Edit Profile (opens in new tab) Bayart, Frédéric Compute Distance To: Compute Author ID: bayart.frederic Published as: Bayart, Frédéric; Bayart, F.; Bayart, Frederic more...less Documents Indexed: 87 Publications since 2001, including 1 Book 2 Contributions as Editor Co-Authors: 50 Co-Authors with 55 Joint Publications 1,010 Co-Co-Authors all top 5 Co-Authors 34 single-authored 8 Matheron, Étienne 6 Grivaux, Sophie 6 Heurteaux, Yanick 4 Pellegrino, Daniel Marinho 4 Queffélec, Hervé 3 Costakis, George 3 Maestre, Manuel 3 Mouze, Augustin 3 Nestoridis, Vassili 3 Seoane-Sepúlveda, Juan Benigno 2 Albuquerque, Nacib Gurgel 2 Brevig, Ole Fredrik 2 Defant, Andreas 2 Gauthier, Paul M. 2 Gorkin, Pamela B. 2 Li, Daniel 2 Mortini, Raymond 2 Seip, Kristian 2 Sevilla-Peris, Pablo 1 Aron, Richard Martin 1 Bermúdez, Teresa 1 Brevig, Ole Frederik 1 Buczolich, Zoltán 1 Castillo-Medina, Jaime 1 Charpentier, Éric 1 Charpentier, Stéphane 1 Costa Júnior, Fernando 1 Darji, Udayan B. 1 Ernst, Romuald 1 Finet, Catherine 1 Frerick, Leonhard 1 García, Domingo 1 Grosse-Erdmann, Karl-Goswin 1 Hadjiloucas, Demetris 1 Haimi, Antti 1 Konyagin, Sergeĭ Vladimirovich 1 Mastyło, Mieczysław 1 Matomäki, Kaisa Sofia 1 Menet, Quentin 1 Ortega-Cerdà, Joaquim 1 Papadimitropoulos, Chris 1 Papathanasiou, Dimitris 1 Perfekt, Karl-Mikael 1 Pires, Benito 1 Quarta, Lucas 1 Rodríguez-Piazza, Luis 1 Rueda, Pilar 1 Ruzsa, Imre Z. 1 Saksmann, Eero 1 Schlüters, Sunke all top 5 Serials 7 Journal of Functional Analysis 5 Proceedings of the American Mathematical Society 4 Israel Journal of Mathematics 4 Advances in Mathematics 3 Journal d’Analyse Mathématique 3 Annales de l’Institut Fourier 3 Mathematische Annalen 3 Proceedings of the London Mathematical Society. Third Series 3 Transactions of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Bulletin of the London Mathematical Society 2 Canadian Mathematical Bulletin 2 Illinois Journal of Mathematics 2 Indiana University Mathematics Journal 2 Mathematische Zeitschrift 2 Journal of Operator Theory 2 Revista Matemática Iberoamericana 2 Revista Matemática Complutense 1 Journal of Mathematical Analysis and Applications 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Nonlinearity 1 Studia Mathematica 1 Arkiv för Matematik 1 Acta Arithmetica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Collectanea Mathematica 1 Commentationes Mathematicae Universitatis Carolinae 1 Fundamenta Mathematicae 1 Glasgow Mathematical Journal 1 Integral Equations and Operator Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Real Analysis Exchange 1 Semigroup Forum 1 Publicacions Matemàtiques 1 IMRN. International Mathematics Research Notices 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Potential Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Journal of the European Mathematical Society (JEMS) 1 The Quarterly Journal of Mathematics 1 Oberwolfach Reports 1 Cambridge Tracts in Mathematics 1 Le Sel et le Fer all top 5 Fields 54 Operator theory (47-XX) 23 Functional analysis (46-XX) 22 Functions of a complex variable (30-XX) 15 Several complex variables and analytic spaces (32-XX) 11 Measure and integration (28-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Number theory (11-XX) 4 Probability theory and stochastic processes (60-XX) 3 Real functions (26-XX) 3 Abstract harmonic analysis (43-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 Sequences, series, summability (40-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 79 Publications have been cited 1,541 times in 879 Documents Cited by ▼ Year ▼ Dynamics of linear operators. Zbl 1187.47001Bayart, Frédéric; Matheron, Étienne 392 2009 Frequently hypercyclic operators. Zbl 1115.47005Bayart, Frédéric; Grivaux, Sophie 134 2006 Abstract theory of universal series and applications. Zbl 1147.30003Bayart, F.; Grosse-Erdmann, K.