Integral geometry and convolution equations. Zbl 1043.53003
Volchkov, V. V. |
|
2003
|
Harmonic analysis of mean periodic functions on symmetric spaces and the Heisenberg group. Zbl 1192.43007
Volchkov, Valery V.; Volchkov, Vitaly V. |
|
2009
|
Offbeat integral geometry on symmetric spaces. Zbl 1277.53002
Volchkov, Valery V.; Volchkov, Vitaly V. |
|
2013
|
Conical uniqueness sets for the spherical Radon transform. Zbl 0935.44001
Agranovsky, M. L.; Volchkov, V. V.; Zalcman, L. A. |
|
1999
|
Solution of the support problem for several function classes. Zbl 0924.53042
Volchkov, V. V. |
|
1997
|
Convolution equations in multidimensional domains and on the reduced Heisenberg group. Zbl 1306.43008
Volchkov, V. V.; Volchkov, Vit. V. |
|
2008
|
A definitive version of the local two-radii theorem. Zbl 0860.43007
Volchkov, V. V. |
|
1995
|
On the problem of mean periodic continuation. Zbl 1197.46021
Volchkov, V. V.; Volchkov, Vit. V. |
|
2009
|
Mean-value theorems for a class of polynomials. Zbl 0869.42010
Volchkov, V. V. |
|
1994
|
On an equality equivalent to the Riemann hypothesis. Zbl 1024.11060
Volchkov, V. V. |
|
1995
|
New theorems on the mean for solutions of the Helmholtz equation. Zbl 0821.35034
Volchkov, V. V. |
|
1993
|
New two-radii theorems in the theory of harmonic functions. Zbl 0834.31004
Volchkov, V. V. |
|
1994
|
A definitive version of the local two-radii theorem on hyperbolic spaces. Zbl 0991.43006
Volchkov, V. V. |
|
2001
|
On a problem of Zalcman and its generalizations. Zbl 0798.30025
Volchkov, V. V. |
|
1993
|
Spherical means on the Euclidean spaces. Zbl 0940.44002
Volchkov, V. V. |
|
1998
|
Spherical means on two-point homogeneous spaces and applications. Zbl 1277.43015
Volchkov, Valerii V.; Volchkov, Vitaly V. |
|
2013
|
Inversion of the local Pompeiu transformation on Riemannian symmetric spaces of rank one. Zbl 1291.43009
Volchkov, Valerii V.; Volchkov, Vitalii V. |
|
2011
|
Behaviour at infinity of solutions of twisted convolution equations. Zbl 1243.43005
Volchkov, Valerii V.; Volchkov, Vitaly V. |
|
2012
|
Local two-radii theorem in symmetric spaces. Zbl 1144.43009
Volchkov, V. V. |
|
2007
|
Injectivity sets for the Radon transform over a sphere. Zbl 0952.44001
Volchkov, V. V. |
|
1999
|
On functions with zero integrals over certain sets. Zbl 0766.26005
Volchkov, V. V. |
|
1990
|
The final version of the mean value theorem for harmonic functions. Zbl 0894.31001
Volchkov, V. V. |
|
1996
|
Spherical means on symmetric spaces. Zbl 0988.43009
Volchkov, V. V. |
|
2002
|
Theorems on ball mean values in symmetric spaces. Zbl 1028.43011
Volchkov, V. V. |
|
2001
|
Spectral analysis on the group of conformal automorphisms of the unit disc. Zbl 1375.43005
Volchkov, Valeriy V.; Volchkov, Vitaly V. |
|
2016
|
Functions with zero integrals over cubes. Zbl 0784.26010
Volchkov, V. V. |
|
1991
|
Continuous extension of functions from a segment to functions in \(\mathbb{R}^n\) with zero ball means. Zbl 1466.42019
Volchkov, V. V.; Volchkov, Vit. V. |
|
2021
|
Convolution equations and the local Pompeiu property on symmetric spaces and on phase space associated to the Heisenberg group. Zbl 1152.43006
Volchkov, V. V.; Volchkov, Vit. V. |
|
2008
|
New mean value theorems for polyanalytic functions. Zbl 0841.30036
Volchkov, V. V. |
|
1994
|
Extremal problems in integral geometry. Zbl 1014.53045
