Edit Profile (opens in new tab) Brudnyi, Alexander Co-Author Distance Author ID: brudnyi.alexander Published as: Brudnyi, Alexander; Brudnyi, A.; Brudnyi, A. Yu.; Brudnyi, Alex; Brudnyj, A. Yu.; Brudnyĭ, A. Yu.; Brudnyi, A. Yu; Brudnyĭ, A. more...less Documents Indexed: 135 Publications since 1987, including 2 Books and 13 Additional arXiv Preprints Co-Authors: 11 Co-Authors with 33 Joint Publications 497 Co-Co-Authors all top 5 Co-Authors 102 single-authored 12 Brudnyi, Yuri A. 9 Kinzebulatov, Damir 3 Bos, Len P. 3 Levenberg, Norman jun. 3 Rodman, Leiba X. 3 Spitkovsky, Ilya Matvey 2 Sasane, Amol J. 2 Yomdin, Yosef 1 Onishchik, Arkadiĭ L’vovich 1 Sudarkin, A. V. 1 Totik, Vilmos all top 5 Serials 11 Journal of Functional Analysis 11 Comptes Rendus Mathématiques de l’Académie des Sciences 9 St. Petersburg Mathematical Journal 6 Journal of Approximation Theory 6 Revista Matemática Iberoamericana 5 Integral Equations and Operator Theory 5 Bulletin des Sciences Mathématiques 4 Advances in Mathematics 4 Michigan Mathematical Journal 3 Nonlinearity 3 Indiana University Mathematics Journal 2 Studia Mathematica 2 American Journal of Mathematics 2 Compositio Mathematica 2 Inventiones Mathematicae 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Transactions of the American Mathematical Society 2 Constructive Approximation 2 Annals of Mathematics. Second Series 2 Journal of the Australian Mathematical Society 2 Monographs in Mathematics 2 Analysis and Mathematical Physics 1 Communications in Algebra 1 Israel Journal of Mathematics 1 Russian Mathematical Surveys 1 Arkiv för Matematik 1 Canadian Mathematical Bulletin 1 Dissertationes Mathematicae 1 Journal of Algebra 1 Journal of Differential Equations 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 Geometric and Functional Analysis. GAFA 1 New Zealand Journal of Mathematics 1 Communications in Analysis and Geometry 1 The New York Journal of Mathematics 1 Sbornik: Mathematics 1 The Journal of Fourier Analysis and Applications 1 Revista Matemática Complutense 1 Qualitative Theory of Dynamical Systems 1 Journal of Generalized Lie Theory and Applications 1 Voprosy Teorii Grupp i Gomologicheskoĭ Algebry all top 5 Fields 50 Functional analysis (46-XX) 44 Several complex variables and analytic spaces (32-XX) 39 Functions of a complex variable (30-XX) 16 Ordinary differential equations (34-XX) 13 Real functions (26-XX) 13 Approximations and expansions (41-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Algebraic geometry (14-XX) 7 General topology (54-XX) 6 Group theory and generalizations (20-XX) 6 Operator theory (47-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Commutative algebra (13-XX) 5 Potential theory (31-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 \(K\)-theory (19-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 92 Publications have been cited 515 times in 252 Documents Cited by ▼ Year ▼ Methods of geometric analysis in extension and trace problems. Vol. 1. Zbl 1253.46001 Brudnyi, Alexander; Brudnyi, Yuri 32 2012 Metric spaces with linear extensions preserving Lipschitz condition. Zbl 1162.46042 Brudnyi, Alexander; Brudnyi, Yuri 22 2007 Methods of geometric analysis in extension and trace problems. Vol. 2. Zbl 1252.46001 Brudnyi, Alexander; Brudnyi, Yuri 19 2012 On the center problem for ordinary differential equations. Zbl 1104.34022 Brudnyi, Alexander 18 2006 On local behavior of analytic functions. Zbl 0948.32006 Brudnyi, Alexander 16 1999 Local inequalities for plurisubharmonic functions. Zbl 0927.31001 Brudnyi, Alexander 16 1999 On local behavior of holomorphic functions along complex submanifolds of \(\mathbb C^{N}\). Zbl 1149.32002 Brudnyi, Alexander 16 2008 Sufficient conditions for the projective freeness of Banach algebras. Zbl 1186.46053 Brudnyi, Alexander; Sasane, Amol 15 2009 Topology of the maximal ideal space of \(H^\infty\). Zbl 1010.46054 Brudnyi, Alexander 14 