-G.; Nestoridis, V.; Papadimitropoulos, C. 79 2008 Hardy spaces of Dirichlet series and their composition operators. Zbl 1076.46017Bayart, Frédéric 75 2002 The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\). Zbl 1331.46037Bayart, Frédéric; Pellegrino, Daniel; Seoane-Sepúlveda, Juan B. 67 2014 Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035Bayart, Frédéric; Ruzsa, Imre Z. 54 2015 Invariant Gaussian measures for operators on Banach spaces and linear dynamics. Zbl 1115.47006Bayart, Frédéric; Grivaux, Sophie 42 2007 Hypercyclic operators failing the hypercyclicity criterion on classical Banach spaces. Zbl 1131.47006Bayart, F.; Matheron, É. 39 2007 Hypercyclicity: the role of the unimodular point spectrum. (Hypercyclicité : Le rôle du spectre ponctuel unimodulaire.) Zbl 1059.47006Bayart, Frédéric; Grivaux, Sophie 36 2004 Topological and algebraic genericity of divergence and universality. Zbl 1076.46012Bayart, Frédéric 36 2005 Sharp generalizations of the multilinear Bohnenblust-Hille inequality. Zbl 1319.46035Albuquerque, N.; Bayart, F.; Pellegrino, D.; Seoane-Sepúlveda, J. B. 31 2014 \(m\)-isometries on Banach spaces. Zbl 1230.47018Bayart, Frédéric 30 2011 Hypercyclicity and unimodular point spectrum. Zbl 1089.47008Bayart, Frédéric; Grivaux, Sophie 28 2005 Compact composition operators on a Hilbert space of Dirichlet series. Zbl 1059.47023Bayart, Frédéric 26 2003 Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators. Zbl 1342.26040Albuquerque, N.; Bayart, Frederic; Pellegrino, D.; Seoane-Sepúlveda, J. B. 24 2016 Linearity of sets of strange functions. Zbl 1092.46006Bayart, Frédéric 21 2005 Mixing operators and small subsets of the circle. Zbl 1359.47009Bayart, Frédéric; Matheron, Étienne 21 2016 Algebras in sets of queer functions. Zbl 1138.46017Bayart, Frédéric; Quarta, Lucas 19 2007 Common hypercyclic vectors for composition operators. Zbl 1104.47009Bayart, Frédéric 18 2004 Semigroups of chaotic operators. Zbl 1182.47007Bayart, Frédéric; Bermúdez, Teresa 17 2009 Hyponormal operators, weighted shifts and weak forms of supercyclicity. Zbl 1103.47006Bayart, Frédéric; Matheron, Etienne 17 2006 How to get common universal vectors. Zbl 1126.47007Bayart, F.; Matheron, É. 16 2007 Approximation numbers of composition operators on \(H^p\) spaces of Dirichlet series. (Nombres d’approximation des opérateurs de composition sur les espaces \(H^p\) des séries de Dirichlet.) Zbl 1385.47012Bayart, Frédéric; Queffélec, Hervé; Seip, Kristian 16 2016 Boundary behavior and Cesàro means of universal Taylor series. Zbl 1103.30003Bayart, Frédéric 16 2006 Universal Taylor series on general doubly connected domains. Zbl 1089.30006Bayart, Frédéric 14 2005 Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables. Zbl 1371.46031Bayart, Frédéric; Defant, Andreas; Frerick, Leonhard; Maestre, Manuel; Sevilla-Peris, Pablo 14 2017 Common hypercyclic subspaces. Zbl 1120.47003Bayart, Frédéric 13 2005 Multiple summing maps: coordinatewise summability, inclusion theorems and \(p\)-Sidon sets. Zbl 1391.46057Bayart, Frédéric 13 2018 A class of linear fractional maps of the ball and their composition operators. Zbl 1112.32002Bayart, Frédéric 12 2007 Maximum modulus of random polynomials. Zbl 1248.46033Bayart, Frédéric 12 2012 Bounded universal functions for sequences of holomorphic self-maps of the disk. Zbl 1195.30069Bayart, Frédéric; Gorkin, Pamela; Grivaux, Sophie; Mortini, Raymond 9 2009 Dynamics of holomorphic groups. Zbl 1218.47060Bayart, Frédéric 9 2011 The linear fractional model on the ball. Zbl 1165.32009Bayart, Frédéric 9 2008 Dirichlet approximation and universal Dirichlet series. Zbl 1386.30057Aron, Richard M.; Bayart, Frédéric; Gauthier, Paul M.; Maestre, Manuel; Nestoridis, Vassili 9 2017 Universal radial limits of holomorphic functions. Zbl 1078.32002Bayart, Frédéric 8 2005 Topological transitivity and mixing of composition operators. Zbl 06879545Bayart, Frédéric; Darji, Udayan B.; Pires, Benito 8 2018 Parabolic composition operators on the ball. Zbl 1189.47025Bayart, Frédéric 8 2010 Multifractal spectra of typical and prevalent measures. Zbl 1276.28014Bayart, Frédéric 8 2013 On the Hausdorff dimension of graphs of prevalent continuous functions on compact sets. Zbl 1268.28003Bayart, Frédéric; Heurteaux, Yanick 8 2013 (Non-)weakly mixing operators and hypercyclicity sets. Zbl 1178.47003Bayart, Frédéric; Matheron, Étienne 8 2009 How to get universal inner functions. Zbl 1129.47027Bayart, Frédéric; Gorkin, Pamela 6 2007 Multifractal analysis of the divergence of Fourier series. (Analyse multifractale des points de divergence des séries de Fourier.) Zbl 1278.42003Bayart, Frédéric; Heurteaux, Yanick 6 2012 Similarity to an isometry of a composition operator. Zbl 1055.47020Bayart, Frédéric 6 2003 Convergence almost everywhere and divergence everywhere of Taylor and Dirichlet series. Zbl 1068.42005Bayart, F.; Konyagin, S. V.; Queffélec, H. 6 2004 Hyperbolic composition operators on the ball. Zbl 1269.47023Bayart, F.; Charpentier, S. 6 2013 Multifractal analysis of the divergence of Fourier series: the extreme cases. Zbl 1307.42003Bayart, Frédéric; Heurteaux, Yanick 6 2014 Composition operators on the Wiener-Dirichlet algebra. Zbl 1211.47029Bayart, Frédéric; Finet, Catherine; Li, Daniel; Queffélec, Hervé 6 2008 Common bounded universal functions for composition operators. Zbl 1181.47019Bayart, Frédéric; Grivaux, Sophie; Mortini, Raymond 5 2008 Composition operators on the polydisk induced by affine maps. Zbl 1223.47026Bayart, Frédéric 5 2011 Compact composition operators with nonlinear symbols on the \(H^2\) space of Dirichlet series. Zbl 1481.47037Bayart, Frédéric; Brevig, Ole Frederik 5 2017 Non-existence of frequently hypercyclic subspaces for \(P(D)\). Zbl 1372.47010Bayart, Frédéric; Ernst, Romuald; Menet, Quentin 5 2016 Contractive inequalities for Bergman spaces and multiplicative Hankel forms. Zbl 1417.30049Bayart, Frédéric; Brevig, Ole Fredrik; Haimi, Antti; Ortega-Cerdà, Joaquim; Perfekt, Karl-Mikael 5 2019 Universal Taylor series have a strong form of universality. Zbl 1156.30003Bayart, Frédéric; Nestoridis, Vassili 5 2008 Approximation numbers of composition operators on the Hardy and Bergman spaces of the ball and of the polydisk. Zbl 06903461Bayart, Frédéric; Li, Daniel; Queffélec, Hervé; Rodríguez-Piazza, Luis 4 2018 Epsilon-hypercyclic operators on a Hilbert space. Zbl 1204.47010Bayart, Frédéric 4 2010 The multifractal box dimensions of typical measures. Zbl 1271.28003Bayart, Frédéric 4 2012 Hypercyclic algebras. Zbl 1480.47013Bayart, Frédéric 4 2019 Boundary multifractal behaviour for harmonic functions in the ball. Zbl 1258.31004Bayart, Frédéric; Heurteaux, Yanick 3 2013 Division and composition theorems in the ring of analytic Dirichlet series. (Division et composition dans l’anneau des séries de Dirichlet analytiques.) Zbl 1077.32002Bayart, Frédéric; Mouze, Augustin 3 2003 Porosity and hypercyclic operators. Zbl 1202.47009Bayart, Frédéric 3 2005 Topologically transitive skew-products of operators. Zbl 1191.37008Bayart, Frédéric; Costakis, George; Hadjiloucas, Demetris 3 2010 Interpolation of Hardy spaces of Dirichlet series. Zbl 1426.46014Bayart, Frédéric; Mastyło, Mieczysław 2 2019 New spaces of Dirichlet series and their composition operators. (De nouveaux espaces de séries de Dirichlet et leurs opérateurs de composition.) Zbl 1017.47023Bayart, Frédéric 2 2001 Cyclic operators with finite support. Zbl 1275.47019Bayart, F.; Costakis, G. 2 2013 Universal inner functions on the ball. Zbl 1168.32003Bayart, Frédéric 2 2008 Composition operators and embedding theorems for some function spaces of Dirichlet series. Zbl 07126314Bayart, Frédéric; Brevig, Ole Fredrik 2 2019 How do the typical \(L^q\)-dimensions of measures behave? Zbl 1314.28005Bayart, Frédéric 2 2014 On coincidence results for summing multilinear operators: interpolation, \(\ell_1\)-spaces and cotype. Zbl 1446.46029Bayart, Frédéric; Pellegrino, Daniel; Rueda, Pilar 2 2020 Composition operators on spaces of double Dirichlet series. Zbl 1467.32001Bayart, Frédéric; Castillo-Medina, Jaime; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo 1 2021 Common hypercyclic vectors for high-dimensional families of operators. Zbl 1404.47001Bayart, Frédéric 1 2016 Baire theorem and hypercyclic algebras. Zbl 07282535Bayart, Frédéric; Costa Júnior, Fernando; Papathanasiou, Dimitris 1 2021 The ring of analytic Dirichlet series is factorial. (Factorialité de l’anneau des séries de Dirichlet analytiques.) Zbl 1068.11056Bayart, Frédéric; Mouze, Augustin 1 2003 The product of two Dirichlet series. Zbl 1122.11056Bayart, Frédéric 1 2004 On the irreducibility in the ring of analytic Dirichlet series. (Sur l’irréductibilité dans l’anneau des séries de Dirichlet analytiques.) Zbl 1078.32003Bayart, Frédéric; Mouze, Augustin 1 2005 Weak-closure and polarization constant by Gaussian measure. Zbl 1195.46013Bayart, F. 1 2010 Monomial convergence for holomorphic functions on \(\ell_r\). Zbl 1435.46033Bayart, Frédéric; Defant, Andreas; Schlüters, Sunke 1 2019 Hypercyclic operators and rotated orbits with polynomial phases. Zbl 1310.47009Bayart, F.; Costakis, G. 1 2014 Small sets and hypercyclic vectors. Zbl 1210.47022Bayart, F.; Matheron, É; Moreau, P. 1 2008 Functions universal for all translation operators in several complex variables. Zbl 1441.47004Bayart, Frédéric; Gauthier, Paul M. 1 2017 Composition operators on spaces of double Dirichlet series. Zbl 1467.32001Bayart, Frédéric; Castillo-Medina, Jaime; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo 1 2021 Baire theorem and hypercyclic algebras. Zbl 07282535Bayart, Frédéric; Costa Júnior, Fernando; Papathanasiou, Dimitris 1 2021 On coincidence results for summing multilinear operators: interpolation, \(\ell_1\)-spaces and cotype. Zbl 1446.46029Bayart, Frédéric; Pellegrino, Daniel; Rueda, Pilar 2 2020 Contractive inequalities for Bergman spaces and multiplicative Hankel forms. Zbl 1417.30049Bayart, Frédéric; Brevig, Ole Fredrik; Haimi, Antti; Ortega-Cerdà, Joaquim; Perfekt, Karl-Mikael 5 2019 Hypercyclic algebras. Zbl 1480.47013Bayart, Frédéric 4 2019 Interpolation of Hardy spaces of Dirichlet series. Zbl 1426.46014Bayart, Frédéric; Mastyło, Mieczysław 2 2019 Composition operators and embedding theorems for some function spaces of Dirichlet series. Zbl 07126314Bayart, Frédéric; Brevig, Ole Fredrik 2 2019 Monomial convergence for holomorphic functions on \(\ell_r\). Zbl 1435.46033Bayart, Frédéric; Defant, Andreas; Schlüters, Sunke 1 2019 Multiple summing maps: coordinatewise summability, inclusion theorems and \(p\)-Sidon sets. Zbl 1391.46057Bayart, Frédéric 13 2018 Topological transitivity and mixing of composition operators. Zbl 06879545Bayart, Frédéric; Darji, Udayan B.; Pires, Benito 8 2018 Approximation numbers of composition operators on the Hardy and Bergman spaces of the ball and of the polydisk. Zbl 06903461Bayart, Frédéric; Li, Daniel; Queffélec, Hervé; Rodríguez-Piazza, Luis 4 2018 Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables. Zbl 1371.46031Bayart, Frédéric; Defant, Andreas; Frerick, Leonhard; Maestre, Manuel; Sevilla-Peris, Pablo 14 2017 Dirichlet