Volchkov, V. V.; Volchkov, Vit. V. |
|
2001
|
Uniqueness theorems for solutions of the convolution equation on symmetric spaces. Zbl 1144.43008
Volchkov, V. V. |
|
2006
|
Two radii theorems on constant curvature spaces. Zbl 0894.43005
Volchkov, V. V. |
|
1996
|
Uniqueness theorems for multiple lacunary trigonometric series. Zbl 0799.42011
Volchkov, V. V. |
|
1992
|
The problems of Pompeiu type on manifolds. Zbl 0888.58072
Volchkov, V. V. |
|
1993
|
Morera type theorems on the unit disc. Zbl 0792.30027
Volchkov, V. V. |
|
1994
|
Local two-radii theorems on the multi-dimensional sphere. Zbl 1294.33017
Volchkov, V. V.; Volchkov, Vit. V. |
|
2014
|
Functions with vanishing integrals over spheres centered on cones. Zbl 1236.44004
Volchkov, V. V.; Volchkov, Vit. V. |
|
2011
|
On a problem of Berenstein-Gay and its generalizations. Zbl 1247.43011
Volchkov, Valeriĭ V.; Volchkov, Vitaliĭ V. |
|
2010
|
Optimization problems related to the John uniqueness theorem. Zbl 1215.46028
Volchkov, V. V.; Volchkov, Vit. V. |
|
2010
|
Injectivity sets of the Pompeiu transform. Zbl 0938.46043
Volchkov, V. V. |
|
1999
|
A local two-radius theorem on symmetric spaces. Zbl 1043.43005
Volchkov, V. V. |
|
2001
|
Approximation of analytic functions by polynomials with integer coefficients. Zbl 0882.41003
Volchkov, V. V. |
|
1996
|
New results in integral geometry. Zbl 1091.53049
Volchkov, V. V.; Volchkov, Vit. V. |
|
2005
|
On the extension problem for solutions of homogeneous convolution equations. Zbl 1251.46018
Volchkov, V. V.; Volchkov, Vit. V. |
|
2011
|
Interpolation problems for functions with zero integrals over balls of fixed radius. Zbl 1490.53089
Volchkov, V. V.; Volchkov, Vit. V. |
|
2020
|
Continuous mean periodic extension of functions from an interval. Zbl 1487.46039
Volchkov, V. V.; Volchkov, Vit. V. |
|
2021
|
Description of the kernel of the generalized Minkowski transform on the sphere. Zbl 1315.53089
Volchkov, V. V.; Volchkov, Vit. V.; Savost’yanova, I. M. |
|
2015
|
The integrals of the Eisenstein type. Zbl 1324.43006
Vasilyanskaya, V. S.; Volchkov, V. V. |
|
2012
|
Theorems of Morera type for generalized analytic functions. Zbl 1324.30095
Volchkov, V. V.; Volchkov, Vit. V. |
|
2012
|
Overdetermined interpolation problems for entire functions of the exponential type. Zbl 1313.30106
Volchkov, V. V.; Volchkov, Vit. V. |
|
2014
|
Sets with the Pompeiu property on the plane and on the sphere. Zbl 1200.32002
Volchkov, V. V.; Volchkov, Vit. V. |
|
2010
|
Overdetermined interpolation problems in the theory of entire functions. Zbl 1249.30116
Volchkov, V. V.; Volchkov, Vit. V. |
|
2008
|
Two-radii theorems for bounded domains in Euclidean spaces. Zbl 0849.31002
Volchkov, V. V. |
|
1994
|
Extremal cases of the Pompeiu problem. Zbl 1056.26501
Volchkov, V. V. |
|
1996
|
Uniqueness theorems for some classes of functions with zero spherical means. Zbl 0956.42019
Volchkov, V. V. |
|
1997
|
On the injectivity of the local Pompeiu transform on the sphere. Zbl 1155.43006
Volchkov, V. V. |
|
2007
|
On exact constants in Jackson-type inequalities in the space \(L^ 2\). Zbl 0888.42001
Volchkov, V. V. |
|
1995
|
Interpolation problems for functions with zero ball means. Zbl 1498.41003
Volchkov, V. V.; Volchkov, Vit. V. |
|
2021
|
Spectral synthesis on the reduced Heisenberg group. Zbl 1519.43004
Volchkov, V. V.; Volchkov, Vit. V. |
|
2023
|
