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Author ID: bayart.frederic Recent zbMATH articles by "Bayart, Frédéric"
Published as: Bayart, Frédéric; Bayart, F.; Bayart, Frederic
all top 5

Serials

7 Journal of Functional Analysis
5 Israel Journal of Mathematics
5 Advances in Mathematics
5 Proceedings of the American Mathematical Society
3 Journal d’Analyse Mathématique
3 Annales de l’Institut Fourier
3 Bulletin of the London Mathematical Society
3 Indiana University Mathematics Journal
3 Mathematische Annalen
3 Proceedings of the London Mathematical Society. Third Series
3 Transactions of the American Mathematical Society
3 Journal of Operator Theory
3 Ergodic Theory and Dynamical Systems
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Mathematical Analysis and Applications
2 Arkiv för Matematik
2 Canadian Mathematical Bulletin
2 Illinois Journal of Mathematics
2 Mathematische Zeitschrift
2 Revista Matemática Iberoamericana
2 Revista Matemática Complutense
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Nonlinearity
1 Studia Mathematica
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

Publications by Year

Citations contained in zbMATH Open

88 Publications have been cited 1,950 times in 1,111 Documents Cited by Year
Dynamics of linear operators. Zbl 1187.47001
Bayart, Frédéric; Matheron, Étienne
518
2009
Frequently hypercyclic operators. Zbl 1115.47005
Bayart, Frédéric; Grivaux, Sophie
150
2006
Hardy spaces of Dirichlet series and their composition operators. Zbl 1076.46017
Bayart, Frédéric
104
2002
Abstract theory of universal series and applications. Zbl 1147.30003
Bayart, F.; Grosse-Erdmann, K.-G.; Nestoridis, V.; Papadimitropoulos, C.
87
2008
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.
82
2014
Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035
Bayart, Frédéric; Ruzsa, Imre Z.
64
2015
Invariant Gaussian measures for operators on Banach spaces and linear dynamics. Zbl 1115.47006
Bayart, Frédéric; Grivaux, Sophie
51
2007
Hypercyclic operators failing the hypercyclicity criterion on classical Banach spaces. Zbl 1131.47006
Bayart, F.; Matheron, É.
44
2007
\(m\)-isometries on Banach spaces. Zbl 1230.47018
Bayart, Frédéric
40
2011
Hypercyclicity: the role of the unimodular point spectrum. (Hypercyclicité : Le rôle du spectre ponctuel unimodulaire.) Zbl 1059.47006
Bayart, Frédéric; Grivaux, Sophie
38
2004
Topological and algebraic genericity of divergence and universality. Zbl 1076.46012
Bayart, Frédéric
38
2005
Sharp generalizations of the multilinear Bohnenblust-Hille inequality. Zbl 1319.46035
Albuquerque, N.; Bayart, F.; Pellegrino, D.; Seoane-Sepúlveda, J. B.
37
2014
Compact composition operators on a Hilbert space of Dirichlet series. Zbl 1059.47023
Bayart, Frédéric
36
2003
Hypercyclicity and unimodular point spectrum. Zbl 1089.47008
Bayart, Frédéric; Grivaux, Sophie
31
2005
Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators. Zbl 1342.26040
Albuquerque, N.; Bayart, Frederic; Pellegrino, D.; Seoane-Sepúlveda, J. B.
30
2016
Mixing operators and small subsets of the circle. Zbl 1359.47009
Bayart, Frédéric; Matheron, Étienne
26
2016
Linearity of sets of strange functions. Zbl 1092.46006
Bayart, Frédéric
25
2005
Algebras in sets of queer functions. Zbl 1138.46017
Bayart, Frédéric; Quarta, Lucas
24
2007
How to get common universal vectors. Zbl 1126.47007
Bayart, F.; Matheron, É.
22
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
22
2016
Common hypercyclic vectors for composition operators. Zbl 1104.47009
Bayart, Frédéric
20
2004
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
20
2017
Hyponormal operators, weighted shifts and weak forms of supercyclicity. Zbl 1103.47006
Bayart, Frédéric; Matheron, Etienne
19
2006
Semigroups of chaotic operators. Zbl 1182.47007
Bayart, Frédéric; Bermúdez, Teresa
19
2009
Maximum modulus of random polynomials. Zbl 1248.46033
Bayart, Frédéric
18
2012
Boundary behavior and Cesàro means of universal Taylor series. Zbl 1103.30003
Bayart, Frédéric
18
2006
Multiple summing maps: coordinatewise summability, inclusion theorems and \(p\)-Sidon sets. Zbl 1391.46057
Bayart, Frédéric
17
2018
Common hypercyclic subspaces. Zbl 1120.47003
Bayart, Frédéric
15
2005
Universal Taylor series on general doubly connected domains. Zbl 1089.30006
Bayart, Frédéric
14
2005
On the Hausdorff dimension of graphs of prevalent continuous functions on compact sets. Zbl 1268.28003
Bayart, Frédéric; Heurteaux, Yanick
13
2013
A class of linear fractional maps of the ball and their composition operators. Zbl 1112.32002
Bayart, Frédéric
12
2007
(Non-)weakly mixing operators and hypercyclicity sets. Zbl 1178.47003
Bayart, Frédéric; Matheron, Étienne
12
2009
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
12
2012
Multifractal spectra of typical and prevalent measures. Zbl 1276.28014
Bayart, Frédéric
12
2013
Topological transitivity and mixing of composition operators. Zbl 1509.47029
Bayart, Frédéric; Darji, Udayan B.; Pires, Benito
12
2018
Universal radial limits of holomorphic functions. Zbl 1078.32002
Bayart, Frédéric
11
2005
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
11
2019
Parabolic composition operators on the ball. Zbl 1189.47025
Bayart, Frédéric
10
2010
Dirichlet approximation and universal Dirichlet series. Zbl 1386.30057
Aron, Richard M.; Bayart, Frédéric; Gauthier, Paul M.; Maestre, Manuel; Nestoridis, Vassili
10
2017
Multifractal analysis of the divergence of Fourier series: the extreme cases. Zbl 1307.42003
Bayart, Frédéric; Heurteaux, Yanick
9
2014
Dynamics of holomorphic groups. Zbl 1218.47060
Bayart, Frédéric
9
2011
The linear fractional model on the ball. Zbl 1165.32009
Bayart, Frédéric
9
2008
Convergence almost everywhere and divergence everywhere of Taylor and Dirichlet series. Zbl 1068.42005
Bayart, F.; Konyagin, S. V.; Queffélec, H.
9
2004
Bounded universal functions for sequences of holomorphic self-maps of the disk. Zbl 1195.30069
Bayart, Frédéric; Gorkin, Pamela; Grivaux, Sophie; Mortini, Raymond
9
2009
Similarity to an isometry of a composition operator. Zbl 1055.47020
Bayart, Frédéric
8
2003
Composition operators on the Wiener-Dirichlet algebra. Zbl 1211.47029
Bayart, Frédéric; Finet, Catherine; Li, Daniel; Queffélec, Hervé
8
2008
Composition operators and embedding theorems for some function spaces of Dirichlet series. Zbl 07126314
Bayart, Frédéric; Brevig, Ole Fredrik
8
2019
Hypercyclic algebras. Zbl 1480.47013
Bayart, Frédéric
7
2019
Compact composition operators with nonlinear symbols on the \(H^2\) space of Dirichlet series. Zbl 1481.47037
Bayart, Frédéric; Brevig, Ole Frederik
7
2017
On coincidence results for summing multilinear operators: interpolation, \(\ell_1\)-spaces and cotype. Zbl 1446.46029
Bayart, Frédéric; Pellegrino, Daniel; Rueda, Pilar
7
2020
Composition operators on the polydisk induced by affine maps. Zbl 1223.47026
Bayart, Frédéric
6
2011
How to get universal inner functions. Zbl 1129.47027
Bayart, Frédéric; Gorkin, Pamela
6
2007
Hyperbolic composition operators on the ball. Zbl 1269.47023
Bayart, F.; Charpentier, S.
6
2013
Epsilon-hypercyclic operators on a Hilbert space. Zbl 1204.47010
Bayart, Frédéric
5
2010
Universal Taylor series have a strong form of universality. Zbl 1156.30003
Bayart, Frédéric; Nestoridis, Vassili
5
2008
Common bounded universal functions for composition operators. Zbl 1181.47019
Bayart, Frédéric; Grivaux, Sophie; Mortini, Raymond
5
2008
Porosity and hypercyclic operators. Zbl 1202.47009
Bayart, Frédéric
5
2005
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
5
2018
Baire theorem and hypercyclic algebras. Zbl 07282535
Bayart, Frédéric; Costa Júnior, Fernando; Papathanasiou, Dimitris
5
2021
Non-existence of frequently hypercyclic subspaces for \(P(D)\). Zbl 1372.47010
Bayart, Frédéric; Ernst, Romuald; Menet, Quentin
5
2016
Summability of the coefficients of a multilinear form. Zbl 1487.46045
Bayart, Frédéric
5
2022
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
4
2003
The multifractal box dimensions of typical measures. Zbl 1271.28003
Bayart, Frédéric
4
2012
How do the typical \(L^q\)-dimensions of measures behave? Zbl 1314.28005
Bayart, Frédéric
3
2014
Topologically transitive skew-products of operators. Zbl 1191.37008
Bayart, Frédéric; Costakis, George; Hadjiloucas, Demetris
3
2010
Boundary multifractal behaviour for harmonic functions in the ball. Zbl 1258.31004
Bayart, Frédéric; Heurteaux, Yanick
3
2013
Convergence and almost sure properties in Hardy spaces of Dirichlet series. Zbl 1496.43002
Bayart, Frédéric
3
2022
Monomial convergence for holomorphic functions on \(\ell_r\). Zbl 1435.46033
Bayart, Frédéric; Defant, Andreas; Schlüters, Sunke
3
2019
Fast and slow points of Birkhoff sums. Zbl 1454.37010
Bayart, Frédéric; Buczolich, Zoltán; Heurteaux, Yanick
3
2020
Composition operators on spaces of double Dirichlet series. Zbl 1467.32001
Bayart, Frédéric; Castillo-Medina, Jaime; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo
3
2021
Common hypercyclic vectors for high-dimensional families of operators. Zbl 1404.47001
Bayart, Frédéric
3
2016
Hypercyclic operators and rotated orbits with polynomial phases. Zbl 1310.47009
Bayart, F.; Costakis, G.
2
2014
Cyclic operators with finite support. Zbl 1275.47019
Bayart, F.; Costakis, G.
2
2013
Universal inner functions on the ball. Zbl 1168.32003
Bayart, Frédéric
2
2008
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
2
2001
Two problems on weighted shifts in linear dynamics. Zbl 07411880
Bayart, Frédéric
2
2021
Interpolation of Hardy spaces of Dirichlet series. Zbl 1426.46014
Bayart, Frédéric; Mastyło, Mieczysław
2
2019
Multifractal phenomena and packing dimension. Zbl 1475.28005
Bayart, Frédéric; Heurteaux, Yanick
2
2019
Functions universal for all translation operators in several complex variables. Zbl 1441.47004
Bayart, Frédéric; Gauthier, Paul M.
2
2017
Common hypercyclic vectors and dimension of the parameter set. Zbl 07619435
Bayart, Frederic; Costa, Fernando; Menet, Quentin
2
2022
The ring of analytic Dirichlet series is factorial. (Factorialité de l’anneau des séries de Dirichlet analytiques.) Zbl 1068.11056
Bayart, Frédéric; Mouze, Augustin
1
2003
Small sets and hypercyclic vectors. Zbl 1210.47022
Bayart, F.; Matheron, É; Moreau, P.
1
2008
Weak-closure and polarization constant by Gaussian measure. Zbl 1195.46013
Bayart, F.
1
2010
The product of two Dirichlet series. Zbl 1122.11056
Bayart, 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 1078.32003
Bayart, Frédéric; Mouze, Augustin
1
2005
Lectures on today’s mathematics. Vol. 4. (Leçons de mathématiques d’aujourd’hui. Vol. 4.) Zbl 1489.00001
1
2010
Central limit theorems in linear dynamics. Zbl 1353.47015
Bayart, Frédéric
1
2015
Linear combinations of composition operators with linear symbols on a Hilbert space of Dirichlet series. Zbl 1513.47045
Bayart, Frédéric; Wang, Maofa; Yao, Xingxing
1
2021
Summability of the coefficients of a multilinear form. Zbl 1487.46045
Bayart, Frédéric
5
2022
Convergence and almost sure properties in Hardy spaces of Dirichlet series. Zbl 1496.43002
Bayart, Frédéric
3
2022
Common hypercyclic vectors and dimension of the parameter set. Zbl 07619435
Bayart, Frederic; Costa, Fernando; Menet, Quentin
2
2022
Baire theorem and hypercyclic algebras. Zbl 07282535
Bayart, Frédéric; Costa Júnior, Fernando; Papathanasiou, Dimitris
5
2021
Composition operators on spaces of double Dirichlet series. Zbl 1467.32001
Bayart, Frédéric; Castillo-Medina, Jaime; García, Domingo; Maestre, Manuel; Sevilla-Peris, Pablo
3
2021
Two problems on weighted shifts in linear dynamics. Zbl 07411880
Bayart, Frédéric
2
2021
Linear combinations of composition operators with linear symbols on a Hilbert space of Dirichlet series. Zbl 1513.47045
Bayart, Frédéric; Wang, Maofa; Yao, Xingxing
1
2021
On coincidence results for summing multilinear operators: interpolation, \(\ell_1\)-spaces and cotype. Zbl 1446.46029
Bayart, Frédéric; Pellegrino, Daniel; Rueda, Pilar
7
2020
Fast and slow points of Birkhoff sums. Zbl 1454.37010
Bayart, Frédéric; Buczolich, Zoltán; Heurteaux, Yanick
3
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
11
2019
Composition operators and embedding theorems for some function spaces of Dirichlet series. Zbl 07126314
Bayart, Frédéric; Brevig, Ole Fredrik
8
2019
Hypercyclic algebras. Zbl 1480.47013
Bayart, Frédéric
7
2019
Monomial convergence for holomorphic functions on \(\ell_r\). Zbl 1435.46033
Bayart, Frédéric; Defant, Andreas; Schlüters, Sunke
3
2019
Interpolation of Hardy spaces of Dirichlet series. Zbl 1426.46014
Bayart, Frédéric; Mastyło, Mieczysław
2
2019
Multifractal phenomena and packing dimension. Zbl 1475.28005
Bayart, Frédéric; Heurteaux, Yanick
2
2019
Multiple summing maps: coordinatewise summability, inclusion theorems and \(p\)-Sidon sets. Zbl 1391.46057
Bayart, Frédéric
17
2018
Topological transitivity and mixing of composition operators. Zbl 1509.47029
Bayart, Frédéric; Darji, Udayan B.; Pires, Benito
12
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
5
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
20
2017
Dirichlet approximation and universal Dirichlet series. Zbl 1386.30057
Aron, Richard M.; Bayart, Frédéric; Gauthier, Paul M.; Maestre, Manuel; Nestoridis, Vassili
10
2017
Compact composition operators with nonlinear symbols on the \(H^2\) space of Dirichlet series. Zbl 1481.47037
Bayart, Frédéric; Brevig, Ole Frederik
7
2017
Functions universal for all translation operators in several complex variables. Zbl 1441.47004
Bayart, Frédéric; Gauthier, Paul M.
2
2017
Optimal Hardy-Littlewood type inequalities for polynomials and multilinear operators. Zbl 1342.26040
Albuquerque, N.; Bayart, Frederic; Pellegrino, D.; Seoane-Sepúlveda, J. B.
30
2016
Mixing operators and small subsets of the circle. Zbl 1359.47009
Bayart, Frédéric; Matheron, Étienne
26
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
22
2016
Non-existence of frequently hypercyclic subspaces for \(P(D)\). Zbl 1372.47010
Bayart, Frédéric; Ernst, Romuald; Menet, Quentin
5
2016
Common hypercyclic vectors for high-dimensional families of operators. Zbl 1404.47001
Bayart, Frédéric
3
2016
Difference sets and frequently hypercyclic weighted shifts. Zbl 1355.37035
Bayart, Frédéric; Ruzsa, Imre Z.
64
2015
Central limit theorems in linear dynamics. Zbl 1353.47015
Bayart, Frédéric
1
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.
82
2014
Sharp generalizations of the multilinear Bohnenblust-Hille inequality. Zbl 1319.46035
Albuquerque, N.; Bayart, F.; Pellegrino, D.; Seoane-Sepúlveda, J. B.
37
2014
Multifractal analysis of the divergence of Fourier series: the extreme cases. Zbl 1307.42003
Bayart, Frédéric; Heurteaux, Yanick
9
2014
How do the typical \(L^q\)-dimensions of measures behave? Zbl 1314.28005
Bayart, Frédéric
3
2014
Hypercyclic operators and rotated orbits with polynomial phases. Zbl 1310.47009
Bayart, F.; Costakis, G.
2
2014
On the Hausdorff dimension of graphs of prevalent continuous functions on compact sets. Zbl 1268.28003
Bayart, Frédéric; Heurteaux, Yanick
13
2013
Multifractal spectra of typical and prevalent measures. Zbl 1276.28014
Bayart, Frédéric
12
2013
Hyperbolic composition operators on the ball. Zbl 1269.47023
Bayart, F.; Charpentier, S.
6
2013
Boundary multifractal behaviour for harmonic functions in the ball. Zbl 1258.31004
Bayart, Frédéric; Heurteaux, Yanick
3
2013
Cyclic operators with finite support. Zbl 1275.47019
Bayart, F.; Costakis, G.
2
2013
Maximum modulus of random polynomials. Zbl 1248.46033
Bayart, Frédéric
18
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
12
2012
The multifractal box dimensions of typical measures. Zbl 1271.28003
Bayart, Frédéric
4
2012
\(m\)-isometries on Banach spaces. Zbl 1230.47018
Bayart, Frédéric
40
2011
Dynamics of holomorphic groups. Zbl 1218.47060
Bayart, Frédéric
9
2011
Composition operators on the polydisk induced by affine maps. Zbl 1223.47026
Bayart, Frédéric
6
2011
Parabolic composition operators on the ball. Zbl 1189.47025
Bayart, Frédéric
10
2010
Epsilon-hypercyclic operators on a Hilbert space. Zbl 1204.47010
Bayart, Frédéric
5
2010
Topologically transitive skew-products of operators. Zbl 1191.37008
Bayart, Frédéric; Costakis, George; Hadjiloucas, Demetris
3
2010
Weak-closure and polarization constant by Gaussian measure. Zbl 1195.46013
Bayart, F.
1
2010
Lectures on today’s mathematics. Vol. 4. (Leçons de mathématiques d’aujourd’hui. Vol. 4.) Zbl 1489.00001
1
2010
Dynamics of linear operators. Zbl 1187.47001
Bayart, Frédéric; Matheron, Étienne
518
2009
Semigroups of chaotic operators. Zbl 1182.47007
Bayart, Frédéric; Bermúdez, Teresa
19
2009
(Non-)weakly mixing operators and hypercyclicity sets. Zbl 1178.47003
Bayart, Frédéric; Matheron, Étienne
12
2009
Bounded universal functions for sequences of holomorphic self-maps of the disk. Zbl 1195.30069
Bayart, Frédéric; Gorkin, Pamela; Grivaux, Sophie; Mortini, Raymond
9
2009
Abstract theory of universal series and applications. Zbl 1147.30003
Bayart, F.; Grosse-Erdmann, K.-G.; Nestoridis, V.; Papadimitropoulos, C.
87
2008
The linear fractional model on the ball. Zbl 1165.32009
Bayart, Frédéric
9
2008
Composition operators on the Wiener-Dirichlet algebra. Zbl 1211.47029
Bayart, Frédéric; Finet, Catherine; Li, Daniel; Queffélec, Hervé
8
2008
Universal Taylor series have a strong form of universality. Zbl 1156.30003
Bayart, Frédéric; Nestoridis, Vassili
5
2008
Common bounded universal functions for composition operators. Zbl 1181.47019
Bayart, Frédéric; Grivaux, Sophie; Mortini, Raymond
5
2008
Universal inner functions on the ball. Zbl 1168.32003
Bayart, Frédéric
2
2008
Small sets and hypercyclic vectors. Zbl 1210.47022
Bayart, F.; Matheron, É; Moreau, P.
1
2008
Invariant Gaussian measures for operators on Banach spaces and linear dynamics. Zbl 1115.47006
Bayart, Frédéric; Grivaux, Sophie
51
2007
Hypercyclic operators failing the hypercyclicity criterion on classical Banach spaces. Zbl 1131.47006
Bayart, F.; Matheron, É.
44
2007
Algebras in sets of queer functions. Zbl 1138.46017
Bayart, Frédéric; Quarta, Lucas
24
2007
How to get common universal vectors. Zbl 1126.47007
Bayart, F.; Matheron, É.
22
2007
A class of linear fractional maps of the ball and their composition operators. Zbl 1112.32002
Bayart, Frédéric
12
2007
How to get universal inner functions. Zbl 1129.47027
Bayart, Frédéric; Gorkin, Pamela
6
2007
Frequently hypercyclic operators. Zbl 1115.47005
Bayart, Frédéric; Grivaux, Sophie
150
2006
Hyponormal operators, weighted shifts and weak forms of supercyclicity. Zbl 1103.47006
Bayart, Frédéric; Matheron, Etienne
19
2006
Boundary behavior and Cesàro means of universal Taylor series. Zbl 1103.30003
Bayart, Frédéric
18
2006
Topological and algebraic genericity of divergence and universality. Zbl 1076.46012
Bayart, Frédéric
38
2005
Hypercyclicity and unimodular point spectrum. Zbl 1089.47008
Bayart, Frédéric; Grivaux, Sophie
31
2005
Linearity of sets of strange functions. Zbl 1092.46006
Bayart, Frédéric
25
2005
Common hypercyclic subspaces. Zbl 1120.47003
Bayart, Frédéric
15
2005
Universal Taylor series on general doubly connected domains. Zbl 1089.30006
Bayart, Frédéric
14
2005
Universal radial limits of holomorphic functions. Zbl 1078.32002
Bayart, Frédéric
11
2005
Porosity and hypercyclic operators. Zbl 1202.47009
Bayart, Frédéric
5
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
1
2005
Hypercyclicity: the role of the unimodular point spectrum. (Hypercyclicité : Le rôle du spectre ponctuel unimodulaire.) Zbl 1059.47006
Bayart, Frédéric; Grivaux, Sophie
38
2004
Common hypercyclic vectors for composition operators. Zbl 1104.47009
Bayart, Frédéric
20
2004
Convergence almost everywhere and divergence everywhere of Taylor and Dirichlet series. Zbl 1068.42005
Bayart, F.; Konyagin, S. V.; Queffélec, H.
9
2004
The product of two Dirichlet series. Zbl 1122.11056
Bayart, Frédéric
1
2004
Compact composition operators on a Hilbert space of Dirichlet series. Zbl 1059.47023
Bayart, Frédéric
36
2003
Similarity to an isometry of a composition operator. Zbl 1055.47020
Bayart, Frédéric
8
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
4
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
1
2003
Hardy spaces of Dirichlet series and their composition operators. Zbl 1076.46017
Bayart, Frédéric
104
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
2
2001
all top 5

Cited by 770 Authors

52 Bayart, Frédéric
40 Pellegrino, Daniel Marinho
40 Peris, Alfredo
36 Bernal-Gonzàlez, Luis
31 Defant, Andreas
31 Nestoridis, Vassili
30 Seoane-Sepúlveda, Juan Benigno
28 Zhou, Zehua
26 Mouze, Augustin
21 Queffélec, Hervé
21 Sevilla-Peris, Pablo
20 Grivaux, Sophie
19 Brevig, Ole Fredrik
19 Menet, Quentin
18 Bonilla, Antonio
18 Conejero, José Alberto
18 Kostić, Marko
17 Araújo, Gustavo da Silva
17 Bonet Solves, José
16 Muñoz-Fernández, Gustavo Adolfo
16 Shkarin, Stanislav A.
15 Amouch, Mohamed
15 Charpentier, Stéphane
15 Núñez-Alarcón, Daniel
15 Seip, Kristian
14 Costakis, George
14 Hedayatian, Karim
14 Martínez-Giménez, Félix
14 Serrano-Rodríguez, Diana Marcela
14 Yin, Zongbin
13 Bès, Juan P.
13 Tabatabaie, Seyyed Mohammad
11 Grosse-Erdmann, Karl-Goswin
11 Liang, Yuxia
11 Murillo-Arcila, Marina
11 Santos, Joedson
10 Albuquerque, Nacib Gurgel
10 Benchiheb, Otmane
10 Bernardes, Nilson C. jun.
10 Calderón-Moreno, María del Carmen
10 Li, Daniel
10 Mastyło, Mieczysław
10 Meyrath, Thierry
10 Rodríguez-Piazza, Luis
10 Schoolmann, Ingo
10 Tsirivas, Nikolaos
9 Bermúdez, Teresa
9 Darji, Udayan B.
9 León-Saavedra, Fernando
9 Maestre, Manuel
9 Muro, Santiago
9 Perfekt, Karl-Mikael
8 Albanese, Angela Anna
8 Azimi, Mohammad Reza
8 Bartoszewicz, Artur
8 Carando, Daniel G.
8 Ernst, Romuald
8 Gu, Caixing
8 He, Shengnan
8 Maiuriello, Martina
8 Martínez-Avendaño, Rubén A.
8 Marzougui, Habib
8 Messaoudi, Ali
8 Müller, Jürgen
8 Wang, Ya
7 Cavalcante, Wasthenny Vasconcelos
7 Chan, Kit Chak
7 D’Aniello, Emma
7 Galicer, Daniel
7 Gardiner, Stephen J.
7 Jiménez-Rodríguez, Pablo
7 Jordá, Enrique
7 Khani Robati, Bahram
7 Müller, Vladimír
7 Munnier, Vincent
7 Rueda, Pilar
7 Saksman, Eero
7 Vlachou, Vagia
7 Wang, Maofa
7 Yousefi, Bahmann
6 Bamerni, Nareen
6 Głąb, Szymon
6 Jung, Andreas
6 Karim, Noureddine
6 Martin, Özgur
6 Matheron, Étienne
6 Nogueira, Tony
6 Papathanasiou, Dimitris
6 Pérez Hernández, Antonio
6 Przestacki, Adam
6 Rezaei, Hamid
6 Ricker, Werner Joseph
6 Seuret, Stéphane
6 Shu, Yonglu
6 Wu, Xinxing
6 Yang, Qigui
6 Yao, Xingxing
6 Zhang, Liang
5 Abakumov, Evgeny V.
5 Ansari, Mohammad
...and 670 more Authors
all top 5

Cited in 222 Serials

142 Journal of Mathematical Analysis and Applications
48 Journal of Functional Analysis
42 Proceedings of the American Mathematical Society
32 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
30 Integral Equations and Operator Theory
26 Complex Analysis and Operator Theory
19 Advances in Mathematics
19 Monatshefte für Mathematik
18 Journal of Approximation Theory
18 Linear Algebra and its Applications
17 Archiv der Mathematik
17 Results in Mathematics
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 Complex Variables and Elliptic Equations
16 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
15 Israel Journal of Mathematics
15 Computational Methods and Function Theory
14 Mathematische Nachrichten
14 Ergodic Theory and Dynamical Systems
13 Mediterranean Journal of Mathematics
12 Transactions of the American Mathematical Society
12 Topology and its Applications
11 Linear and Multilinear Algebra
11 Studia Mathematica
11 Revista Matemática Complutense
11 Operators and Matrices
10 Mathematische Annalen
10 Concrete Operators
9 Journal d’Analyse Mathématique
9 Collectanea Mathematica
9 Mathematische Zeitschrift
9 Abstract and Applied Analysis
9 Banach Journal of Mathematical Analysis
8 Revista Matemática Iberoamericana
8 Positivity
7 Canadian Mathematical Bulletin
7 Rendiconti del Circolo Matemàtico di Palermo. Serie II
7 The Journal of Geometric Analysis
7 Bulletin des Sciences Mathématiques
7 Bulletin of the Brazilian Mathematical Society. New Series
6 Annales de l’Institut Fourier
6 Bulletin of the London Mathematical Society
6 Indagationes Mathematicae. New Series
6 Turkish Journal of Mathematics
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
6 Annals of Functional Analysis
6 Advances in Operator Theory
5 Functiones et Approximatio. Commentarii Mathematici
5 Glasgow Mathematical Journal
5 Constructive Approximation
5 Filomat
5 Mathematical Inequalities & Applications
5 Acta Mathematica Scientia. Series B. (English Edition)
5 Journal of Function Spaces
5 Open Mathematics
4 Czechoslovak Mathematical Journal
4 Indiana University Mathematics Journal
4 Journal of the London Mathematical Society. Second Series
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Quaestiones Mathematicae
4 Acta Mathematica Hungarica
4 Bulletin of the Iranian Mathematical Society
4 Journal of Inequalities and Applications
4 Communications of the Korean Mathematical Society
4 Electronic Journal of Mathematical Analysis and Applications EJMAA
3 Indian Journal of Pure & Applied Mathematics
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Annales Polonici Mathematici
3 Journal of Number Theory
3 Journal für die Reine und Angewandte Mathematik
3 Real Analysis Exchange
3 Semigroup Forum
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
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 Chaos
3 Acta Mathematica Sinica. English Series
3 The Australian Journal of Mathematical Analysis and Applications
3 Carpathian Mathematical Publications
2 Analysis Mathematica
2 Bulletin of the Australian Mathematical Society
2 Lithuanian Mathematical Journal
2 Mathematical Notes
2 Nonlinearity
2 Acta Scientiarum Mathematicarum
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Bulletin de la Société Mathématique de France
2 Demonstratio Mathematica
2 Illinois Journal of Mathematics
2 International Journal of Mathematics and Mathematical Sciences
2 Journal of Differential Equations
2 The Journal of the Indian Mathematical Society. New Series
2 Journal of the Korean Mathematical Society
2 Mathematica Slovaca
2 Memoirs of the American Mathematical Society
2 Numerical Functional Analysis and Optimization
2 Proceedings of the London Mathematical Society. Third Series
2 Bulletin of the Korean Mathematical Society
...and 122 more Serials
all top 5

Cited in 42 Fields

753 Operator theory (47-XX)
298 Functional analysis (46-XX)
293 Functions of a complex variable (30-XX)
156 Dynamical systems and ergodic theory (37-XX)
92 Several complex variables and analytic spaces (32-XX)
51 Harmonic analysis on Euclidean spaces (42-XX)
47 Measure and integration (28-XX)
43 Real functions (26-XX)
35 Linear and multilinear algebra; matrix theory (15-XX)
34 Approximations and expansions (41-XX)
34 General topology (54-XX)
33 Number theory (11-XX)
25 Potential theory (31-XX)
24 Abstract harmonic analysis (43-XX)
19 Sequences, series, summability (40-XX)
19 Probability theory and stochastic processes (60-XX)
10 Partial differential equations (35-XX)
9 Combinatorics (05-XX)
9 Integral transforms, operational calculus (44-XX)
8 Quantum theory (81-XX)
7 Topological groups, Lie groups (22-XX)
7 Information and communication theory, circuits (94-XX)
5 General and overarching topics; collections (00-XX)
5 Group theory and generalizations (20-XX)
5 Convex and discrete geometry (52-XX)
4 Difference and functional equations (39-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Mathematical logic and foundations (03-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Ordinary differential equations (34-XX)
2 Nonassociative rings and algebras (17-XX)
2 Differential geometry (53-XX)
2 Computer science (68-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 Manifolds and cell complexes (57-XX)
1 Statistics (62-XX)
1 Numerical analysis (65-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)

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