2002 An explicit expression for the first return map in the center problem. Zbl 1066.34026 Brudnyi, Alexander 14 2004 Projections in the space \(H^{\infty}\) and the corona theorem for subdomains of coverings of finite bordered Riemann surfaces. Zbl 1081.46032 Brudnyi, Alexander 12 2004 Banach-valued holomorphic functions on the maximal ideal space of \(H ^{\infty }\). Zbl 1284.30054 Brudnyi, Alexander 12 2013 Local inequalities for multivariate polynomials and plurisubharmonic functions. Zbl 1194.41020 Brudnyi, A.; Brudnyi, Yu. 11 2007 An algebraic model for the center problem. Zbl 1084.34035 Brudnyi, Alexander 11 2004 Grauert- and Lax-Halmos-type theorems and extension of matrices with entries in \(H^{\infty}\). Zbl 1052.32019 Brudnyi, Alexander 10 2004 Representation of holomorphic functions on coverings of pseudoconvex domains in Stein manifolds via integral formulas on these domains. Zbl 1090.32001 Brudnyi, Alexander 10 2006 Tangential Markov inequalities on transcendental curves. Zbl 1041.41010 Bos, L. P.; Brudnyi, A.; Levenberg, N.; Totik, V. 10 2003 On the Banach structure of multivariate BV spaces. Zbl 1445.26012 Brudnyi, Alexander; Brudnyi, Yuri 10 2020 Holomorphic Banach vector bundles on the maximal ideal space of \(H^\infty\) and the operator corona problem of Sz.-Nagy. Zbl 1269.30058 Brudnyi, Alexander 10 2013 On covering numbers of sublevel sets of analytic functions. Zbl 1193.32002 Brudnyi, Alexander 9 2010 Traces of \(C^k\) functions on weak Markov subsets of \(\mathbb R^n\). Zbl 1273.26018 Brudnyĭ, A.; Brudnyĭ, Yu. 8 2012 Holomorphic functions of slow growth on coverings of pseudoconvex domains in Stein manifolds. Zbl 1120.32020 Brudnyi, Alexander 8 2006 Norming sets and related Remez-type inequalities. Zbl 1342.41016 Brudnyi, A.; Yomdin, Y. 8 2016 Tree composition condition and moments vanishing. Zbl 1203.30007 Brudnyi, A.; Yomdin, Y. 8 2010 Remez type inequalities and Morrey-Campanato spaces on Ahlfors regular sets. Zbl 1132.41313 Brudnyi, Alexander; Brudnyi, Yuri 7 2007 On center sets of ODEs determined by moments of their coefficients. Zbl 1102.34019 Brudnyi, Alexander 7 2006 Projective free algebras of continuous functions on compact Abelian groups. Zbl 1204.43001 Brudnyi, Alex; Rodman, Leiba; Spitkovsky, Ilya M. 7 2010 Multivariate bounded variation functions of Jordan-Wiener type. Zbl 1436.26012 Brudnyi, Alexander; Brudnyi, Yuri 7 2020 On polynomial inequalities on exponential curves in \(\mathbb C^{n }\). Zbl 1183.41009 Bos, L. P.; Brudnyi, A.; Levenberg, N. 6 2010 A Bernstein-type inequality for algebraic functions. Zbl 0876.26015 Brudnyi, Alexander 6 1997 On holomorphic functions of slow growth on coverings of strongly pseudoconvex manifolds. Zbl 1234.32003 Brudnyi, Alexander 5 2007 Matrix-valued corona theorem for multiply connected domains. Zbl 1046.46503 Brudnyi, Alexander 5 2000 A uniqueness property for \(H^{\infty}\) on coverings of projective manifolds. Zbl 1049.32028 Brudnyi, Alexander 5 2003 Contractibility of maximal ideal spaces of certain algebras of almost periodic functions. Zbl 1088.42004 Brudnyi, Alexander 5 2005 On the completion problem for algebra \(H^{\infty}\). Zbl 1300.30098 Brudnyi, Alexander 5 2014 Topology of the maximal ideal space of \(H^\infty\) revisited. Zbl 1353.30051 Brudnyi, Alexander 5 2016 On holomorphic \(L^2\) functions on coverings of strongly pseudoconvex manifolds. Zbl 1157.32028 Brudnyi, Alexander 5 2007 Linear and nonlinear extensions of Lipschitz functions from subsets of metric spaces. Zbl 1213.54040 Brudnyi, A.; Brudnyi, Y. 5 2008 Extension of Lipschitz functions defined on metric subspaces of homogeneous type. Zbl 1122.26012 Brudnyi, Alexander; Brudnyi, Yuri 4 2006 Non-denseness of factorable matrix functions. Zbl 1230.47037 Brudnyi, Alex; Rodman, Leiba; Spitkovsky, Ilya M. 4 2011 On the factorization of matrices over commutative Banach algebras. Zbl 06859645 Brudnyi, Alexander 4 