Spectral synthesis on the reduced Heisenberg group. Zbl 1519.43004
Volchkov, V. V.; Volchkov, Vit. V. |
|
2023
|
Continuous extension of functions from a segment to functions in \(\mathbb{R}^n\) with zero ball means. Zbl 1466.42019
Volchkov, V. V.; Volchkov, Vit. V. |
|
2021
|
Continuous mean periodic extension of functions from an interval. Zbl 1487.46039
Volchkov, V. V.; Volchkov, Vit. V. |
|
2021
|
Interpolation problems for functions with zero ball means. Zbl 1498.41003
Volchkov, V. V.; Volchkov, Vit. V. |
|
2021
|
Interpolation problems for functions with zero integrals over balls of fixed radius. Zbl 1490.53089
Volchkov, V. V.; Volchkov, Vit. V. |
|
2020
|
Spectral analysis on the group of conformal automorphisms of the unit disc. Zbl 1375.43005
Volchkov, Valeriy V.; Volchkov, Vitaly V. |
|
2016
|
Description of the kernel of the generalized Minkowski transform on the sphere. Zbl 1315.53089
Volchkov, V. V.; Volchkov, Vit. V.; Savost’yanova, I. M. |
|
2015
|
Local two-radii theorems on the multi-dimensional sphere. Zbl 1294.33017
Volchkov, V. V.; Volchkov, Vit. V. |
|
2014
|
Overdetermined interpolation problems for entire functions of the exponential type. Zbl 1313.30106
Volchkov, V. V.; Volchkov, Vit. V. |
|
2014
|
Offbeat integral geometry on symmetric spaces. Zbl 1277.53002
Volchkov, Valery V.; Volchkov, Vitaly V. |
|
2013
|
Spherical means on two-point homogeneous spaces and applications. Zbl 1277.43015
Volchkov, Valerii V.; Volchkov, Vitaly V. |
|
2013
|
Behaviour at infinity of solutions of twisted convolution equations. Zbl 1243.43005
Volchkov, Valerii V.; Volchkov, Vitaly V. |
|
2012
|
The integrals of the Eisenstein type. Zbl 1324.43006
Vasilyanskaya, V. S.; Volchkov, V. V. |
|
2012
|
Theorems of Morera type for generalized analytic functions. Zbl 1324.30095
Volchkov, V. V.; Volchkov, Vit. V. |
|
2012
|
Inversion of the local Pompeiu transformation on Riemannian symmetric spaces of rank one. Zbl 1291.43009
Volchkov, Valerii V.; Volchkov, Vitalii V. |
|
2011
|
Functions with vanishing integrals over spheres centered on cones. Zbl 1236.44004
Volchkov, V. V.; Volchkov, Vit. V. |
|
2011
|
On the extension problem for solutions of homogeneous convolution equations. Zbl 1251.46018
Volchkov, V. V.; Volchkov, Vit. V. |
|
2011
|
On a problem of Berenstein-Gay and its generalizations. Zbl 1247.43011
Volchkov, Valeriĭ V.; Volchkov, Vitaliĭ V. |
|
2010
|
Optimization problems related to the John uniqueness theorem. Zbl 1215.46028
Volchkov, V. V.; Volchkov, Vit. V. |
|
2010
|
Sets with the Pompeiu property on the plane and on the sphere. Zbl 1200.32002
Volchkov, V. V.; Volchkov, Vit. V. |
|
2010
|
Harmonic analysis of mean periodic functions on symmetric spaces and the Heisenberg group. Zbl 1192.43007
Volchkov, Valery V.; Volchkov, Vitaly V. |
|
2009
|
On the problem of mean periodic continuation. Zbl 1197.46021
Volchkov, V. V.; Volchkov, Vit. V. |
|
2009
|
Convolution equations in multidimensional domains and on the reduced Heisenberg group. Zbl 1306.43008
Volchkov, V. V.; Volchkov, Vit. V. |
|
2008
|
Convolution equations and the local Pompeiu property on symmetric spaces and on phase space associated to the Heisenberg group. Zbl 1152.43006
Volchkov, V. V.; Volchkov, Vit. V. |
|
2008
|
Overdetermined interpolation problems in the theory of entire functions. Zbl 1249.30116
Volchkov, V. V.; Volchkov, Vit. V. |