approximation and universal Dirichlet series. Zbl 1386.30057Aron, Richard M.; Bayart, Frédéric; Gauthier, Paul M.; Maestre, Manuel; Nestoridis, Vassili 9 2017 Compact composition operators with nonlinear symbols on the \(H^2\) space of Dirichlet series. Zbl 1481.47037Bayart, Frédéric; Brevig, Ole Frederik 5 2017 Functions universal for all translation operators in several complex variables. Zbl 1441.47004Bayart, Frédéric; Gauthier, Paul M. 1 2017 Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators. Zbl 1342.26040Albuquerque, N.; Bayart, Frederic; Pellegrino, D.; Seoane-Sepúlveda, J. B. 24 2016 Mixing operators and small subsets of the circle. Zbl 1359.47009Bayart, Frédéric; Matheron, Étienne 21 2016 Approximation numbers of composition operators on \(H^p\) spaces of Dirichlet series. (Nombres d’approximation des opérateurs de composition sur les espaces \(H^p\) des séries de Dirichlet.) Zbl 1385.47012Bayart, Frédéric; Queffélec, Hervé; Seip, Kristian 16 2016 Non-existence of frequently hypercyclic subspaces for \(P(D)\). Zbl 1372.47010Bayart, Frédéric; Ernst, Romuald; Menet, Quentin 5 2016 Common hypercyclic vectors for high-dimensional families of operators. Zbl 1404.47001Bayart, Frédéric 1 2016 Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035Bayart, Frédéric; Ruzsa, Imre Z. 54 2015 The Bohr radius of the \(n\)-dimensional polydisk is equivalent to \(\sqrt{(\log n) / n}\). Zbl 1331.46037Bayart, Frédéric; Pellegrino, Daniel; Seoane-Sepúlveda, Juan B. 67 2014 Sharp generalizations of the multilinear Bohnenblust-Hille inequality. Zbl 1319.46035Albuquerque, N.; Bayart, F.; Pellegrino, D.; Seoane-Sepúlveda, J. B. 31 2014 Multifractal analysis of the divergence of Fourier series: the extreme cases. Zbl 1307.42003Bayart, Frédéric; Heurteaux, Yanick 6 2014 How do the typical \(L^q\)-dimensions of measures behave? Zbl 1314.28005Bayart, Frédéric 2 2014 Hypercyclic operators and rotated orbits with polynomial phases. Zbl 1310.47009Bayart, F.; Costakis, G. 1 2014 Multifractal spectra of typical and prevalent measures. Zbl 1276.28014Bayart, Frédéric 8 2013 On the Hausdorff dimension of graphs of prevalent continuous functions on compact sets. Zbl 1268.28003Bayart, Frédéric; Heurteaux, Yanick 8 2013 Hyperbolic composition operators on the ball. Zbl 1269.47023Bayart, F.; Charpentier, S. 6 2013 Boundary multifractal behaviour for harmonic functions in the ball. Zbl 1258.31004Bayart, Frédéric; Heurteaux, Yanick 3 2013 Cyclic operators with finite support. Zbl 1275.47019Bayart, F.; Costakis, G. 2 2013 Maximum modulus of random polynomials. Zbl 1248.46033Bayart, Frédéric 12 2012 Multifractal analysis of the divergence of Fourier series. (Analyse multifractale des points de divergence des séries de Fourier.) Zbl 1278.42003Bayart, Frédéric; Heurteaux, Yanick 6 2012 The multifractal box dimensions of typical measures. Zbl 1271.28003Bayart, Frédéric 4 2012 \(m\)-isometries on Banach spaces. Zbl 1230.47018Bayart, Frédéric 30 2011 Dynamics of holomorphic groups. Zbl 1218.47060Bayart, Frédéric 9 2011 Composition operators on the polydisk induced by affine maps. Zbl 1223.47026Bayart, Frédéric 5 2011 Parabolic composition operators on the ball. Zbl 1189.47025Bayart, Frédéric 8 2010 Epsilon-hypercyclic operators on a Hilbert space. Zbl 1204.47010Bayart, Frédéric 4 2010 Topologically transitive skew-products of operators. Zbl 1191.37008Bayart, Frédéric; Costakis, George; Hadjiloucas, Demetris 3 2010 Weak-closure and polarization constant by Gaussian measure. Zbl 1195.46013Bayart, F. 1 2010 Dynamics of linear operators. Zbl 1187.47001Bayart, Frédéric; Matheron, Étienne 392 2009 Semigroups of chaotic operators. Zbl 1182.47007Bayart, Frédéric; Bermúdez, Teresa 17 2009 Bounded universal functions for sequences of holomorphic self-maps of the disk. Zbl 1195.30069Bayart, Frédéric; Gorkin, Pamela; Grivaux, Sophie; Mortini, Raymond 9 2009 (Non-)weakly mixing operators and hypercyclicity sets. Zbl 1178.47003Bayart, Frédéric; Matheron, Étienne 8 2009 Abstract theory of universal series and applications. Zbl 1147.30003Bayart, F.; Grosse-Erdmann, K.-G.; Nestoridis, V.; Papadimitropoulos, C. 79 2008 The linear fractional model on the ball. Zbl 1165.32009Bayart, Frédéric 9 2008 Composition operators on the Wiener-Dirichlet algebra. Zbl 1211.47029Bayart, Frédéric; Finet, Catherine; Li, Daniel; Queffélec, Hervé 6 2008 Common bounded universal functions for composition operators. Zbl 1181.47019Bayart, Frédéric; Grivaux, Sophie; Mortini, Raymond 5 2008 Universal Taylor series have a strong form of universality. Zbl 1156.30003Bayart, Frédéric; Nestoridis, Vassili 5 2008 Universal inner functions on the ball. Zbl 1168.32003Bayart, Frédéric 2 2008 Small sets and hypercyclic vectors. Zbl 1210.47022Bayart, F.; Matheron, É; Moreau, P. 1 2008 Invariant Gaussian measures for operators on Banach spaces and linear dynamics. Zbl 1115.47006Bayart, Frédéric; Grivaux, Sophie 42 2007 Hypercyclic operators failing the hypercyclicity criterion on classical Banach spaces. Zbl 1131.47006Bayart, F.; Matheron, É. 39 2007 Algebras in sets of queer functions. Zbl 1138.46017Bayart, Frédéric; Quarta, Lucas 19 2007 How to get common universal vectors. Zbl 1126.47007Bayart, F.; Matheron, É. 16 2007 A class of linear fractional maps of the ball and their composition operators. Zbl 1112.32002Bayart, Frédéric 12 2007 How to get universal inner functions. Zbl 1129.47027Bayart, Frédéric; Gorkin, Pamela 6 2007 Frequently hypercyclic operators. Zbl 1115.47005Bayart, Frédéric; Grivaux, Sophie 134 2006 Hyponormal operators, weighted shifts and weak forms of supercyclicity. Zbl 1103.47006Bayart, Frédéric; Matheron, Etienne 17 2006 Boundary behavior and Cesàro means of universal Taylor series. Zbl 1103.30003Bayart, Frédéric 16 2006 Topological and algebraic genericity of divergence and universality. Zbl 1076.46012Bayart, Frédéric 36 2005 Hypercyclicity and unimodular point spectrum. Zbl 1089.47008Bayart, Frédéric; Grivaux, Sophie 28 2005 Linearity of sets of strange functions. Zbl 1092.46006Bayart, Frédéric 21 2005 Universal Taylor series on general doubly connected domains. Zbl 1089.30006Bayart, Frédéric 14 2005 Common hypercyclic subspaces. Zbl 1120.47003Bayart, Frédéric 13 2005 Universal radial limits of holomorphic functions. Zbl 1078.32002Bayart, Frédéric 8 2005 Porosity and hypercyclic operators. Zbl 1202.47009Bayart, Frédéric 3 2005 On the irreducibility in the ring of analytic Dirichlet series. (Sur l’irréductibilité dans l’anneau des séries de Dirichlet analytiques.) Zbl 1078.32003Bayart, Frédéric; Mouze, Augustin 1 2005 Hypercyclicity: the role of the unimodular point spectrum. (Hypercyclicité : Le rôle du spectre ponctuel unimodulaire.) Zbl 1059.47006Bayart, Frédéric; Grivaux, Sophie 36 2004 Common hypercyclic vectors for composition operators. Zbl 1104.47009Bayart, Frédéric 18 2004 Convergence almost everywhere and divergence everywhere of Taylor and Dirichlet series. Zbl 1068.42005Bayart, F.; Konyagin, S. V.; Queffélec, H. 6 2004 The product of two Dirichlet series. Zbl 1122.11056Bayart, Frédéric 1 2004 Compact composition operators on a Hilbert space of Dirichlet series. Zbl 1059.47023Bayart, Frédéric 26 2003 Similarity to an isometry of a composition operator. Zbl 1055.47020Bayart, Frédéric 6 2003 Division and composition theorems in the ring of analytic Dirichlet series. (Division et composition dans l’anneau des séries de Dirichlet analytiques.) Zbl 1077.32002Bayart, Frédéric; Mouze, Augustin 3 2003 The ring of analytic Dirichlet series is factorial. (Factorialité de l’anneau des séries de Dirichlet analytiques.) Zbl 1068.11056Bayart, Frédéric; Mouze, Augustin 1 2003 Hardy spaces of Dirichlet series and their composition operators. Zbl 1076.46017Bayart, Frédéric 75 2002 New spaces of Dirichlet series and their composition operators. (De nouveaux espaces de séries de Dirichlet et leurs opérateurs de composition.) Zbl 1017.47023Bayart, Frédéric 2 2001 all cited Publications top 5 cited Publications all top 5 Cited by 619 Authors 44 Bayart, Frédéric 36 Pellegrino, Daniel Marinho 33 Bernal-Gonzàlez, Luis 33 Peris, Alfredo 30 Nestoridis, Vassili 26 Defant, Andreas 26 Seoane-Sepúlveda, Juan Benigno 24 Mouze, Augustin 22 Zhou, Zehua 18 Conejero, José Alberto 18 Grivaux, Sophie 17 Kostić, Marko 17 Menet, Quentin 17 Queffélec, Hervé 17 Sevilla-Peris, Pablo 16 Shkarin, Stanislav A. 15 Araújo, Gustavo da Silva 15 Bonilla, Antonio 15 Brevig, Ole Fredrik 15 Muñoz-Fernández, Gustavo Adolfo 14 Bonet Solves, José 14 Charpentier, Stéphane 14 Costakis, George 13 Bès, Juan P. 13 Hedayatian, Karim 13 Núñez-Alarcón, Daniel 13 Seip, Kristian 12 Martínez-Giménez, Félix 12 Yin, Zongbin 11 Serrano-Rodríguez, Diana Marcela 9 Albuquerque, Nacib Gurgel 9 Bernardes, Nilson C. jun. 9 Calderón-Moreno, María del Carmen 9 Liang, Yuxia 9 Maestre, Manuel 9 Murillo-Arcila, Marina 9 Tsirivas, Nikolaos 8 Bermúdez, Teresa 8 Darji, Udayan B. 8 Ernst, Romuald 8 Grosse-Erdmann, Karl-Goswin 8 Gu, Caixing 8 Li, Daniel 8 Martínez-Avendaño, Rubén A. 8 Messaoudi, Ali 7 Bartoszewicz, Artur 7 Chan, Kit Chak 7 Duggal, Bhagwati Prashad 7 Gardiner, Stephen J. 7 He, Shengnan 7 Jiménez-Rodríguez, Pablo 7 Jordá, Enrique 7 Khani Robati, Bahram 7 León-Saavedra, Fernando 7 Mastyło, Mieczysław 7 Meyrath, Thierry 7 Müller, Jürgen 7 Müller, Vladimír 7 Munnier, Vincent 7 Perfekt, Karl-Mikael 7 Rodríguez-Piazza, Luis 7 Santos, Joedson 7 Schoolmann, Ingo 7 Tabatabaie, Seyyed Mohammad 7 Vlachou, Vagia 6 Albanese, Angela Anna 6 Carando, Daniel G. 6 Cavalcante, Wasthenny Vasconcelos 6 Głąb, Szymon 6 Jung, Andreas 6 Marzougui, Habib 6 Muro, Santiago 6 Nogueira, Tony 6 Rezaei, Hamid 6 Rueda, Pilar 6 Saksman, Eero 6 Shu, Yonglu 6 Wu, Xinxing 6 Yousefi, Bahmann 5 Azimi, Mohammad Reza 5 Bamerni, Nareen 5 Beltrán-Meneu, María J. 5 Frerick, Leonhard 5 García, Domingo 5 Gilmore, Clifford 5 Goliński, Michał 5 Manoussos, Antonios 5 Maronikolakis, Konstantinos 5 Martin, Özgur 5 Martinón, Antonio 5 Matheron, Étienne 5 Mengestie, Tesfa Y. 5 Mortini, Raymond 5 Noda, Juan Agustín 5 Papachristodoulos, Christos 5 Prado-Bassas, José Antonio 5 Przestacki, Adam 5 Puig, Yunied 5 Ricker, Werner Joseph 5 Rodenas, Francisco ...and 519 more Authors all top 5 Cited in 182 Serials 122 Journal of Mathematical Analysis and Applications 43 Journal of Functional Analysis 36 Proceedings of the American Mathematical Society 28 Integral Equations and Operator Theory 26 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 22 Complex Analysis and Operator Theory 18 Journal of Approximation Theory 17 Advances in Mathematics 17 Monatshefte für Mathematik 17 Linear Algebra and its Applications 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Complex Variables and Elliptic Equations 15 Archiv der Mathematik 15 Results in Mathematics 15 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 14 Israel Journal of Mathematics 12 Transactions of the American Mathematical Society 12 Ergodic Theory and Dynamical Systems 12 Computational Methods and Function Theory 11 Topology and its Applications 9 Journal d’Analyse Mathématique 9 Abstract and Applied Analysis 9 Revista Matemática Complutense 9 Mediterranean Journal of Mathematics 8 Mathematische Zeitschrift 8 Positivity 7 Linear and Multilinear Algebra 7 Studia