# zbMATH — the first resource for mathematics

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 Author ID: volchkov.valerii-vladimirovich Published as: Volchkov, V.; Volchkov, V. V.; Volchkov, Valerii V.; Volchkov, Valerii Vladimirovich; Volchkov, Valeriy V.; Volchkov, Valeriĭ V.; Volchkov, Valeriĭ Vladimirovich; Volchkov, Valery V. External Links: MGP · Math-Net.Ru
 Documents Indexed: 96 Publications since 1990, including 3 Books Reviewing Activity: 51 Reviews
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#### Co-Authors

 42 single-authored 49 Volchkov, Vitaliĭ Vladimirovich 3 Savost’yanova, Irina Mikhaĭlovna 1 Agranovsky, Mark L. 1 Savost’yanova, I. N. 1 Zalcman, Lawrence Allen 1 Zaraisky, Daniel A.
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#### Fields

 30 Abstract harmonic analysis (43-XX) 27 Integral transforms, operational calculus (44-XX) 16 Functions of a complex variable (30-XX) 16 Differential geometry (53-XX) 13 Real functions (26-XX) 11 Potential theory (31-XX) 10 Special functions (33-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 6 Integral equations (45-XX) 6 Functional analysis (46-XX) 5 Partial differential equations (35-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Approximations and expansions (41-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 1 Number theory (11-XX) 1 Sequences, series, summability (40-XX) 1 Operator theory (47-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

47 Publications have been cited 273 times in 106 Documents Cited by Year
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
Mean-value theorems for a class of polynomials. Zbl 0869.42010
Volchkov, V. V.
1994
Spherical means on the Euclidean spaces. Zbl 0940.44002
Volchkov, V. V.
1998
A definitive version of the local two-radii theorem. Zbl 0860.43007
Volchkov, V. V.
1995
On a problem of Zalcman and its generalizations. Zbl 0798.30025
Volchkov, V. V.
1993
Behaviour at infinity of solutions of twisted convolution equations. Zbl 1243.43005
Volchkov, Valerii V.; Volchkov, Vitaly V.
2012
Spherical means on symmetric spaces. Zbl 0988.43009
Volchkov, V. V.
2002
Injectivity sets for the Radon transform over a sphere. Zbl 0952.44001
Volchkov, V. V.
1999
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
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 definitive version of the local two-radii theorem on hyperbolic spaces. Zbl 0991.43006
Volchkov, V. V.
2001
Two radii theorems on constant curvature spaces. Zbl 0894.43005
Volchkov, V. V.
1996
The final version of the mean value theorem for harmonic functions. Zbl 0894.31001
Volchkov, V. V.
1996
New mean value theorems for polyanalytic functions. Zbl 0841.30036
Volchkov, V. V.
1994
New two-radii theorems in the theory of harmonic functions. Zbl 0834.31004
Volchkov, V. V.
1994
Morera type theorems on the unit disc. Zbl 0792.30027
Volchkov, V. V.
1994
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
On functions with zero integrals over certain sets. Zbl 0766.26005
Volchkov, V. V.
1990
Spectral analysis on the group of conformal automorphisms of the unit disc. Zbl 1375.43005
Volchkov, Valeriy V.; Volchkov, Vitaly V.
2016
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 the problem of mean periodic continuation. Zbl 1197.46021
Volchkov, V. V.; Volchkov, Vit. V.
2009
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
Local two-radii theorem in symmetric spaces. Zbl 1144.43009
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
A local two-radius theorem on symmetric spaces. Zbl 1043.43005
Volchkov, V. V.
2001
Functions with zero integrals over cubes. Zbl 0784.26010
Volchkov, V. V.
1991
Theorems of Morera type for generalized analytic functions. Zbl 1324.30095
Volchkov, V. V.; Volchkov, Vit. V.
2012
On the extension problem for solutions of homogeneous convolution equations. Zbl 1251.46018
Volchkov, V. V.; Volchkov, Vit. V.
2011
Optimization problems related to the John uniqueness theorem. Zbl 1215.46028
Volchkov, V. V.; Volchkov, Vit. V.
2010
On a problem of Berenstein-Gay and its generalizations. Zbl 1247.43011
Volchkov, Valeriĭ V.; Volchkov, Vitaliĭ V.
2010
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
On the injectivity of the local Pompeiu transform on the sphere. Zbl 1155.43006
Volchkov, V. V.
2007
Injectivity sets of the Pompeiu transform. Zbl 0938.46043
Volchkov, V. V.
1999
Uniqueness theorems for some classes of functions with zero spherical means. Zbl 0956.42019
Volchkov, V. V.
1997
Extremal cases of the Pompeiu problem. Zbl 1056.26501
Volchkov, V. V.
1996
On exact constants in Jackson-type inequalities in the space $$L^ 2$$. Zbl 0888.42001
Volchkov, V. V.
1995
Spectral analysis on the group of conformal automorphisms of the unit disc. Zbl 1375.43005
Volchkov, Valeriy V.; Volchkov, Vitaly V.
2016
Local two-radii theorems on the multi-dimensional sphere. Zbl 1294.33017
Volchkov, V. V.; Volchkov, Vit. V.
2014
Offbeat integral geometry on symmetric spaces. Zbl 1277.53002
Volchkov, Valery V.; Volchkov, Vitaly V.
2013
Behaviour at infinity of solutions of twisted convolution equations. Zbl 1243.43005
Volchkov, Valerii V.; Volchkov, Vitaly V.
2012
Theorems of Morera type for generalized analytic functions. Zbl 1324.30095
Volchkov, V. V.; Volchkov, Vit. V.
2012
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
Optimization problems related to the John uniqueness theorem. Zbl 1215.46028
Volchkov, V. V.; Volchkov, Vit. V.
2010
On a problem of Berenstein-Gay and its generalizations. Zbl 1247.43011
Volchkov, Valeriĭ V.; Volchkov, Vitaliĭ 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
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 definitive version of the local two-radii theorem on hyperbolic spaces. Zbl 0991.43006
Volchkov, V. 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
Two radii theorems on constant curvature spaces. Zbl 0894.43005
Volchkov, V. V.
1996
The final version of the mean value theorem for harmonic functions. Zbl 0894.31001
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 mean value theorems for polyanalytic functions. Zbl 0841.30036
Volchkov, V. V.
1994
New two-radii theorems in the theory of harmonic functions. Zbl 0834.31004
Volchkov, V. V.
1994
Morera type theorems on the unit disc. Zbl 0792.30027
Volchkov, V. V.
1994
On a problem of Zalcman and its generalizations. Zbl 0798.30025
Volchkov, V. V.
1993
New theorems on the mean for solutions of the Helmholtz equation. Zbl 0821.35034
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
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#### Cited by 60 Authors

