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Author ID: gauthier.paul-m Recent zbMATH articles by "Gauthier, Paul M."
Published as: Gauthier, P. M.; Gauthier, Paul M.; Gauthier, Paul; Gauthier, P.
Documents Indexed: 174 Publications since 1968, including 2 Books
4 Contributions as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 66 Co-Authors with 133 Joint Publications
1,043 Co-Co-Authors
all top 5

Co-Authors

42 single-authored
15 Hengartner, Walter
10 Boivin, André
9 Bagby, Thomas
9 Chen, Huaihui
8 Brown, Leon
7 Nestoridis, Vassili
7 Paramonov, Peter V.
6 Ow, Wellington Ham
5 Manolaki, Myrto
5 Sharifi, Fatemeh
5 Zeron, Eduardo Santillan
4 Goldstein, Myron
4 Pouryayevali, Mohamad Reza
4 Tarkhanov, Nikolai N.
3 Dufresnoy, Alain
3 Dwilewicz, Roman J.
3 Falcó, Javier
3 Frih, El Mostapha
3 Seidel, Wladimir
3 Xiao, Jie
3 Zwick, Daniel S.
2 Arakelyan, N. U.
2 Armitage, David H.
2 Aron, Richard Martin
2 Bayart, Frédéric
2 Donzelli, Fabrizio
2 Maestre, Manuel
2 Mashreghi, Javad
2 Rubel, Lee Albert
2 Sabidussi, Gert
2 Schmieder, Gerald
2 Walsh, Joseph Leonard
2 Zhu, Changzhong
1 Arakelyan, N. O.
1 Ascah-Coallier, Isabelle
1 Bensouda, Charaf
1 Berberyan, Samvel L.
1 Blanchet, Pierre
1 Chacrone, Seddik
1 Charpentier, Stéphane
1 Clouâtre, Raphaël
1 Cornea, Aurel
1 Daepp, Ulrich
1 Daghighi, Abtin
1 Fournier, John J. F.
1 Gaier, Dieter
1 Gorkin, Pamela B.
1 Grosse-Erdmann, Karl-Goswin
1 Heinonen, Juha
1 Kienzle, Julie
1 Knese, Greg
1 Labreche, M.
1 Ladouceur, Stephane
1 Marden, Morris
1 Melnikov, Mark S.
1 Mortini, Raymond
1 Nersessian, Ashot H.
1 Ngô van Quê
1 Olivi-Tran, Nathalie
1 Papadopoulos, Athanase
1 Rahman, Qazi Ibadur
1 Ransford, Thomas J.
1 Rivlin, Theodore Joseph
1 Roth, Alice
1 Saff, Edward Barry
1 Schempp, Walter Johannes
1 Sewell, Walter Edwin
1 St-Amant, Simon
1 Stray, Arne
1 Tamptse, Innocent
1 Turcotte, Jérémie
1 Widder, David Vernon
1 Woodworth, Jennifer
1 Xarles, Xavier
all top 5

Serials

26 Canadian Mathematical Bulletin
18 Canadian Journal of Mathematics
8 Complex Variables. Theory and Application
7 Computational Methods and Function Theory
5 Journal of Approximation Theory
5 Proceedings of the American Mathematical Society
4 Journal of Mathematical Analysis and Applications
4 Transactions of the American Mathematical Society
4 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
3 Journal d’Analyse Mathématique
3 Journal of the London Mathematical Society. Second Series
2 Annales Polonici Mathematici
2 Nagoya Mathematical Journal
2 Constructive Approximation
2 Izvestiya Akademii Nauk Armyanskoi SSR. Matematika
2 Izvestiya: Mathematics
2 Annals of Mathematics. Second Series
2 Analysis (München)
2 Complex Variables and Elliptic Equations
2 Annales Academiae Scientiarum Fennicae. Series A I
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 The Mathematical Intelligencer
1 Advances in Mathematics
1 Annales des Sciences Mathématiques du Québec
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série
1 Colloquium Mathematicum
1 Journal of Mathematics of Kyoto University
1 Mathematische Annalen
1 Michigan Mathematical Journal
1 Results in Mathematics
1 Soviet Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 Bulletin de la Classe des Sciences. 5e Série
1 Doklady Bolgarskoĭ Akademii Nauk
1 L’Enseignement Mathématique. 2e Série
1 Journal of the Australian Mathematical Society. Series A
1 Methods and Applications of Analysis
1 Sbornik: Mathematics
1 Oberwolfach Reports
1 Annali della Scuola Normale Superiore di Pisa. Scienze Fisiche e Matematiche. III. Ser
1 Fields Institute Communications
1 NATO ASI Series. Series C. Mathematical and Physical Sciences
1 Proceedings of the Steklov Institute of Mathematics
1 NATO Science Series II: Mathematics, Physics and Chemistry
1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny
1 Albanian Journal of Mathematics
1 Advanced Studies in Theoretical Physics
1 Analysis and Mathematical Physics
1 Annales Mathématiques du Québec
1 Complex Analysis and its Synergies

Publications by Year

Citations contained in zbMATH Open

111 Publications have been cited 511 times in 350 Documents Cited by Year
Bloch constants for planar harmonic mappings. Zbl 0956.30012
Chen, Huaihui; Gauthier, P. M.; Hengartner, W.
56
2000
Bloch constants in several variables. Zbl 0966.32002
Chen, Huaihui; Gauthier, P. M.
22
2001
Composition operators on \(\mu\)-Bloch spaces. Zbl 1171.47020
Chen, Huaihui; Gauthier, Paul
19
2009
On Bloch’s constant. Zbl 0864.30025
Chen, Huaihui; Gauthier, Paul M.
19
1996
The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings. Zbl 1234.30024
Chen, Huaihui; Gauthier, Paul M.
17
2011
BiBloch-type maps: existence and beyond. Zbl 1026.30035
Gauthier, Paul M.; Xiao, Jie
12
2002
Boundedness from below of composition operators on \(\alpha\)-Bloch spaces. Zbl 1148.30017
Chen, Huaihui; Gauthier, Paul
12
2008
Subharmonic extensions and approximations. Zbl 0790.31001
Gauthier, P. M.
11
1994
On uniform approximation by \(n\)-analytic functions on closed sets in \(\mathbb C\). Zbl 1069.30076
Boivin, A.; Gauthier, P. M.; Paramonov, P. V.
11
2004
Recent developments in harmonic approximation, with applications. Zbl 0859.31001
Armitage, D. H.; Gauthier, P. M.
10
1996
Uniform approximation on closed sets by harmonic functions with Newtonian singularities. Zbl 0525.31002
Gauthier, P. M.; Goldstein, M.; Ow, W. H.
9
1983
Local harmonic majorants of functions subharmonic in the unit disc. Zbl 0279.31001
Gauthier, P. M.; Hengartner, Walter
9
1973
A criterion for normalcy. Zbl 0157.39802
Gauthier, P.
9
1968
Approximation by harmonic functions of closed subsets of Riemann surfaces. Zbl 0671.30037
Bagby, Thomas; Gauthier, P. M.
9
1988
Approximation on closed sets by analytic or meromorphic solutions of elliptic equations and applications. Zbl 1022.30043
Boivin, André; Gauthier, Paul M.; Paramonov, Petr V.
9
2002
Uniform approximation on unbounded sets by harmonic functions with logarithmic singularities. Zbl 0447.30035
Gauthier, P. M.; Goldstein, M.; Ow, W. H.
9
1980
Dirichlet approximation and universal Dirichlet series. Zbl 1386.30057
Aron, Richard M.; Bayart, Frédéric; Gauthier, Paul M.; Maestre, Manuel; Nestoridis, Vassili
9
2017
Approximation of and by the Riemann zeta-function. Zbl 1284.11122
Gauthier, Paul M.
8
2010
Approximation of a function and its derivatives by entire functions of several variables. Zbl 0641.32011
Frih, El Mostapha; Gauthier, Paul M.
7
1988
Universal overconvergence of homogeneous expansions of harmonic functions. Zbl 1132.31002
Gauthier, Paul M.; Tamptse, Innocent
7
2006
Continuous boundary behaviour for functions defined in the open unit disc. Zbl 0307.30031
Brown, Leon; Gauthier, P. M.; Hengartner, Walter
7
1975
Uniform approximation. Zbl 0810.30001
Gauthier, Paul M.
7
1994
Asymptotic maximum principles for subharmonic and plurisubharmonic functions. Zbl 0661.31007
Gauthier, P. M.; Grothmann, R.; Hengartner, W.
7
1988
Density of polynomials in classes of functions on products of planar domains. Zbl 1331.46044
Gauthier, P. M.; Nestoridis, V.
6
2016
Uniform approximation on closed sets by functions analytic on a Riemann surface. Zbl 0322.30034
Gauthier, P. M.; Hengartner, W.
6
1975
Possibility of uniform rational approximation in the spherical metric. Zbl 0322.30036
Gauthier, P. M.; Roth, A.; Walsh, Joseph L.
6
1976
Complex approximation and simultaneous interpolation on closed sets. Zbl 0338.30026
Gauthier, P. M.; Hengartner, W.
6
1977
Approximation by meromorphic functions with Mittag-Leffler type constraints. Zbl 0994.30022
Gauthier, P. M.; Pouryayevali, M. R.
6
2001
Approximation on arcs and dendrites going to infinity in \(\mathbb{C}^n\). Zbl 1012.32003
Gauthier, P. M.; Zeron, E. S.
6
2002
Approximation by the Riemann zeta-function. Zbl 1101.30038
Gauthier, P. M.; Tarkhanov, N.
6
2005
The existence of universal inner functions on the unit ball of \(\mathbb C^n\). Zbl 1105.32003
Gauthier, P. M.; Xiao, J.
6
2005
Approximation by (pluri) subharmonic functions: Fusion and localization. Zbl 0782.31001
Gauthier, P. M.
5
1992
Lectures on several complex variables. Zbl 1310.32001
Gauthier, Paul M.
5
2014
Small perturbations of the Riemann zeta function and their zeros. Zbl 1051.11046
Gauthier, Paul M.; Zeron, Eduardo S.
5
2004
Approximation uniforme qualitative sur des ensembles non bornes. Zbl 0482.30028
Gauthier, Paul M.; Hengartner, Walter
5
1982
Uniform approximation on closed sets by solutions of elliptic partial differential equations. Zbl 0569.35022
Dufresnoy, A.; Gauthier, P. M.; Ow, W. H.
4
1986
Uniform approximation by global harmonic functions. Zbl 0759.41017
Bagby, T.; Gauthier, P. M.
4
1992
Behavior of normal meromorphic functions on the maximal ideal space of \(H^ \infty\). Zbl 0219.46040
Brown, L.; Gauthier, P. M.
4
1971
Some applications of Arakelian’s approximation theorems to the theory of cluster sets. Zbl 0233.30029
Gauthier, P.; Seidel, W.
4
1972
Failure of Landau’s theorem for quasiconformal mappings of the disc. Zbl 1074.30019
Gauthier, P. M.; Pouryayevali, M. R.
4
2004
Meromorphic uniform approximation on closed subsets of open Riemann surfaces. Zbl 0409.30033
Gauthier, P. M.
4
1979
Approximating functions by the Riemann zeta-function and by polynomials with zero constraints. Zbl 1264.30023
Gauthier, Paul M.
4
2012
Zero-free polynomial approximation on a chain of Jordan domains. Zbl 1293.30074
Gauthier, Paul M.; Knese, Greg
4
2012
Global holomorphic approximations of CR functions on CR manifolds. Zbl 0548.32011
Dwilewicz, Roman; Gauthier, P. M.
3
1985
Note on the decay of solutions of elliptic equations. Zbl 0563.35028
Armitage, D. H.; Bagby, Thomas; Gauthier, P. M.
3
1985
Mergelyan’s theorem with polynomials non-vanishing on unions of sets. Zbl 1295.30087
Andersson, J.; Gauthier, P. M.
3
2014
Perturbations of \(L\)-functions with or without non-trivial zeros off the critical line. Zbl 1250.11084
Gauthier, Paul M.; Xarles, Xavier
3
2009
Mittag-Leffler theorems on Riemann surfaces and Riemannian manifolds. Zbl 0914.30033
Gauthier, Paul M.
3
1998
Holomorphic functionals on open Riemann surfaces. Zbl 0321.46032
Gauthier, P. M.; Rubel, L. A.
3
1976
Tangential approximation by entire functions and functions holomorphic in a disc. Zbl 0189.36006
Gauthier, P.
3
1969
Harmonic approximation on closed subsets of Riemannian manifolds. Zbl 0806.31003
Bagby, Thomas; Gauthier, Paul M.
3
1994
Holomorphic and harmonic approximation on Riemann surfaces. Zbl 1017.30044
Boivin, André; Gauthier, Paul M.
3
2001
On strongly normal functions. Zbl 0879.30019
Chen, Huaihui; Gauthier, Paul M.
3
1996
A function algebra providing new Mergelyan type theorems in several complex variables. Zbl 1462.32002
Falcó, Javier; Gauthier, Paul M.; Manolaki, Myrto; Nestoridis, Vassili
3
2021
Weighted Hardy spaces for the unit disc: approximation properties. Zbl 1146.30034
Boivin, André; Gauthier, Paul M.; Zhu, Changzhong
3
2007
Approximation by translates of Taylor polynomials of the Riemann zeta function. Zbl 1221.30084
Gauthier, Paul M.; Clouâtre, Raphaël
3
2008
Luzin-type harmonic approximation on subsets of non-compact Riemannian manifolds. Zbl 1417.31005
Gauthier, P. M.; Sharifi, F.
3
2019
Luzin-type holomorphic approximation on closed subsets of open Riemann surfaces. Zbl 1369.30039
Gauthier, Paul M.; Sharifi, Fatemeh
3
2017
Complex approximation and extension-interpolation on arbitrary sets in one dimension. Zbl 1361.30059
Gauthier, P. M.
3
2015
Conformal extensions of functions defined on arbitrary subsets of Riemann surfaces. Zbl 1310.30001
Gauthier, P. M.; Nestoridis, V.
2
2015
Runge- and Walsh-type extensions of smooth subharmonic functions on open Riemann surfaces. Zbl 1314.31001
Boivin, A.; Gauthier, P. M.; Paramonov, P. V.
2
2015
Non-extendable zero sets of harmonic and holomorphic functions. Zbl 1345.31012
Gauthier, P. M.
2
2016
Tangential harmonic approximation on Riemannian manifolds. Zbl 0910.31005
Bagby, Thomas; Gauthier, P. M.; Woodworth, Jennifer
2
1997
Complex approximation for vector-valued functions with an application to boundary behaviour. Zbl 0291.30018
Brown, Leon; Gauthier, P. M.; Seidel, W.
2
1974
Interpolation in separable Frechet spaces with applications to spaces of analytic functions. Zbl 0322.46006
Gauthier, Paul M.; Rubel, Lee A.
2
1975
Cercles de remplissage and asymptotic behaviour along circuitous paths. Zbl 0194.38102
Gauthier, P. M.
2
1970
The value distribution of most functions of one or several complex variables. Zbl 0233.32001
Gauthier, P. M.; Hengartner, Walter
2
1972
Degenerate cases of uniform approximation by solutions of systems with surjective symbols. Zbl 0795.35003
Gauthier, P. M.; Tarkhanov, N. N.
2
1993
Approximation harmonique sur les surfaces de Riemann. Zbl 0509.31003
Boivin, A.; Gauthier, P. M.
2
1984
Alice in Switzerland: the life and mathematics of Alice Roth. Zbl 1154.01316
Daepp, Ulrich; Gauthier, Paul; Gorkin, Pamela; Schmieder, Gerald
2
2005
Universal (pluri)subharmonic functions. Zbl 1145.32016
Gauthier, Paul M.; Pouryayevali, Mohamad R.
2
2007
From local to global properties of subharmonic functions on Green spaces. Zbl 0379.31006
Gauthier, P. M.; Goldstein, M.
2
1977
The Carathéodory reflection principle and Osgood-Carathéodory theorem on Riemann surfaces. Zbl 1360.30010
Gauthier, Paul M.; Sharifi, Fatemeh
2
2016
\(C^{m}\)-subharmonic extension of Runge type from closed to open subsets of \(\mathbb R^{N}\). Zbl 1298.31008
Boivin, A.; Gauthier, P. M.; Paramonov, P. V.
2
2012
A maximum principle for subharmonic and plurisubharmonic functions. Zbl 0729.30025
Chen, Huaihui; Gauthier, P. M.
2
1992
Uniform approximation on closed sets by solutions of elliptic partial differential equations. Zbl 0607.35032
Dufresnoy, A.; Gauthier, P. M.; Ow, W. H.
1
1986
On tangential approximation by holomorphic functions. Zbl 0538.30035
Arakelyan, N. U.; Gauthier, P. M.
1
1982
Approximation of a function and its derivatives by entire functions. Zbl 1338.30024
Gauthier, Paul M.; Kienzle, Julie
1
2016
On the instability of the Riemann hypothesis for curves over finite fields. Zbl 1268.11086
Gauthier, P. M.; Tarkhanov, N.
1
2012
Uniform approximation: Holomorphic, harmonic, subharmonic. Zbl 0839.30042
Gauthier, P. M.
1
1994
Superharmonic approximation on the closed sets. Zbl 0835.31008
Bensouda, Ch.; Gauthier, P. M.
1
1994
Fusion of two solutions of a partial differential equation. Zbl 0849.35013
Blanchet, Pierre; Gauthier, Paul M.
1
1994
Propagation of smallness and uniqueness for harmonic and holomorphic functions. Zbl 0938.31002
Arakelyan, N. U.; Gauthier, P. M.
1
1995
Uniform approximation and fine potential theory. Zbl 0782.31002
Gauthier, P. M.; Ladouceur, S.
1
1993
Compact approximation by bounded functions and functions continuous up to the boundary. Zbl 1183.30032
Gauthier, Paul M.; Melnikov, Mark S.
1
2009
Rational approximation and universality for a quasilinear parabolic equation. Zbl 1181.41020
Gauthier, P. M.; Tarkhanov, N.
1
2008
Mini-workshop: Complex approximation and universality. Abstracts from the mini-workshop held February 10–16, 2008. Zbl 1177.30002
1
2008
Une application de la théorie de l’approximation à l’étude des fonctions holomorphes. Zbl 0261.30020
Gauthier, P. M.
1
1973
Problème de surjectivite des applications holomorphes. Zbl 0278.32017
Gauthier, P. M.; Ngo Van Que
1
1974
Équidistribution des valeurs d’une fonction analytique generique sur un espace de Stein. Zbl 0305.32012
Brown, Leon; Gauthier, P. M.
1
1974
Approximation sur les fermes par des fonctions analytiques sur une surface de Riemann. Zbl 0322.30033
Gauthier, P. M.; Hengartner, W.
1
1973
Harmonic approximation on compact sets. Zbl 1064.31006
Bagby, Thomas; Gauthier, Paul M.
1
2003
Cercles de remplissage and asymptotic behaviour. Zbl 0181.35501
Gauthier, P.
1
1969
The maximum modulus of normal meromorphic functions and applications to value distribution. Zbl 0202.36101
Gauthier, P.
1
1970
The range set of a meromorphic function - a topological approach. Zbl 0215.13102
Brown, L.; Gauthier, P. M.
1
1971
Best uniform approximation by harmonic functions on subsets of Riemannian manifolds. Zbl 0799.41025
Gauthier, P. M.; Zwick, D.
1
1994
Cercles de remplissage for the Riemann zeta function. Zbl 1037.11056
Gauthier, P. M.
1
2003
Selected papers. With brief biographical sketches by W. E. Sewell, D. V. Widder and Morris Marden and commentaries by Q. I. Rahman, P. M. Gauthier, Dieter Gaier, Walter Schempp and the editors. Edited by Theodore J. Rivlin and Edward B. Saff. Zbl 0971.01015
Walsh, Joseph L.
1
2000
Carleman approximation on products of Riemann surfaces. Zbl 1054.32503
Chacrone, Seddik; Gauthier, Paul M.; Nersessian, Ashot H.
1
1998
Normal functions: \(L^ p\) estimates. Zbl 0874.30027
Chen, Huaihui; Gauthier, Paul M.
1
1997
A function algebra providing new Mergelyan type theorems in several complex variables. Zbl 1462.32002
Falcó, Javier; Gauthier, Paul M.; Manolaki, Myrto; Nestoridis, Vassili
3
2021
An asymptotic holomorphic boundary problem on arbitrary open sets in Riemann surfaces. Zbl 1452.30020
Falcó, Javier; Gauthier, Paul M.
1
2020
Luzin-type harmonic approximation on subsets of non-compact Riemannian manifolds. Zbl 1417.31005
Gauthier, P. M.; Sharifi, F.
3
2019
Extendability and domains of holomorphy in infinite-dimensional spaces. Zbl 1439.46033
Aron, Richard M.; Charpentier, Stéphane; Gauthier, Paul M.; Maestre, Manuel; Nestoridis, Vassili
1
2019
Approximation by solutions of elliptic equations and extension of subharmonic functions. Zbl 1412.30121
Gauthier, Paul; Paramonov, Petr V.
1
2018
On zero sets of harmonic and real analytic functions. Zbl 1408.31003
Boivin, André; Gauthier, Paul M.; Manolaki, Myrto
1
2018
Dirichlet approximation and universal Dirichlet series. Zbl 1386.30057
Aron, Richard M.; Bayart, Frédéric; Gauthier, Paul M.; Maestre, Manuel; Nestoridis, Vassili
9
2017
Luzin-type holomorphic approximation on closed subsets of open Riemann surfaces. Zbl 1369.30039
Gauthier, Paul M.; Sharifi, Fatemeh
3
2017
Uniform approximation in the spherical distance by functions meromorphic on Riemann surfaces. Zbl 1353.30043
Gauthier, P. M.; Sharifi, F.
1
2017
Density of polynomials in classes of functions on products of planar domains. Zbl 1331.46044
Gauthier, P. M.; Nestoridis, V.
6
2016
Non-extendable zero sets of harmonic and holomorphic functions. Zbl 1345.31012
Gauthier, P. M.
2
2016
The Carathéodory reflection principle and Osgood-Carathéodory theorem on Riemann surfaces. Zbl 1360.30010
Gauthier, Paul M.; Sharifi, Fatemeh
2
2016
Approximation of a function and its derivatives by entire functions. Zbl 1338.30024
Gauthier, Paul M.; Kienzle, Julie
1
2016
Complex approximation and extension-interpolation on arbitrary sets in one dimension. Zbl 1361.30059
Gauthier, P. M.
3
2015
Conformal extensions of functions defined on arbitrary subsets of Riemann surfaces. Zbl 1310.30001
Gauthier, P. M.; Nestoridis, V.
2
2015
Runge- and Walsh-type extensions of smooth subharmonic functions on open Riemann surfaces. Zbl 1314.31001
Boivin, A.; Gauthier, P. M.; Paramonov, P. V.
2
2015
Lectures on several complex variables. Zbl 1310.32001
Gauthier, Paul M.
5
2014
Mergelyan’s theorem with polynomials non-vanishing on unions of sets. Zbl 1295.30087
Andersson, J.; Gauthier, P. M.
3
2014
Universally overconvergent power series via the Riemann Zeta-function. Zbl 1281.30039
Gauthier, P. M.
1
2013
Approximating the Riemann zeta-function by strongly recurrent functions. Zbl 1277.11085
Gauthier, P. M.
1
2013
Approximating functions by the Riemann zeta-function and by polynomials with zero constraints. Zbl 1264.30023
Gauthier, Paul M.
4
2012
Zero-free polynomial approximation on a chain of Jordan domains. Zbl 1293.30074
Gauthier, Paul M.; Knese, Greg
4
2012
\(C^{m}\)-subharmonic extension of Runge type from closed to open subsets of \(\mathbb R^{N}\). Zbl 1298.31008
Boivin, A.; Gauthier, P. M.; Paramonov, P. V.
2
2012
On the instability of the Riemann hypothesis for curves over finite fields. Zbl 1268.11086
Gauthier, P. M.; Tarkhanov, N.
1
2012
The Landau theorem and Bloch theorem for planar harmonic and pluriharmonic mappings. Zbl 1234.30024
Chen, Huaihui; Gauthier, Paul M.
17
2011
Approximation of and by the Riemann zeta-function. Zbl 1284.11122
Gauthier, Paul M.
8
2010
Composition operators on \(\mu\)-Bloch spaces. Zbl 1171.47020
Chen, Huaihui; Gauthier, Paul
19
2009
Perturbations of \(L\)-functions with or without non-trivial zeros off the critical line. Zbl 1250.11084
Gauthier, Paul M.; Xarles, Xavier
3
2009
Compact approximation by bounded functions and functions continuous up to the boundary. Zbl 1183.30032
Gauthier, Paul M.; Melnikov, Mark S.
1
2009
Boundedness from below of composition operators on \(\alpha\)-Bloch spaces. Zbl 1148.30017
Chen, Huaihui; Gauthier, Paul
12
2008
Approximation by translates of Taylor polynomials of the Riemann zeta function. Zbl 1221.30084
Gauthier, Paul M.; Clouâtre, Raphaël
3
2008
Rational approximation and universality for a quasilinear parabolic equation. Zbl 1181.41020
Gauthier, P. M.; Tarkhanov, N.
1
2008
Mini-workshop: Complex approximation and universality. Abstracts from the mini-workshop held February 10–16, 2008. Zbl 1177.30002
1
2008
Weighted Hardy spaces for the unit disc: approximation properties. Zbl 1146.30034
Boivin, André; Gauthier, Paul M.; Zhu, Changzhong
3
2007
Universal (pluri)subharmonic functions. Zbl 1145.32016
Gauthier, Paul M.; Pouryayevali, Mohamad R.
2
2007
Universal overconvergence of homogeneous expansions of harmonic functions. Zbl 1132.31002
Gauthier, Paul M.; Tamptse, Innocent
7
2006
Simultaneous approximation on two subsets of an open Riemann surface. Zbl 1096.30034
Boivin, André; Gauthier, Paul M.; Schmieder, Gerald
1
2006
Approximation by the Riemann zeta-function. Zbl 1101.30038
Gauthier, P. M.; Tarkhanov, N.
6
2005
The existence of universal inner functions on the unit ball of \(\mathbb C^n\). Zbl 1105.32003
Gauthier, P. M.; Xiao, J.
6
2005
Alice in Switzerland: the life and mathematics of Alice Roth. Zbl 1154.01316
Daepp, Ulrich; Gauthier, Paul; Gorkin, Pamela; Schmieder, Gerald
2
2005
Covering properties of most entire functions on Stein manifolds. Zbl 1090.32002
Gauthier, Paul M.; Pouryayevali, Mohamad R.
1
2005
On uniform approximation by \(n\)-analytic functions on closed sets in \(\mathbb C\). Zbl 1069.30076
Boivin, A.; Gauthier, P. M.; Paramonov, P. V.
11
2004
Small perturbations of the Riemann zeta function and their zeros. Zbl 1051.11046
Gauthier, Paul M.; Zeron, Eduardo S.
5
2004
Failure of Landau’s theorem for quasiconformal mappings of the disc. Zbl 1074.30019
Gauthier, P. M.; Pouryayevali, M. R.
4
2004
Harmonic approximation on compact sets. Zbl 1064.31006
Bagby, Thomas; Gauthier, Paul M.
1
2003
Cercles de remplissage for the Riemann zeta function. Zbl 1037.11056
Gauthier, P. M.
1
2003
BiBloch-type maps: existence and beyond. Zbl 1026.30035
Gauthier, Paul M.; Xiao, Jie
12
2002
Approximation on closed sets by analytic or meromorphic solutions of elliptic equations and applications. Zbl 1022.30043
Boivin, André; Gauthier, Paul M.; Paramonov, Petr V.
9
2002
Approximation on arcs and dendrites going to infinity in \(\mathbb{C}^n\). Zbl 1012.32003
Gauthier, P. M.; Zeron, E. S.
6
2002
Bloch constants in several variables. Zbl 0966.32002
Chen, Huaihui; Gauthier, P. M.
22
2001
Approximation by meromorphic functions with Mittag-Leffler type constraints. Zbl 0994.30022
Gauthier, P. M.; Pouryayevali, M. R.
6
2001
Holomorphic and harmonic approximation on Riemann surfaces. Zbl 1017.30044
Boivin, André; Gauthier, Paul M.
3
2001
Bloch constants for planar harmonic mappings. Zbl 0956.30012
Chen, Huaihui; Gauthier, P. M.; Hengartner, W.
56
2000
Selected papers. With brief biographical sketches by W. E. Sewell, D. V. Widder and Morris Marden and commentaries by Q. I. Rahman, P. M. Gauthier, Dieter Gaier, Walter Schempp and the editors. Edited by Theodore J. Rivlin and Edward B. Saff. Zbl 0971.01015
Walsh, Joseph L.
1
2000
Mittag-Leffler theorems on Riemann surfaces and Riemannian manifolds. Zbl 0914.30033
Gauthier, Paul M.
3
1998
Carleman approximation on products of Riemann surfaces. Zbl 1054.32503
Chacrone, Seddik; Gauthier, Paul M.; Nersessian, Ashot H.
1
1998
Tangential harmonic approximation on Riemannian manifolds. Zbl 0910.31005
Bagby, Thomas; Gauthier, P. M.; Woodworth, Jennifer
2
1997
Normal functions: \(L^ p\) estimates. Zbl 0874.30027
Chen, Huaihui; Gauthier, Paul M.
1
1997
On Bloch’s constant. Zbl 0864.30025
Chen, Huaihui; Gauthier, Paul M.
19
1996
Recent developments in harmonic approximation, with applications. Zbl 0859.31001
Armitage, D. H.; Gauthier, P. M.
10
1996
On strongly normal functions. Zbl 0879.30019
Chen, Huaihui; Gauthier, Paul M.
3
1996
Propagation of smallness and uniqueness for harmonic and holomorphic functions. Zbl 0938.31002
Arakelyan, N. U.; Gauthier, P. M.
1
1995
Subharmonic extensions and approximations. Zbl 0790.31001
Gauthier, P. M.
11
1994
Uniform approximation. Zbl 0810.30001
Gauthier, Paul M.
7
1994
Harmonic approximation on closed subsets of Riemannian manifolds. Zbl 0806.31003
Bagby, Thomas; Gauthier, Paul M.
3
1994
Uniform approximation: Holomorphic, harmonic, subharmonic. Zbl 0839.30042
Gauthier, P. M.
1
1994
Superharmonic approximation on the closed sets. Zbl 0835.31008
Bensouda, Ch.; Gauthier, P. M.
1
1994
Fusion of two solutions of a partial differential equation. Zbl 0849.35013
Blanchet, Pierre; Gauthier, Paul M.
1
1994
Best uniform approximation by harmonic functions on subsets of Riemannian manifolds. Zbl 0799.41025
Gauthier, P. M.; Zwick, D.
1
1994
Degenerate cases of uniform approximation by solutions of systems with surjective symbols. Zbl 0795.35003
Gauthier, P. M.; Tarkhanov, N. N.
2
1993
Uniform approximation and fine potential theory. Zbl 0782.31002
Gauthier, P. M.; Ladouceur, S.
1
1993
Approximation by (pluri) subharmonic functions: Fusion and localization. Zbl 0782.31001
Gauthier, P. M.
5
1992
Uniform approximation by global harmonic functions. Zbl 0759.41017
Bagby, T.; Gauthier, P. M.
4
1992
A maximum principle for subharmonic and plurisubharmonic functions. Zbl 0729.30025
Chen, Huaihui; Gauthier, P. M.
2
1992
Approximation by harmonic functions of closed subsets of Riemann surfaces. Zbl 0671.30037
Bagby, Thomas; Gauthier, P. M.
9
1988
Approximation of a function and its derivatives by entire functions of several variables. Zbl 0641.32011
Frih, El Mostapha; Gauthier, Paul M.
7
1988
Asymptotic maximum principles for subharmonic and plurisubharmonic functions. Zbl 0661.31007
Gauthier, P. M.; Grothmann, R.; Hengartner, W.
7
1988
Uniform approximation on closed sets by solutions of elliptic partial differential equations. Zbl 0569.35022
Dufresnoy, A.; Gauthier, P. M.; Ow, W. H.
4
1986
Uniform approximation on closed sets by solutions of elliptic partial differential equations. Zbl 0607.35032
Dufresnoy, A.; Gauthier, P. M.; Ow, W. H.
1
1986
Global holomorphic approximations of CR functions on CR manifolds. Zbl 0548.32011
Dwilewicz, Roman; Gauthier, P. M.
3
1985
Note on the decay of solutions of elliptic equations. Zbl 0563.35028
Armitage, D. H.; Bagby, Thomas; Gauthier, P. M.
3
1985
Approximation harmonique sur les surfaces de Riemann. Zbl 0509.31003
Boivin, A.; Gauthier, P. M.
2
1984
Uniform approximation on closed sets by harmonic functions with Newtonian singularities. Zbl 0525.31002
Gauthier, P. M.; Goldstein, M.; Ow, W. H.