2018 Small amplitude limit cycles and the distribution of zeros of families of analytic functions. Zbl 1010.34021 Brudnyi, Alexander 4 2001 Center problem for ODEs with coefficients generating the group of rectangular paths. Zbl 1180.37115 Brudnyi, Alexander 4 2009 Holomorphic \(L^{p}\)-functions on coverings of strongly pseudoconvex manifolds. Zbl 1165.32014 Brudnyi, Alexander 4 2009 Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. I. Zbl 1326.32033 Brudnyi, Alexander; Kinzebulatov, Damir 4 2015 On a BMO-property for subharmonic functions. Zbl 1027.31002 Brudnyi, Alexander 4 2002 Oka principle on the maximal ideal space of \(H^\infty\). Zbl 1467.32013 Brudnyi, A. 4 2020 Classification theorem for a class of flat connections and representations of Kähler groups. Zbl 1082.32013 Brudnyi, Alexander 3 1999 Hartogs type theorems on coverings of Stein manifolds. Zbl 1092.32022 Brudnyi, Alexander 3 2006 Formal paths, iterated integrals and the center problem for ordinary differential equations. Zbl 1159.34024 Brudnyi, Alexander 3 2008 Solvable matrix representations of Kähler groups. Zbl 1047.20026 Brudnyi, Alexander 3 2003 On the bass stable rank of Stein algebras. Zbl 1412.32007 Brudnyi, Alexander 3 2019 On stable rank of \(H^\infty\) on coverings of finite bordered Riemann surfaces. Zbl 1493.30094 Brudnyi, Alexander 3 2022 Extension of matrices with entries in \(H^\infty\) on coverings of Riemann surfaces of finite type. Zbl 1204.30041 Brudnyi, A. 3 2010 Uniform subalgebras of \(L^{\infty }\) on the unit circle generated by almost periodic functions. Zbl 1203.30059 Brudnyi, A.; Kinzebulatov, D. 3 2008 Dense stable rank and Runge-type approximation theorems for \({\boldsymbol H}^{\boldsymbol{\infty}}\) maps. Zbl 1503.30118 Brudnyi, Alexander 3 2022 Projective free algebras of bounded holomorphic functions on infinitely connected domains. Zbl 1518.30020 Brudnyi, A. 3 2022 On homotopy invariants of tensor products of Banach algebras. Zbl 1442.46033 Brudnyi, Alexander 3 2020 Hartogs type theorems for CR \(L^{2}\) functions on coverings of strongly pseudoconvex manifolds. Zbl 1142.32004 Brudnyi, Alexander 2 2008 Holomorphic almost periodic functions on coverings of complex manifolds. Zbl 1231.32004 Brudnyi, A.; Kinzebulatov, D. 2 2011 Holomorphic functions of polynomial growth on abelian coverings of a compact complex manifold. Zbl 0914.58002 Brudnyi, Alexander 2 1998 Bernstein type inequalities for quasipolynomials. Zbl 0998.41004 Brudnyi, Alexander 2 2001 Cyclicity of zeros of families of analytic functions. Zbl 1061.30007 Brudnyi, A. 2 2003 Solvable quotients of Kähler groups. Zbl 1060.32007 Brudnyi, Alexander 2 2003 Corona theorem for \(H^{\infty }\) on covering of Riemann surfaces of finite type. Zbl 1170.46045 Brudnyi, Alexander 2 2008 The moment finiteness problem and characterization of universal centres of ordinary differential equations with analytic coefficients. Zbl 1297.44008 Brudnyi, Alexander 2 2014 Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. II. Zbl 1332.32011 Brudnyi, Alexander; Kinzebulatov, Damir 2 2015 Composition conditions for classes of analytic functions. Zbl 1264.30018 Brudnyi, Alexander 2 2012 Structure of the maximal ideal space of \(H^\infty \) on the countable disjoint union of open disks. Zbl 1482.30134 Brudnyi, A. 2 2021 Holomorphic semi-almost periodic functions. Zbl 1198.30051 Brudnyi, Alexander; Kinzebulatov, Damir 2 2010 Some algebraic aspects of the center problem for ordinary differential equations. Zbl 1202.37111 Brudnyi, Alexander 2 2010 Simultaneous Lipschitz extensions. Zbl 1133.26300 Brudnyi, A. Yu; Brudnyĭ, Yu A. 1 2005 Vanishing of higher-order moments on Lipschitz curves. Zbl 1145.34025 Brudnyi, Alexander 1 2008 Factorization versus invertibility of matrix functions on compact abelian groups. Zbl 1279.47029 Brudnyi, Alex; Rodman, Leiba; Spitkovsky, Ilya M. 1 2012 Cartwright type theorems for a class of plurisubharmonic functions. Zbl 0936.32022 Brudnyi, Alexander 1 1999 Banach-valued holomorphic functions on the maximal ideal space of \(H^\infty\). Zbl 1267.30110 Brudnyi, Alexander 1 2011 Free subgroups of the group of formal power series and the center problem for ODEs. Zbl 1183.37125 Brudnyi, Alexander 1 2009 Grauert and Ramspott type theorems on the maximal ideal space of \(H^\infty\). Zbl 1398.30034 Brudnyi, Alexander 1 2017 A note on the Lipschitz selection. Zbl 1398.46027 Brudnyi, Alexander 1 2018 Holomorphic functions of exponential growth on Abelian coverings of a projective manifold. Zbl 0986.32001 Brudnyi, Alexander 1 2001 Triangular de Rham cohomology of compact Kähler manifolds. Zbl 1015.32021 Brudnyi, A. Yu.; Onishchik, A. L. 1 2001 Inequalities for entire functions. Zbl 1033.32001 Brudnyi, Alexander 1 2001 \(BMO\) functions as harmonic sections of flat bundles on the maximal ideal space of \(H^\infty\). Zbl 1333.30070 Brudnyi, Alexander 1 2015 Differential calculus on topological spaces with weak Markov structure. I. Zbl 1331.26017 Brudnyi, Alexander 1 2015 Universal curves in the center problem for Abel differential equations. Zbl 1361.34039 Brudnyi, Alexander 1 2016 Bernstein type inequalities for restrictions of polynomials to complex submanifolds of \(\mathbb{C}^N\). Zbl 1383.32004 Brudnyi, Alexander 1 2018 A Rolle type theorem for cyclicity of zeros of families of analytic functions. Zbl 1319.30048 Brudnyi, Alexander 1 2015 On the approximation property for Banach spaces predual to \(H^\infty\)-spaces. Zbl 1260.46014 Brudnyi, Alexander 1 2012 On properties of geometric preduals of \({\mathrm C^{k,\omega}}\) spaces. Zbl 1436.46030 Brudnyi, Alexander 1 2019 On algebras of holomorphic functions with semi-almost periodic boundary values. Zbl 1244.30073 Brudnyi, Alexander; Kinzebulatov, Damir 1 2010 \(L^q\) norm inequalities for analytic functions revisited. Zbl 1287.32005 Brudnyi, Alexander 1 2014 On exponential factorizations of matrices over Banach algebras. Zbl 07459399 Brudnyi, Alexander 1 2022 On stable rank of \(H^\infty\) on coverings of finite bordered Riemann surfaces. Zbl 1493.30094 Brudnyi, Alexander 3 2022 Dense stable rank and Runge-type approximation theorems for \({\boldsymbol H}^{\boldsymbol{\infty}}\) maps. Zbl 1503.30118 Brudnyi, Alexander 3 2022 Projective free algebras of bounded holomorphic functions on infinitely connected domains. Zbl 1518.30020 Brudnyi, A. 3 2022 On exponential factorizations of matrices over Banach algebras. Zbl 07459399 Brudnyi, Alexander 1 2022 Structure of the maximal ideal space of \(H^\infty \) on the countable disjoint union of open disks. Zbl 1482.30134 Brudnyi, A. 2 2021 On the Banach structure of multivariate BV spaces. Zbl 1445.26012 Brudnyi, Alexander; Brudnyi, Yuri 10 2020 Multivariate bounded variation functions of Jordan-Wiener type. Zbl 1436.26012 Brudnyi, Alexander; Brudnyi, Yuri 7 2020 Oka principle on the maximal ideal space of \(H^\infty\). Zbl 1467.32013 Brudnyi, A. 4 2020 On homotopy invariants of tensor products of Banach algebras. Zbl 1442.46033 Brudnyi, Alexander 3 2020 On the bass stable rank of Stein algebras. Zbl 1412.32007 Brudnyi, Alexander 3 2019 On properties of geometric preduals of \({\mathrm C^{k,\omega}}\) spaces. Zbl 1436.46030 Brudnyi, Alexander 1 2019 On the factorization of matrices over commutative Banach algebras. Zbl 06859645 Brudnyi, Alexander 4 2018 A note on the Lipschitz selection. Zbl 1398.46027 Brudnyi, Alexander 1 2018 Bernstein type inequalities for restrictions of polynomials to complex submanifolds of \(\mathbb{C}^N\). Zbl 1383.32004 Brudnyi, Alexander 1 2018 Grauert and Ramspott type theorems on the maximal ideal space of \(H^\infty\). Zbl 1398.30034 Brudnyi, Alexander 1 2017 Norming sets and related Remez-type inequalities. Zbl 1342.41016 Brudnyi, A.; Yomdin, Y. 8 2016 Topology of the maximal ideal space of \(H^\infty\) revisited. Zbl 1353.30051 Brudnyi, Alexander 5 2016 Universal curves in the center problem for Abel differential equations. Zbl 1361.34039 Brudnyi, Alexander 1 2016 Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. I. Zbl 1326.32033 Brudnyi, Alexander; Kinzebulatov, Damir 4 2015 Towards Oka-Cartan theory for algebras of holomorphic functions on coverings of Stein manifolds. II. Zbl 1332.32011 Brudnyi, Alexander; Kinzebulatov, Damir 2 2015 \(BMO\) functions as harmonic sections of flat bundles on the maximal ideal space of \(H^\infty\). Zbl 1333.30070 Brudnyi, Alexander 1 2015 Differential calculus on topological spaces with weak Markov structure. I. Zbl 1331.26017 Brudnyi, Alexander 1 2015 A Rolle type theorem for cyclicity of zeros of families of analytic functions. Zbl 1319.30048 Brudnyi, Alexander 1 2015 On the completion problem for algebra \(H^{\infty}\). Zbl 1300.30098 Brudnyi, Alexander 5 2014 The moment finiteness problem and characterization of universal centres of ordinary differential equations with analytic coefficients. Zbl 1297.44008 Brudnyi, Alexander 2 2014 \(L^q\) norm inequalities for analytic functions revisited. Zbl 1287.32005 Brudnyi, Alexander 1 2014 Banach-valued holomorphic functions on the maximal ideal space of \(H ^{\infty }\). Zbl 1284.30054 Brudnyi, Alexander 12 2013 Holomorphic Banach vector bundles on the maximal ideal space of \(H^\infty\) and the operator corona problem of Sz.-Nagy. Zbl 1269.30058 Brudnyi, Alexander 10 2013 Methods of geometric analysis in extension and trace problems. Vol. 1. Zbl 1253.46001 Brudnyi, Alexander; Brudnyi, Yuri 32 2012 Methods of geometric analysis in extension and trace problems. Vol. 2. Zbl 1252.46001 Brudnyi, Alexander; Brudnyi, Yuri 19 2012 Traces of \(C^k\) functions on weak Markov subsets of \(\mathbb R^n\). Zbl 1273.26018 Brudnyĭ, A.; Brudnyĭ, Yu. 8 2012 Composition conditions for classes of analytic functions. Zbl 1264.30018 Brudnyi, Alexander 2 2012 Factorization versus invertibility of matrix functions on compact abelian groups. Zbl 1279.47029 Brudnyi, Alex; Rodman, Leiba; Spitkovsky, Ilya M. 1 2012 On the approximation property for Banach spaces predual to \(H^\infty\)-spaces. Zbl 1260.46014 Brudnyi, Alexander 1 2012 Non-denseness of factorable matrix functions. Zbl 1230.47037 Brudnyi, Alex; Rodman, Leiba; Spitkovsky, Ilya M. 4 2011 Holomorphic almost periodic functions on coverings of complex manifolds. Zbl 1231.32004 Brudnyi, A.; Kinzebulatov, D. 2 2011 Banach-valued holomorphic functions on the maximal ideal space of \(H^\infty\). Zbl 1267.30110 Brudnyi, Alexander 1 2011 On covering numbers of sublevel sets of analytic functions. Zbl 1193.32002 Brudnyi, Alexander 9 2010 Tree composition condition and moments vanishing. Zbl 1203.30007 Brudnyi, A.; Yomdin, Y. 8 2010 Projective free algebras of continuous functions on compact Abelian groups. Zbl 1204.43001 Brudnyi, Alex; Rodman, Leiba; Spitkovsky, Ilya M. 7 2010 On polynomial inequalities on exponential curves in \(\mathbb C^{n }\). Zbl 1183.41009 Bos, L. P.; Brudnyi, A.; Levenberg, N. 6 2010 Extension of matrices with entries in \(H^\infty\) on coverings of Riemann surfaces of finite type. Zbl 1204.30041 Brudnyi, A. 3 2010 Holomorphic semi-almost periodic functions. Zbl 1198.30051 Brudnyi, Alexander; Kinzebulatov, Damir 2 2010 Some algebraic aspects of the center problem for ordinary differential equations. Zbl 1202.37111 Brudnyi, Alexander 2 2010 On algebras of holomorphic functions with semi-almost periodic boundary values. Zbl 1244.30073 Brudnyi, Alexander; Kinzebulatov, Damir 1 2010 Sufficient conditions for the projective freeness of Banach algebras. Zbl 1186.46053 Brudnyi, Alexander; Sasane, Amol 15 2009 Center problem for ODEs with coefficients generating the group of rectangular paths. Zbl 1180.37115 Brudnyi, Alexander 4 2009 Holomorphic \(L^{p}\)-functions on coverings of strongly pseudoconvex manifolds. Zbl 1165.32014 Brudnyi, Alexander 4 2009 