesis on the Reduced Heisenberg Group

    Mat. Zametki, 113:1 (2023),  46–57
  5. Approximation of functions on rays in $\Bbb{R}^n$ by solutions to convolution equations

    Sibirsk. Mat. Zh., 64:1 (2023),  56–64
  6. Tangent approximation by solutions of the convolution equation

    Probl. Anal. Issues Anal., 11(29):3 (2022),  125–142
  7. Continuous mean periodic extension of functions from an interval

    Dokl. RAN. Math. Inf. Proc. Upr., 496 (2021),  21–25
  8. Continuous extension of functions from a segment to functions in $\mathbb{R}^n$ with zero ball means

    Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 3,  3–14
  9. Interpolation problems for functions with zero ball means

    Probl. Anal. Issues Anal., 10(28):3 (2021),  129–140
  10. Interpolation problems for functions with zero integrals over balls of fixed radius

    Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020),  20–23
  11. On the radial symmetry property for harmonic functions

    Izv. Vyssh. Uchebn. Zaved. Mat., 2020, no. 10,  12–23
  12. On the problem of mean periodic extension

    Probl. Anal. Issues Anal., 9(27):2 (2020),  138–151
  13. Analogs of the liouville property for harmonic functions on unbounded domains

    Sibirsk. Mat. Zh., 61:4 (2020),  752–764
  14. Overdetermined Neumann boundary value problem in unbounded domains

    Ufimsk. Mat. Zh., 12:2 (2020),  10–20
  15. Morera-type theorems in the hyperbolic disc

    Izv. RAN. Ser. Mat., 82:1 (2018),  34–64
  16. An Analog of the Brown–Schreiber–Taylor Theorem for Weighted Hyperbolic Shifts

    Mat. Zametki, 103:2 (2018),  172–185
  17. A new characterization of holomorphic functions in the unit disk

    Probl. Anal. Issues Anal., 7(25):1 (2018),  134–147
  18. Spectral synthesis on the group of conformal automorphisms of the unit disc

    Mat. Sb., 209:1 (2018),  3–36
  19. Analogs of the Globevnik Problem on Riemannian Two-Point Homogeneous Spaces

    Mat. Zametki, 101:3 (2017),  359–372
  20. Spectral analysis on the group of conformal automorphisms of the unit disc

    Mat. Sb., 207:7 (2016),  57–80
  21. Ñînical injectivity sets of the Radon transform on spheres

    Algebra i Analiz, 27:5 (2015),  1–31
  22. Description of the kernel of the generalized Minkowski transform on the sphere

    Izv. RAN. Ser. Mat., 79:1 (2015),  43–62
  23. Local two-radii theorems on the multi-dimensional sphere

    Izv. RAN. Ser. Mat., 78:1 (2014),  3–24
  24. Spherical means on two-point homogeneous spaces and applications

    Izv. RAN. Ser. Mat., 77:2 (2013),  3–34
  25. Behaviour at infinity of solutions of twisted convolution equations

    Izv. RAN. Ser. Mat., 76:1 (2012),  85–100
  26. On the extension problem for solutions of homogeneous convolution equations

    Izv. RAN. Ser. Mat., 75:3 (2011),  65–96
  27. On a problem of Berenstein–Gay and its generalizations

    Izv. RAN. Ser. Mat., 74:4 (2010),  33–62
  28. Sets with the Pompeiu Property on the Plane and on the Sphere

    Mat. Zametki, 87:1 (2010),  69–82
  29. Extremal problems related to the John uniqueness theorem

    Algebra i Analiz, 21:5 (2009),  37–69
  30. Convolution equations in many-dimensional domains and on the Heisenberg reduced group

    Mat. Sb., 199:8 (2008),  29–60
  31. Local two-radii theorem in symmetric spaces

    Mat. Sb., 198:11 (2007),  21–46
  32. Uniqueness theorems for solutions of the convolution equation on symmetric spaces

    Izv. RAN. Ser. Mat., 70:6 (2006),  3–18
  33. A local two-radii theorem for quasianalytic classes of functions

    Mat. Zametki, 80:4 (2006),  490–500
  34. A definitive version of the local two-radii theorem on hyperbolic spaces

    Izv. RAN. Ser. Mat., 65:2 (2001),  3–26
  35. Theorems on ball mean values in symmetric spaces

    Mat. Sb., 192:9 (2001),  17–38
  36. Extremal problems on Pompeiu sets. II

    Mat. Sb., 191:5 (2000),  3–16
  37. Injectivity sets for the Radon transform over a sphere

    Izv. RAN. Ser. Mat., 63:3 (1999),  63–76
  38. Injectivity sets of the Pompeiu transform

    Mat. Sb., 190:11 (1999),  51–66
  39. Extremal problems on Pompeiu sets

    Mat. Sb., 189:7 (1998),  3–22
  40. Theorems on the injectivity of the Radon transform on spheres

    Dokl. Akad. Nauk, 354:3 (1997),  298–300
  41. Uniqueness theorems for some classes of functions with zero spherical means

    Mat. Zametki, 62:1 (1997),  59–65
  42. Solution of the support problem for several function classes

    Mat. Sb., 188:9 (1997),  13–30
  43. Two-radii theorems on spaces of constant curvature

    Dokl. Akad. Nauk, 347:3 (1996),  300–302
  44. An extremum problem related to Morera's theorem

    Mat. Zametki, 60:6 (1996),  804–809
  45. Extremal cases of the Pompeiu problem

    Mat. Zametki, 59:5 (1996),  671–680
  46. The final version of the mean value theorem for harmonic functions

    Mat. Zametki, 59:3 (1996),  351–358
  47. A definitive version of the local two-radii theorem

    Mat. Sb., 186:6 (1995),  15–34
  48. Approximation of functions on bounded domains in $R^n$ by linear combinations of shifts

    Dokl. Akad. Nauk, 334:5 (1994),  560–561
  49. Theorems on two radii on bounded domains of Euclidean spaces

    Differ. Uravn., 30:10 (1994),  1719–1724
  50. New two-radii theorems in the theory of harmonic functions

    Izv. RAN. Ser. Mat., 58:1 (1994),  182–194
  51. New mean value theorems for polyanalytic functions

    Mat. Zametki, 56:3 (1994),  20–28
  52. Mean value theorems for a class of polynomials

    Sibirsk. Mat. Zh., 35:4 (1994),  737–745
  53. Morera-type theorems in domains with the weak cone condition

    Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 10,  15–20
  54. On a problem of Zalcman and its generalizations

    Mat. Zametki, 53:2 (1993),  30–36
  55. New theorems on the mean for solutions of the Helmholtz equation

    Mat. Sb., 184:7 (1993),  71–78
  56. Uniqueness theorems for multiple lacunary trigonometric series

    Mat. Zametki, 51:6 (1992),  27–31
  57. Low-density jets beyond a sonic nozzle at large pressure drops

    Prikl. Mekh. Tekh. Fiz., 14:2 (1973),  64–73

  58. On some properties of functions

    Math. Ed., 2022, no. 1(101),  38–47
  59. On some properties of functions characterized by zero integrals

    Math. Ed., 2021, no. 4(100)-2,  38–48

© Steklov Math. Inst. of RAS, 2026