|
2008
|
Local two-radii theorem in symmetric spaces. Zbl 1144.43009
Volchkov, V. V. |
|
2007
|
On the injectivity of the local Pompeiu transform on the sphere. Zbl 1155.43006
Volchkov, V. V. |
|
2007
|
Uniqueness theorems for solutions of the convolution equation on symmetric spaces. Zbl 1144.43008
Volchkov, V. V. |
|
2006
|
New results in integral geometry. Zbl 1091.53049
Volchkov, V. V.; Volchkov, Vit. V. |
|
2005
|
Integral geometry and convolution equations. Zbl 1043.53003
Volchkov, V. V. |
|
2003
|
Spherical means on symmetric spaces. Zbl 0988.43009
Volchkov, V. V. |
|
2002
|
A definitive version of the local two-radii theorem on hyperbolic spaces. Zbl 0991.43006
Volchkov, V. V. |
|
2001
|
Theorems on ball mean values in symmetric spaces. Zbl 1028.43011
Volchkov, V. V. |
|
2001
|
Extremal problems in integral geometry. Zbl 1014.53045
Volchkov, V. V.; Volchkov, Vit. V. |
|
2001
|
A local two-radius theorem on symmetric spaces. Zbl 1043.43005
Volchkov, V. V. |
|
2001
|
Conical uniqueness sets for the spherical Radon transform. Zbl 0935.44001
Agranovsky, M. L.; Volchkov, V. V.; Zalcman, L. A. |
|
1999
|
Injectivity sets for the Radon transform over a sphere. Zbl 0952.44001
Volchkov, V. V. |
|
1999
|
Injectivity sets of the Pompeiu transform. Zbl 0938.46043
Volchkov, V. V. |
|
1999
|
Spherical means on the Euclidean spaces. Zbl 0940.44002
Volchkov, V. V. |
|
1998
|
Solution of the support problem for several function classes. Zbl 0924.53042
Volchkov, V. V. |
|
1997
|
Uniqueness theorems for some classes of functions with zero spherical means. Zbl 0956.42019
Volchkov, V. V. |
|
1997
|
The final version of the mean value theorem for harmonic functions. Zbl 0894.31001
Volchkov, V. V. |
|
1996
|
Two radii theorems on constant curvature spaces. Zbl 0894.43005
Volchkov, V. V. |
|
1996
|
Approximation of analytic functions by polynomials with integer coefficients. Zbl 0882.41003
Volchkov, V. V. |
|
1996
|
Extremal cases of the Pompeiu problem. Zbl 1056.26501
Volchkov, V. V. |
|
1996
|
A definitive version of the local two-radii theorem. Zbl 0860.43007
Volchkov, V. V. |
|
1995
|
On an equality equivalent to the Riemann hypothesis. Zbl 1024.11060
Volchkov, V. V. |
|
1995
|
On exact constants in Jackson-type inequalities in the space \(L^ 2\). Zbl 0888.42001
Volchkov, V. V. |
|
1995
|
Mean-value theorems for a class of polynomials. Zbl 0869.42010
Volchkov, V. V. |
|
1994
|
New two-radii theorems in the theory of harmonic functions. Zbl 0834.31004
Volchkov, V. V. |
|
1994
|
New mean value theorems for polyanalytic functions. Zbl 0841.30036
Volchkov, V. V. |
|
1994
|
Morera type theorems on the unit disc. Zbl 0792.30027
Volchkov, V. V. |
|
1994
|
Two-radii theorems for bounded domains in Euclidean spaces. Zbl 0849.31002
Volchkov, V. V. |
|
1994
|
New theorems on the mean for solutions of the Helmholtz equation. Zbl 0821.35034
Volchkov, V. V. |
|
1993
|
On a problem of Zalcman and its generalizations. Zbl 0798.30025
Volchkov, V. V. |
|
1993
|
The problems of Pompeiu type on manifolds. Zbl 0888.58072
Volchkov, V. V. |
|
1993
|
Uniqueness theorems for multiple lacunary trigonometric series. Zbl 0799.42011
Volchkov, V. V. |
|
1992
|
Functions with zero integrals over cubes. Zbl 0784.26010
Volchkov, V. V. |
|
1991
|
On functions with zero integrals over certain sets. Zbl 0766.26005
Volchkov, V. V. |
|
1990
|