Free subgroups of the group of formal power series and the center problem for ODEs. Zbl 1183.37125 Brudnyi, Alexander 1 2009 On local behavior of holomorphic functions along complex submanifolds of \(\mathbb C^{N}\). Zbl 1149.32002 Brudnyi, Alexander 16 2008 Linear and nonlinear extensions of Lipschitz functions from subsets of metric spaces. Zbl 1213.54040 Brudnyi, A.; Brudnyi, Y. 5 2008 Formal paths, iterated integrals and the center problem for ordinary differential equations. Zbl 1159.34024 Brudnyi, Alexander 3 2008 Uniform subalgebras of \(L^{\infty }\) on the unit circle generated by almost periodic functions. Zbl 1203.30059 Brudnyi, A.; Kinzebulatov, D. 3 2008 Hartogs type theorems for CR \(L^{2}\) functions on coverings of strongly pseudoconvex manifolds. Zbl 1142.32004 Brudnyi, Alexander 2 2008 Corona theorem for \(H^{\infty }\) on covering of Riemann surfaces of finite type. Zbl 1170.46045 Brudnyi, Alexander 2 2008 Vanishing of higher-order moments on Lipschitz curves. Zbl 1145.34025 Brudnyi, Alexander 1 2008 Metric spaces with linear extensions preserving Lipschitz condition. Zbl 1162.46042 Brudnyi, Alexander; Brudnyi, Yuri 22 2007 Local inequalities for multivariate polynomials and plurisubharmonic functions. Zbl 1194.41020 Brudnyi, A.; Brudnyi, Yu. 11 2007 Remez type inequalities and Morrey-Campanato spaces on Ahlfors regular sets. Zbl 1132.41313 Brudnyi, Alexander; Brudnyi, Yuri 7 2007 On holomorphic functions of slow growth on coverings of strongly pseudoconvex manifolds. Zbl 1234.32003 Brudnyi, Alexander 5 2007 On holomorphic \(L^2\) functions on coverings of strongly pseudoconvex manifolds. Zbl 1157.32028 Brudnyi, Alexander 5 2007 On the center problem for ordinary differential equations. Zbl 1104.34022 Brudnyi, Alexander 18 2006 Representation of holomorphic functions on coverings of pseudoconvex domains in Stein manifolds via integral formulas on these domains. Zbl 1090.32001 Brudnyi, Alexander 10 2006 Holomorphic functions of slow growth on coverings of pseudoconvex domains in Stein manifolds. Zbl 1120.32020 Brudnyi, Alexander 8 2006 On center sets of ODEs determined by moments of their coefficients. Zbl 1102.34019 Brudnyi, Alexander 7 2006 Extension of Lipschitz functions defined on metric subspaces of homogeneous type. Zbl 1122.26012 Brudnyi, Alexander; Brudnyi, Yuri 4 2006 Hartogs type theorems on coverings of Stein manifolds. Zbl 1092.32022 Brudnyi, Alexander 3 2006 Contractibility of maximal ideal spaces of certain algebras of almost periodic functions. Zbl 1088.42004 Brudnyi, Alexander 5 2005 Simultaneous Lipschitz extensions. Zbl 1133.26300 Brudnyi, A. Yu; Brudnyĭ, Yu A. 1 2005 An explicit expression for the first return map in the center problem. Zbl 1066.34026 Brudnyi, Alexander 14 2004 Projections in the space \(H^{\infty}\) and the corona theorem for subdomains of coverings of finite bordered Riemann surfaces. Zbl 1081.46032 Brudnyi, Alexander 12 2004 An algebraic model for the center problem. Zbl 1084.34035 Brudnyi, Alexander 11 2004 Grauert- and Lax-Halmos-type theorems and extension of matrices with entries in \(H^{\infty}\). Zbl 1052.32019 Brudnyi, Alexander 10 2004 Tangential Markov inequalities on transcendental curves. Zbl 1041.41010 Bos, L. P.; Brudnyi, A.; Levenberg, N.; Totik, V. 10 2003 A uniqueness property for \(H^{\infty}\) on coverings of projective manifolds. Zbl 1049.32028 Brudnyi, Alexander 5 2003 Solvable matrix representations of Kähler groups. Zbl 1047.20026 Brudnyi, Alexander 3 2003 Cyclicity of zeros of families of analytic functions. Zbl 1061.30007 Brudnyi, A. 2 2003 Solvable quotients of Kähler groups. Zbl 1060.32007 Brudnyi, Alexander 2 2003 Topology of the maximal ideal space of \(H^\infty\). Zbl 1010.46054 Brudnyi, Alexander 14 2002 On a BMO-property for subharmonic functions. Zbl 1027.31002 Brudnyi, Alexander 4 2002 Small amplitude limit cycles and the distribution of zeros of families of analytic