 39 Volchkov, Vitaliĭ Vladimirovich 35 Volchkov, Valeriĭ Vladimirovich 10 Ochakovskaya, Oksana Aleksandrovna 7 Savost’yanova, Irina Mikhaĭlovna 5 Agranovsky, Mark L. 5 Volchkova, Natal’ya Petrovna 4 Render, Hermann 3 Quinto, Eric Todd 3 Salman, Yehonatan 3 Srivastava, Rajesh Kumar 2 Beltraminelli, Stefano 2 Golberg, Anatoly 2 Kuchment, Peter A. 2 Merlini, Danilo 2 Rawat, Rama 2 Sekatskii, Sergey K. 2 Srivastava, Ravi K. 2 Taheri, Ali 2 Trofymenko, Olga D. 1 Askour, Nour Eddine 1 Awonusika, Richard Olu 1 Balazard, Michel 1 Bond, Stuart 1 Chandrashekar, Praveen 1 Danchenko, Vladimir Il’ich 1 Ghosh, Somnath 1 Globevnik, Josip 1 Intissar, Ahmed 1 Ivanisenko, N. 1 Krasnov, Yakov 1 Krishnan, Venkateswaran P. 1 Kunyansky, Leonid A. 1 Kuznetsov, Nikolai Germanovich 1 Lasuriya, Robert Andreevich 1 Liao, Ming 1 Lundberg, Erik 1 Ma, Chunsheng 1 Malyarenko, Anatoliy A. 1 Méliot, Pierre-Loïc 1 Milgram, Michael S. 1 Minenkova, A. N. 1 Naik, Muna 1 Narayanan, E. K. 1 Nguyen, Linh Viet 1 Peyerimhoff, Norbert 1 Quellmalz, Michael 1 Roy, Souvik 1 Saias, Eric 1 Salimov, Ruslan Radikovich 1 Samanta, Amit 1 Samiou, Evangelia 1 Sarkar, Rudra P. 1 Savost’yanova, I. N. 1 Srivastava, Rajiv Kumar 1 Tovstolis, Alexander V. 1 Vasilyanskaya, V. S. 1 Vasudeva Murthy, A. S. 1 Yor, Marc 1 Zaraisky, Daniel A. 1 Ziyat, Mohammed
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#### Cited in 40 Serials

 12 Mathematical Notes 12 Doklady Mathematics 11 Ukrainian Mathematical Journal 11 Journal of Mathematical Sciences (New York) 4 Journal of Functional Analysis 4 St. Petersburg Mathematical Journal 3 Journal d’Analyse Mathématique 3 Siberian Mathematical Journal 3 Lobachevskii Journal of Mathematics 2 Journal of Mathematical Analysis and Applications 2 Transactions of the American Mathematical Society 2 Russian Mathematics 2 Potential Analysis 2 Sbornik: Mathematics 2 Izvestiya: Mathematics 2 The Journal of Fourier Analysis and Applications 2 Complex Variables and Elliptic Equations 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Analysis and Mathematical Physics 2 Problemy Analiza. Issues of Analysis 1 Inverse Problems 1 Israel Journal of Mathematics 1 Arkiv för Matematik 1 Advances in Mathematics 1 Duke Mathematical Journal 1 Journal of Theoretical Probability 1 European Journal of Applied Mathematics 1 The Journal of Geometric Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Mathematical Imaging and Vision 1 The Journal of Analysis 1 Bulletin des Sciences Mathématiques 1 Electronic Journal of Probability 1 The Ramanujan Journal 1 Computational Methods and Function Theory 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Complex Analysis and Operator Theory 1 International Journal of Analysis 1 Cogent Mathematics 1 Advances in Operator Theory
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#### Cited in 27 Fields

 32 Integral transforms, operational calculus (44-XX) 31 Abstract harmonic analysis (43-XX) 16 Functions of a complex variable (30-XX) 16 Potential theory (31-XX) 16 Differential geometry (53-XX) 12 Real functions (26-XX) 12 Special functions (33-XX) 12 Partial differential equations (35-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 8 Functional analysis (46-XX) 6 Number theory (11-XX) 5 Integral equations (45-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Topological groups, Lie groups (22-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Probability theory and stochastic processes (60-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Numerical analysis (65-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX)