## Bayart, Frédéric

Compute Distance To:
 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
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### 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)

### Citations contained in zbMATH Open

79 Publications have been cited 1,541 times in 879 Documents Cited by Year
Dynamics of linear operators. Zbl 1187.47001
Bayart, Frédéric; Matheron, Étienne
2009
Frequently hypercyclic operators. Zbl 1115.47005
Bayart, Frédéric; Grivaux, Sophie
2006
Abstract theory of universal series and applications. Zbl 1147.30003
Bayart, F.; Grosse-Erdmann, K.-G.; Nestoridis, V.; Papadimitropoulos, C.
2008
Hardy spaces of Dirichlet series and their composition operators. Zbl 1076.46017
Bayart, Frédéric
2002
The Bohr radius of the $$n$$-dimensional polydisk is equivalent to $$\sqrt{(\log n) / n}$$. Zbl 1331.46037
Bayart, Frédéric; Pellegrino, Daniel; Seoane-Sepúlveda, Juan B.
2014
Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035
Bayart, Frédéric; Ruzsa, Imre Z.
2015
Invariant Gaussian measures for operators on Banach spaces and linear dynamics. Zbl 1115.47006
Bayart, Frédéric; Grivaux, Sophie
2007
Hypercyclic operators failing the hypercyclicity criterion on classical Banach spaces. Zbl 1131.47006
Bayart, F.; Matheron, É.
2007
Hypercyclicity: the role of the unimodular point spectrum. (Hypercyclicité : Le rôle du spectre ponctuel unimodulaire.) Zbl 1059.47006
Bayart, Frédéric; Grivaux, Sophie
2004
Topological and algebraic genericity of divergence and universality. Zbl 1076.46012
Bayart, Frédéric
2005
Sharp generalizations of the multilinear Bohnenblust-Hille inequality. Zbl 1319.46035
Albuquerque, N.; Bayart, F.; Pellegrino, D.; Seoane-Sepúlveda, J. B.
2014
$$m$$-isometries on Banach spaces. Zbl 1230.47018
Bayart, Frédéric
2011
Hypercyclicity and unimodular point spectrum. Zbl 1089.47008
Bayart, Frédéric; Grivaux, Sophie
2005
Compact composition operators on a Hilbert space of Dirichlet series. Zbl 1059.47023
Bayart, Frédéric
2003
Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators. Zbl 1342.26040
Albuquerque, N.; Bayart, Frederic; Pellegrino, D.; Seoane-Sepúlveda, J. B.
2016
Linearity of sets of strange functions. Zbl 1092.46006
Bayart, Frédéric
2005
Mixing operators and small subsets of the circle. Zbl 1359.47009
Bayart, Frédéric; Matheron, Étienne
2016
Algebras in sets of queer functions. Zbl 1138.46017
Bayart, Frédéric; Quarta, Lucas
2007
Common hypercyclic vectors for composition operators. Zbl 1104.47009
Bayart, Frédéric
2004
Semigroups of chaotic operators. Zbl 1182.47007
Bayart, Frédéric; Bermúdez, Teresa
2009
Hyponormal operators, weighted shifts and weak forms of supercyclicity. Zbl 1103.47006
Bayart, Frédéric; Matheron, Etienne
2006
How to get common universal vectors. Zbl 1126.47007
Bayart, F.; Matheron, É.
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 1385.47012
Bayart, Frédéric; Queffélec, Hervé; Seip, Kristian
2016
Boundary behavior and Cesàro means of universal Taylor series. Zbl 1103.30003
Bayart, Frédéric
2006
Universal Taylor series on general doubly connected domains. Zbl 1089.30006
Bayart, Frédéric
2005
Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables. Zbl 1371.46031
Bayart, Frédéric; Defant, Andreas; Frerick, Leonhard; Maestre, Manuel; Sevilla-Peris, Pablo
2017
Common hypercyclic subspaces. Zbl 1120.47003
Bayart, Frédéric
2005
Multiple summing maps: coordinatewise summability, inclusion theorems and $$p$$-Sidon sets. Zbl 1391.46057
Bayart, Frédéric
2018
A class of linear fractional maps of the ball and their composition operators. Zbl 1112.32002
Bayart, Frédéric
2007
Maximum modulus of random polynomials. Zbl 1248.46033
Bayart, Frédéric
2012
Bounded universal functions for sequences of holomorphic self-maps of the disk. Zbl 1195.30069
Bayart, Frédéric; Gorkin, Pamela; Grivaux, Sophie; Mortini, Raymond
2009
Dynamics of holomorphic groups. Zbl 1218.47060
Bayart, Frédéric
2011
The linear fractional model on the ball. Zbl 1165.32009
Bayart, Frédéric
2008
Dirichlet approximation and universal Dirichlet series. Zbl 1386.30057
Aron, Richard M.; Bayart, Frédéric; Gauthier, Paul M.; Maestre, Manuel; Nestoridis, Vassili
2017
Universal radial limits of holomorphic functions. Zbl 1078.32002
Bayart, Frédéric
2005
Topological transitivity and mixing of composition operators. Zbl 06879545
Bayart, Frédéric; Darji, Udayan B.; Pires, Benito
2018
Parabolic composition operators on the ball. Zbl 1189.47025
Bayart, Frédéric
2010
Multifractal spectra of typical and prevalent measures. Zbl 1276.28014
Bayart, Frédéric
2013
On the Hausdorff dimension of graphs of prevalent continuous functions on compact sets. Zbl 1268.28003
Bayart, Frédéric; Heurteaux, Yanick
2013
(Non-)weakly mixing operators and hypercyclicity sets. Zbl 1178.47003
Bayart, Frédéric; Matheron, Étienne
2009
How to get universal inner functions. Zbl 1129.47027
Bayart, Frédéric; Gorkin, Pamela
2007
Multifractal analysis of the divergence of Fourier series. (Analyse multifractale des points de divergence des séries de Fourier.) Zbl 1278.42003
Bayart, Frédéric; Heurteaux, Yanick
2012
Similarity to an isometry of a composition operator. Zbl 1055.47020
Bayart, Frédéric
2003
Convergence almost everywhere and divergence everywhere of Taylor and Dirichlet series. Zbl 1068.42005
Bayart, F.; Konyagin, S. V.; Queffélec, H.
2004
Hyperbolic composition operators on the ball. Zbl 1269.47023
Bayart, F.; Charpentier, S.
2013
Multifractal analysis of the divergence of Fourier series: the extreme cases. Zbl 1307.42003
Bayart, Frédéric; Heurteaux, Yanick
2014
Composition operators on the Wiener-Dirichlet algebra. Zbl 1211.47029
Bayart, Frédéric; Finet, Catherine; Li, Daniel; Queffélec, Hervé
2008
Common bounded universal functions for composition operators. Zbl 1181.47019
Bayart, Frédéric; Grivaux, Sophie; Mortini, Raymond
2008
Composition operators on the polydisk induced by affine maps. Zbl 1223.47026
Bayart, Frédéric
2011
Compact composition operators with nonlinear symbols on the $$H^2$$ space of Dirichlet series. Zbl 1481.47037
Bayart, Frédéric; Brevig, Ole Frederik
2017
Non-existence of frequently hypercyclic subspaces for $$P(D)$$. Zbl 1372.47010
Bayart, Frédéric; Ernst, Romuald; Menet, Quentin
2016
Contractive inequalities for Bergman spaces and multiplicative Hankel forms. Zbl 1417.30049
Bayart, Frédéric; Brevig, Ole Fredrik; Haimi, Antti; Ortega-Cerdà, Joaquim; Perfekt, Karl-Mikael
2019
Universal Taylor series have a strong form of universality. Zbl 1156.30003
Bayart, Frédéric; Nestoridis, Vassili
2008
Approximation numbers of composition operators on the Hardy and Bergman spaces of the ball and of the polydisk. Zbl 06903461
Bayart, Frédéric; Li, Daniel; Queffélec, Hervé; Rodríguez-Piazza, Luis
2018
Epsilon-hypercyclic operators on a Hilbert space. Zbl 1204.47010
Bayart, Frédéric
2010
The multifractal box dimensions of typical measures. Zbl 1271.28003
Bayart, Frédéric
2012
Hypercyclic algebras. Zbl 1480.47013
Bayart, Frédéric
2019
Boundary multifractal behaviour for harmonic functions in the ball. Zbl 1258.31004
Bayart, Frédéric; Heurteaux, Yanick
2013
Division and composition theorems in the ring of analytic Dirichlet series. (Division et composition dans l’anneau des séries de Dirichlet analytiques.) Zbl 1077.32002
Bayart, Frédéric; Mouze, Augustin
2003
Porosity and hypercyclic operators. Zbl 1202.47009
Bayart, Frédéric
2005
Topologically transitive skew-products of operators. Zbl 1191.37008
Bayart, Frédéric; Costakis, George; Hadjiloucas, Demetris
2010
Interpolation of Hardy spaces of Dirichlet series. Zbl 1426.46014
Bayart, Frédéric; Mastyło, Mieczysław
2019
New spaces of Dirichlet series and their composition operators. (De nouveaux espaces de séries de Dirichlet et leurs opérateurs de composition.) Zbl 1017.47023
Bayart, Frédéric
2001
Cyclic operators with finite support. Zbl 1275.47019
Bayart, F.; Costakis, G.
2013
Universal inner functions on the ball. Zbl 1168.32003
Bayart, Frédéric
2008
Composition operators and embedding theorems for some function spaces of Dirichlet series. Zbl 07126314
Bayart, Frédéric; Brevig, Ole Fredrik
2019
How do the typical $$L^q$$-dimensions of measures behave? Zbl 1314.28005
Bayart, Frédéric
2014
On coincidence results for summing multilinear operators: interpolation, $$\ell_1$$-spaces and cotype. Zbl 1446.46029
Bayart, Frédéric; Pellegrino, Daniel; Rueda, Pilar
2020
Composition operators on spaces of double Dirichlet series. Zbl 1467.32001
Bayart, Frédéric; Castillo-Medina, Jaime; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo
2021
Common hypercyclic vectors for high-dimensional families of operators. Zbl 1404.47001
Bayart, Frédéric
2016
Baire theorem and hypercyclic algebras. Zbl 07282535
Bayart, Frédéric; Costa Júnior, Fernando; Papathanasiou, Dimitris
2021
The ring of analytic Dirichlet series is factorial. (Factorialité de l’anneau des séries de Dirichlet analytiques.) Zbl 1068.11056
Bayart, Frédéric; Mouze, Augustin
2003
The product of two Dirichlet series. Zbl 1122.11056
Bayart, Frédéric
2004
On the irreducibility in the ring of analytic Dirichlet series. (Sur l’irréductibilité dans l’anneau des séries de Dirichlet analytiques.) Zbl 1078.32003
Bayart, Frédéric; Mouze, Augustin
2005
Weak-closure and polarization constant by Gaussian measure. Zbl 1195.46013
Bayart, F.
2010
Monomial convergence for holomorphic functions on $$\ell_r$$. Zbl 1435.46033
Bayart, Frédéric; Defant, Andreas; Schlüters, Sunke
2019
Hypercyclic operators and rotated orbits with polynomial phases. Zbl 1310.47009
Bayart, F.; Costakis, G.
2014
Small sets and hypercyclic vectors. Zbl 1210.47022
Bayart, F.; Matheron, É; Moreau, P.
2008
Functions universal for all translation operators in several complex variables. Zbl 1441.47004
Bayart, Frédéric; Gauthier, Paul M.
2017
Composition operators on spaces of double Dirichlet series. Zbl 1467.32001
Bayart, Frédéric; Castillo-Medina, Jaime; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo
2021
Baire theorem and hypercyclic algebras. Zbl 07282535
Bayart, Frédéric; Costa Júnior, Fernando; Papathanasiou, Dimitris
2021
On coincidence results for summing multilinear operators: interpolation, $$\ell_1$$-spaces and cotype. Zbl 1446.46029
Bayart, Frédéric; Pellegrino, Daniel; Rueda, Pilar
2020
Contractive inequalities for Bergman spaces and multiplicative Hankel forms. Zbl 1417.30049
Bayart, Frédéric; Brevig, Ole Fredrik; Haimi, Antti; Ortega-Cerdà, Joaquim; Perfekt, Karl-Mikael
2019
Hypercyclic algebras. Zbl 1480.47013
Bayart, Frédéric
2019
Interpolation of Hardy spaces of Dirichlet series. Zbl 1426.46014
Bayart, Frédéric; Mastyło, Mieczysław
2019
Composition operators and embedding theorems for some function spaces of Dirichlet series. Zbl 07126314
Bayart, Frédéric; Brevig, Ole Fredrik
2019
Monomial convergence for holomorphic functions on $$\ell_r$$. Zbl 1435.46033
Bayart, Frédéric; Defant, Andreas; Schlüters, Sunke
2019
Multiple summing maps: coordinatewise summability, inclusion theorems and $$p$$-Sidon sets. Zbl 1391.46057
Bayart, Frédéric
2018
Topological transitivity and mixing of composition operators. Zbl 06879545
Bayart, Frédéric; Darji, Udayan B.; Pires, Benito
2018
Approximation numbers of composition operators on the Hardy and Bergman spaces of the ball and of the polydisk. Zbl 06903461
Bayart, Frédéric; Li, Daniel; Queffélec, Hervé; Rodríguez-Piazza, Luis
2018
Multipliers of Dirichlet series and monomial series expansions of holomorphic functions in infinitely many variables. Zbl 1371.46031
Bayart, Frédéric; Defant, Andreas; Frerick, Leonhard; Maestre, Manuel; Sevilla-Peris, Pablo
2017
Dirichlet approximation and universal Dirichlet series. Zbl 1386.30057
Aron, Richard M.; Bayart, Frédéric; Gauthier, Paul M.; Maestre, Manuel; Nestoridis, Vassili
2017
Compact composition operators with nonlinear symbols on the $$H^2$$ space of Dirichlet series. Zbl 1481.47037
Bayart, Frédéric; Brevig, Ole Frederik
2017
Functions universal for all translation operators in several complex variables. Zbl 1441.47004
Bayart, Frédéric; Gauthier, Paul M.
2017
Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators. Zbl 1342.26040
Albuquerque, N.; Bayart, Frederic; Pellegrino, D.; Seoane-Sepúlveda, J. B.
2016
Mixing operators and small subsets of the circle. Zbl 1359.47009
Bayart, Frédéric; Matheron, Étienne
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 1385.47012
Bayart, Frédéric; Queffélec, Hervé; Seip, Kristian
2016
Non-existence of frequently hypercyclic subspaces for $$P(D)$$. Zbl 1372.47010
Bayart, Frédéric; Ernst, Romuald; Menet, Quentin
2016
Common hypercyclic vectors for high-dimensional families of operators. Zbl 1404.47001
Bayart, Frédéric
2016
Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035
Bayart, Frédéric; Ruzsa, Imre Z.
2015
The Bohr radius of the $$n$$-dimensional polydisk is equivalent to $$\sqrt{(\log n) / n}$$. Zbl 1331.46037
Bayart, Frédéric; Pellegrino, Daniel; Seoane-Sepúlveda, Juan B.
2014
Sharp generalizations of the multilinear Bohnenblust-Hille inequality. Zbl 1319.46035
Albuquerque, N.; Bayart, F.; Pellegrino, D.; Seoane-Sepúlveda, J. B.
2014
Multifractal analysis of the divergence of Fourier series: the extreme cases. Zbl 1307.42003
Bayart, Frédéric; Heurteaux, Yanick
2014
How do the typical $$L^q$$-dimensions of measures behave? Zbl 1314.28005
Bayart, Frédéric
2014
Hypercyclic operators and rotated orbits with polynomial phases. Zbl 1310.47009
Bayart, F.; Costakis, G.
2014
Multifractal spectra of typical and prevalent measures. Zbl 1276.28014
Bayart, Frédéric
2013
On the Hausdorff dimension of graphs of prevalent continuous functions on compact sets. Zbl 1268.28003
Bayart, Frédéric; Heurteaux, Yanick
2013
Hyperbolic composition operators on the ball. Zbl 1269.47023
Bayart, F.; Charpentier, S.
2013
Boundary multifractal behaviour for harmonic functions in the ball. Zbl 1258.31004
Bayart, Frédéric; Heurteaux, Yanick
2013
Cyclic operators with finite support. Zbl 1275.47019
Bayart, F.; Costakis, G.
2013
Maximum modulus of random polynomials. Zbl 1248.46033
Bayart, Frédéric
2012
Multifractal analysis of the divergence of Fourier series. (Analyse multifractale des points de divergence des séries de Fourier.) Zbl 1278.42003
Bayart, Frédéric; Heurteaux, Yanick
2012
The multifractal box dimensions of typical measures. Zbl 1271.28003
Bayart, Frédéric
2012
$$m$$-isometries on Banach spaces. Zbl 1230.47018
Bayart, Frédéric
2011
Dynamics of holomorphic groups. Zbl 1218.47060
Bayart, Frédéric
2011
Composition operators on the polydisk induced by affine maps. Zbl 1223.47026
Bayart, Frédéric
2011
Parabolic composition operators on the ball. Zbl 1189.47025
Bayart, Frédéric
2010
Epsilon-hypercyclic operators on a Hilbert space. Zbl 1204.47010
Bayart, Frédéric
2010
Topologically transitive skew-products of operators. Zbl 1191.37008
Bayart, Frédéric; Costakis, George; Hadjiloucas, Demetris
2010
Weak-closure and polarization constant by Gaussian measure. Zbl 1195.46013
Bayart, F.
2010
Dynamics of linear operators. Zbl 1187.47001
Bayart, Frédéric; Matheron, Étienne
2009
Semigroups of chaotic operators. Zbl 1182.47007
Bayart, Frédéric; Bermúdez, Teresa
2009
Bounded universal functions for sequences of holomorphic self-maps of the disk. Zbl 1195.30069
Bayart, Frédéric; Gorkin, Pamela; Grivaux, Sophie; Mortini, Raymond
2009
(Non-)weakly mixing operators and hypercyclicity sets. Zbl 1178.47003
Bayart, Frédéric; Matheron, Étienne
2009
Abstract theory of universal series and applications. Zbl 1147.30003
Bayart, F.; Grosse-Erdmann, K.-G.; Nestoridis, V.; Papadimitropoulos, C.
2008
The linear fractional model on the ball. Zbl 1165.32009
Bayart, Frédéric
2008
Composition operators on the Wiener-Dirichlet algebra. Zbl 1211.47029
Bayart, Frédéric; Finet, Catherine; Li, Daniel; Queffélec, Hervé
2008
Common bounded universal functions for composition operators. Zbl 1181.47019
Bayart, Frédéric; Grivaux, Sophie; Mortini, Raymond
2008
Universal Taylor series have a strong form of universality. Zbl 1156.30003
Bayart, Frédéric; Nestoridis, Vassili
2008
Universal inner functions on the ball. Zbl 1168.32003
Bayart, Frédéric
2008
Small sets and hypercyclic vectors. Zbl 1210.47022
Bayart, F.; Matheron, É; Moreau, P.
2008
Invariant Gaussian measures for operators on Banach spaces and linear dynamics. Zbl 1115.47006
Bayart, Frédéric; Grivaux, Sophie
2007
Hypercyclic operators failing the hypercyclicity criterion on classical Banach spaces. Zbl 1131.47006
Bayart, F.; Matheron, É.
2007
Algebras in sets of queer functions. Zbl 1138.46017
Bayart, Frédéric; Quarta, Lucas
2007
How to get common universal vectors. Zbl 1126.47007
Bayart, F.; Matheron, É.
2007
A class of linear fractional maps of the ball and their composition operators. Zbl 1112.32002
Bayart, Frédéric
2007
How to get universal inner functions. Zbl 1129.47027
Bayart, Frédéric; Gorkin, Pamela
2007
Frequently hypercyclic operators. Zbl 1115.47005
Bayart, Frédéric; Grivaux, Sophie
2006
Hyponormal operators, weighted shifts and weak forms of supercyclicity. Zbl 1103.47006
Bayart, Frédéric; Matheron, Etienne
2006
Boundary behavior and Cesàro means of universal Taylor series. Zbl 1103.30003
Bayart, Frédéric
2006
Topological and algebraic genericity of divergence and universality. Zbl 1076.46012
Bayart, Frédéric
2005
Hypercyclicity and unimodular point spectrum. Zbl 1089.47008
Bayart, Frédéric; Grivaux, Sophie
2005
Linearity of sets of strange functions. Zbl 1092.46006
Bayart, Frédéric
2005
Universal Taylor series on general doubly connected domains. Zbl 1089.30006
Bayart, Frédéric
2005
Common hypercyclic subspaces. Zbl 1120.47003
Bayart, Frédéric
2005
Universal radial limits of holomorphic functions. Zbl 1078.32002
Bayart, Frédéric
2005
Porosity and hypercyclic operators. Zbl 1202.47009
Bayart, Frédéric
2005
On the irreducibility in the ring of analytic Dirichlet series. (Sur l’irréductibilité dans l’anneau des séries de Dirichlet analytiques.) Zbl 1078.32003
Bayart, Frédéric; Mouze, Augustin
2005
Hypercyclicity: the role of the unimodular point spectrum. (Hypercyclicité : Le rôle du spectre ponctuel unimodulaire.) Zbl 1059.47006
Bayart, Frédéric; Grivaux, Sophie
2004
Common hypercyclic vectors for composition operators. Zbl 1104.47009
Bayart, Frédéric
2004
Convergence almost everywhere and divergence everywhere of Taylor and Dirichlet series. Zbl 1068.42005
Bayart, F.; Konyagin, S. V.; Queffélec, H.
2004
The product of two Dirichlet series. Zbl 1122.11056
Bayart, Frédéric
2004
Compact composition operators on a Hilbert space of Dirichlet series. Zbl 1059.47023
Bayart, Frédéric
2003
Similarity to an isometry of a composition operator. Zbl 1055.47020
Bayart, Frédéric
2003
Division and composition theorems in the ring of analytic Dirichlet series. (Division et composition dans l’anneau des séries de Dirichlet analytiques.) Zbl 1077.32002
Bayart, Frédéric; Mouze, Augustin
2003
The ring of analytic Dirichlet series is factorial. (Factorialité de l’anneau des séries de Dirichlet analytiques.) Zbl 1068.11056
Bayart, Frédéric; Mouze, Augustin
2003
Hardy spaces of Dirichlet series and their composition operators. Zbl 1076.46017
Bayart, Frédéric
2002
New spaces of Dirichlet series and their composition operators. (De nouveaux espaces de séries de Dirichlet et leurs opérateurs de composition.) Zbl 1017.47023
Bayart, Frédéric
2001
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
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### 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
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### 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)