Mathematica 7 Collectanea Mathematica 7 Mathematische Annalen 6 Annales de l’Institut Fourier 6 Mathematische Nachrichten 6 Revista Matemática Iberoamericana 6 Indagationes Mathematicae. New Series 6 Operators and Matrices 6 Concrete Operators 5 Canadian Mathematical Bulletin 5 Glasgow Mathematical Journal 5 Rendiconti del Circolo Matemàtico di Palermo. Serie II 5 Constructive Approximation 5 Turkish Journal of Mathematics 5 Filomat 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Banach Journal of Mathematical Analysis 5 Journal of Function Spaces 4 Czechoslovak Mathematical Journal 4 Functiones et Approximatio. Commentarii Mathematici 4 Quaestiones Mathematicae 4 Acta Mathematica Hungarica 4 The Journal of Geometric Analysis 4 Bulletin des Sciences Mathématiques 4 Mathematical Inequalities & Applications 4 Communications of the Korean Mathematical Society 4 Annals of Functional Analysis 4 Open Mathematics 3 Annales Polonici Mathematici 3 Journal of Number Theory 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Semigroup Forum 3 Journal of Difference Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Annales Academiae Scientiarum Fennicae. Mathematica 3 Novi Sad Journal of Mathematics 3 Journal of Inequalities and Applications 3 Electronic Journal of Mathematical Analysis and Applications EJMAA 2 Bulletin of the Australian Mathematical Society 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Demonstratio Mathematica 2 Illinois Journal of Mathematics 2 Indiana University Mathematics Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Journal of Differential Equations 2 Journal of the Korean Mathematical Society 2 Journal of the London Mathematical Society. Second Series 2 Journal für die Reine und Angewandte Mathematik 2 Memoirs of the American Mathematical Society 2 Numerical Functional Analysis and Optimization 2 Bulletin of the Iranian Mathematical Society 2 Science in China. Series A 2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Expositiones Mathematicae 2 Potential Analysis 2 Annales Mathématiques Blaise Pascal 2 The Journal of Fourier Analysis and Applications 2 Analysis (München) 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of Function Spaces and Applications 2 The Australian Journal of Mathematical Analysis and Applications 2 Asian-European Journal of Mathematics 2 Symmetry 2 Carpathian Mathematical Publications 2 Complex Analysis and its Synergies 2 Sahand Communications in Mathematical Analysis 2 Advances in Operator Theory 1 Analysis Mathematica ...and 82 more Serials all top 5 Cited in 39 Fields 593 Operator theory (47-XX) 245 Functions of a complex variable (30-XX) 229 Functional analysis (46-XX) 114 Dynamical systems and ergodic theory (37-XX) 70 Several complex variables and analytic spaces (32-XX) 33 Measure and integration (28-XX) 31 Real functions (26-XX) 30 General topology (54-XX) 29 Approximations and expansions (41-XX) 29 Harmonic analysis on Euclidean spaces (42-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 24 Number theory (11-XX) 23 Potential theory (31-XX) 17 Abstract harmonic analysis (43-XX) 16 Sequences, series, summability (40-XX) 14 Probability theory and stochastic processes (60-XX) 9 Partial differential equations (35-XX) 8 Combinatorics (05-XX) 7 Integral transforms, operational calculus (44-XX) 5 Topological groups, Lie groups (22-XX) 4 Group theory and generalizations (20-XX) 4 Convex and discrete geometry (52-XX) 4 Quantum theory (81-XX) 4 Information and communication theory, circuits (94-XX) 3 Difference and functional equations (39-XX) 2 Mathematical logic and foundations (03-XX) 2 Nonassociative rings and algebras (17-XX) 2 Ordinary differential equations (34-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year