functions. Zbl 1010.34021 Brudnyi, Alexander 4 2001 Bernstein type inequalities for quasipolynomials. Zbl 0998.41004 Brudnyi, Alexander 2 2001 Holomorphic functions of exponential growth on Abelian coverings of a projective manifold. Zbl 0986.32001 Brudnyi, Alexander 1 2001 Triangular de Rham cohomology of compact Kähler manifolds. Zbl 1015.32021 Brudnyi, A. Yu.; Onishchik, A. L. 1 2001 Inequalities for entire functions. Zbl 1033.32001 Brudnyi, Alexander 1 2001 Matrix-valued corona theorem for multiply connected domains. Zbl 1046.46503 Brudnyi, Alexander 5 2000 On local behavior of analytic functions. Zbl 0948.32006 Brudnyi, Alexander 16 1999 Local inequalities for plurisubharmonic functions. Zbl 0927.31001 Brudnyi, Alexander 16 1999 Classification theorem for a class of flat connections and representations of Kähler groups. Zbl 1082.32013 Brudnyi, Alexander 3 1999 Cartwright type theorems for a class of plurisubharmonic functions. Zbl 0936.32022 Brudnyi, Alexander 1 1999 Holomorphic functions of polynomial growth on abelian coverings of a compact complex manifold. Zbl 0914.58002 Brudnyi, Alexander 2 1998 A Bernstein-type inequality for algebraic functions. Zbl 0876.26015 Brudnyi, Alexander 6 1997 all cited Publications top 5 cited Publications all top 5 Cited by 255 Authors 67 Brudnyi, Alexander 16 Yomdin, Yosef 8 Sasane, Amol J. 7 Brudnyi, Yuri A. 7 Spitkovsky, Ilya Matvey 6 Fefferman, Charles Louis 6 Rodman, Leiba X. 5 Kinzebulatov, Damir 5 Pakovich, Fedor 4 Basso, Giuliano 4 Friedland, Omer 4 Giné, Jaume 4 Kovalev, Leonid V. 4 Naor, Assaf 4 Pierzchała, Rafał 4 Yang, Dachun 3 Azagra, Daniel 3 Doucha, Michal 3 Françoise, Jean-Pierre 3 Ganzburg, Michael Iosifovich 3 Gasull, Armengol 3 Grau, Maite 3 Kanigowski, Adam 3 Kaufmann, Pedro Levit 3 Nour, Chadi 3 Perez, Joe J. 3 Tao, Jin 3 Vinhage, Kurt 3 Wei, Daren 3 Zeidan, Vera Michel 2 Briskin, Miriam 2 Butaev, Almaz 2 Candido, Leandro 2 Cannarsa, Piermarco 2 Chen, Bo-Yong 2 Cheng, Wei 2 Cima, Anna 2 Costin, Rodica D. 2 Cúth, Marek 2 Dafni, Galia 2 Fässler, Katrin S. 2 Ihnatsyeva, Lizaveta 2 Klartag, Bo’az 2 Korte, Riikka 2 Kroó, András 2 Kutzschebauch, Frank 2 Llibre, Jaume 2 Mañosas, Francesc 2 Mudarra, Carlos 2 Petrakis, Iosif 2 Rainer, Armin 2 Roytvarf, Nina 2 Santallusia, Xavier 2 Schiattarella, Roberta 2 Soria, Javier 2 Takala, Timo 2 Tradacete Pérez, Pedro 2 Wang, Kaizhi 2 Yuan, Wen 1 Albiac, Fernando 1 Algaba, Antonio 1 Alves, Alexandre Miranda 1 Alwash, Mohamad Ali M. 1 Ambrosio, Luigi 1 Ansorena, José Luis 1 Antonić, Nenad 1 Avila, Artur 1 Ball, Joseph Anthony 1 Balogh, Zoltán M. 1 Barbieri, Santiago 1 Bastos, Maria Amélia 1 Baues, Oliver 1 Benelkourchi, Slimane 1 Berndtsson, Bo 1 Biswas, Indranil 1 Bos, Len P. 1 Bravo, António 1 Câmara, Maria Cristina 1 Campana, Frédéric 1 Cantat, Serge 1 Cardona, Duván 1 Cerveau, Dominique 1 Chang, Der-Chen E. 1 Cluckers, Raf 1 Colţoiu, Mihnea 1 Coman, Dan 1 Comte, Georges 1 Cortés, Vicente 1 Creutz, Paul 1 Davletyarova, E. P. 1 de Araujo, Anderson Luis Albuquerque 1 De Vito, Giorgio 1 Debrouwere, Andreas 1 Della Sala, Giuseppe 1 Delzant, Thomas 1 Di Donato, Daniela 1 Diao, Peter 1 Dipierro, Serena 1 Dominguez, Oscar 1 Dong, Xingtang ...and 155 more Authors all top 5 Cited in 98 Serials 16 Journal of Functional Analysis 13 Revista Matemática Iberoamericana 10 Journal of Approximation Theory 10 St. Petersburg Mathematical Journal 8 Journal of Mathematical Analysis and Applications 8 Advances in Mathematics 8 Bulletin des Sciences Mathématiques 7 Constructive Approximation 6 Journal of Differential Equations 5 Israel Journal of Mathematics 5 Studia Mathematica 5 Integral Equations and Operator Theory 5 Mathematische Annalen 5 Mathematische Zeitschrift 5 Transactions of the American Mathematical Society 4 Annales de l’Institut Fourier 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 The Journal of Geometric Analysis 4 Analysis and Mathematical Physics 3 Inventiones Mathematicae 3 Journal für die Reine und Angewandte Mathematik 3 Proceedings of the American Mathematical Society 3 Results in Mathematics 3 Ergodic Theory and Dynamical Systems 3 Journal of Dynamics and Differential Equations 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Complex Analysis and Operator Theory 2 Arkiv för Matematik 2 Duke Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Applied and Computational Harmonic Analysis 2 The Journal of Fourier Analysis and Applications 2 Communications in Contemporary Mathematics 2 Qualitative Theory of Dynamical Systems 2 Journal of the Australian Mathematical Society 2 Analysis and Geometry in Metric Spaces 1 Analysis Mathematica 1 Communications in Mathematical Physics 1 Discrete Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Statistical Physics 1 Ukrainian Mathematical Journal 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Dissertationes Mathematicae 1 Fuzzy Sets and Systems 1 Geometriae Dedicata 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Acta Mathematica Hungarica 1 Annals of Global Analysis and Geometry 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 International Journal of Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Differential Geometry and its Applications 1 Geometric and Functional Analysis. GAFA 1 L’Enseignement Mathématique. 2e Série 1 Linear Algebra and its Applications 1 SIAM Journal on Mathematical Analysis 1 Expositiones Mathematicae 1 Mathematical Programming. Series A. Series B 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Potential Analysis 1 SIAM Journal on Scientific Computing 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Logic Quarterly (MLQ) 1 Journal of Convex Analysis 1 Selecta Mathematica. New Series 1 Discrete and Continuous Dynamical Systems 1 Differential Equations and Dynamical Systems 1 Conformal Geometry and Dynamics 1 Geometry & Topology 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Analysis and Applications (Singapore) 1 Complex Variables and Elliptic Equations 1 Journal of Modern Dynamics 1 Logical Methods in Computer Science 1 Advances in Calculus of Variations 1 Journal of \(K\)-Theory 1 Set-Valued and Variational Analysis 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Journal of Fractal Geometry 1 Complex Analysis and its Synergies 1 Bollettino dell’Unione Matematica Italiana 1 Annales Henri Lebesgue 1 Annales Fennici Mathematici all top 5 Cited in 45 Fields 81 Functional analysis (46-XX) 47 Functions of a complex variable (30-XX) 45 Several complex variables and analytic spaces (32-XX) 31 Approximations and expansions (41-XX) 30 Ordinary differential equations (34-XX) 29 Real functions (26-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Operator theory (47-XX) 17 General topology (54-XX) 15 Dynamical systems and ergodic theory (37-XX) 12 Algebraic geometry (14-XX) 11 Measure and integration (28-XX) 11 Partial differential equations (35-XX) 11 Differential geometry (53-XX) 10 Group theory and generalizations (20-XX) 9 Topological groups, Lie groups (22-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 7 Manifolds and cell complexes (57-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Mathematical logic and foundations (03-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Abstract harmonic analysis (43-XX) 6 Convex and discrete geometry (52-XX) 6 Systems theory; control (93-XX) 5 Number theory (11-XX) 5 Potential theory (31-XX) 4 Combinatorics (05-XX) 4 Numerical analysis (65-XX) 3 Commutative algebra (13-XX) 3 Geometry (51-XX) 3 Algebraic topology (55-XX) 3 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Integral transforms, operational calculus (44-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Operations research, mathematical programming (90-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 \(K\)-theory (19-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year