9
1983
Approximation uniforme qualitative sur des ensembles non bornes. Zbl 0482.30028
Gauthier, Paul M.; Hengartner, Walter
5
1982
On tangential approximation by holomorphic functions. Zbl 0538.30035
Arakelyan, N. U.; Gauthier, P. M.
1
1982
Uniform approximation on unbounded sets by harmonic functions with logarithmic singularities. Zbl 0447.30035
Gauthier, P. M.; Goldstein, M.; Ow, W. H.
9
1980
Meromorphic uniform approximation on closed subsets of open Riemann surfaces. Zbl 0409.30033
Gauthier, P. M.
4
1979
Complex approximation and simultaneous interpolation on closed sets. Zbl 0338.30026
Gauthier, P. M.; Hengartner, W.
6
1977
From local to global properties of subharmonic functions on Green spaces. Zbl 0379.31006
Gauthier, P. M.; Goldstein, M.
2
1977
On the possibility of rational approximation. Zbl 0386.41009
Gauthier, P. M.
1
1977
Possibility of uniform rational approximation in the spherical metric. Zbl 0322.30036
Gauthier, P. M.; Roth, A.; Walsh, Joseph L.
6
1976
Holomorphic functionals on open Riemann surfaces. Zbl 0321.46032
Gauthier, P. M.; Rubel, L. A.
3
1976
The set of Julia points for functions omitting two values. Zbl 0369.30024
Gauthier, P. M.; Hwang, J. S.
1
1976
Continuous boundary behaviour for functions defined in the open unit disc. Zbl 0307.30031
Brown, Leon; Gauthier, P. M.; Hengartner, Walter
7
1975
Uniform approximation on closed sets by functions analytic on a Riemann surface. Zbl 0322.30034
Gauthier, P. M.; Hengartner, W.
6
1975
Interpolation in separable Frechet spaces with applications to spaces of analytic functions. Zbl 0322.46006
Gauthier, Paul M.; Rubel, Lee A.
2
1975
Complex approximation for vector-valued functions with an application to boundary behaviour. Zbl 0291.30018
Brown, Leon; Gauthier, P. M.; Seidel, W.
2
1974
Problème de surjectivite des applications holomorphes. Zbl 0278.32017
Gauthier, P. M.; Ngo Van Que
1
1974
Équidistribution des valeurs d’une fonction analytique generique sur un espace de Stein. Zbl 0305.32012
Brown, Leon; Gauthier, P. M.
1
1974
Local harmonic majorants of functions subharmonic in the unit disc. Zbl 0279.31001
Gauthier, P. M.; Hengartner, Walter
9
1973
...and 11 more Documents
all top 5

Cited by 324 Authors

45 Gauthier, Paul M.
18 Chen, Shaolin
17 Ponnusamy, Saminathan
14 Liu, Mingsheng
14 Nestoridis, Vassili
13 Wang, Xiantao
12 Chen, Huaihui
9 Gardiner, Stephen J.
7 Zhang, Xuejun
6 Boivin, André
6 Maestre, Manuel
6 Manolaki, Myrto
5 Bernal-Gonzàlez, Luis
5 Falcó, Javier
5 Hamada, Hidetaka
4 Abdulhadi, Zayid
4 Aulaskari, Rauno
4 Bagby, Thomas
4 Bayart, Frédéric
4 Burke, Maxim R.
4 Dai, Jineng
4 Doubtsov, Evgueni Sergeevich
4 Gorkin, Pamela B.
4 Kohr, Gabriela
4 Li, Shenlian
4 Paramonov, Peter V.
4 Stević, Stevo
4 Wold, Erlend Fornæss
4 Xu, Si
4 Zorboska, Nina
3 Armitage, David H.
3 Boggess, Albert
3 Brown, Leon
3 Calderón-Moreno, María del Carmen
3 Carmona, Joan Josep
3 Charpentier, Stéphane
3 Danielyan, Arthur A.
3 Dwilewicz, Roman J.
3 Fedorovskiĭ, K. Yu.
3 Fedorovskiy, Konstantin Yu.
3 García, Domingo
3 Goldstein, Myron
3 Hed, Lisa
3 Kalaj, David
3 Kayumov, Il’giz Rifatovich
3 Lappan, Peter A.
3 Li, Peijin
3 Li, Songxiao
3 Liu, Taishun
3 Mashreghi, Javad
3 Nieß, Markus
3 Prado-Bassas, José Antonio
3 Rasila, Antti
3 Schmieder, Gerald
3 Sharifi, Fatemeh
3 Wang, Jianfei
3 Zhu, Jianfeng
2 Abakumov, Evgeny V.
2 Abu-Muhanna, Yusuf
2 Ali, Rosihan Mohamed
2 Aron, Richard Martin
2 Baranov, Anton D.
2 Bisi, Cinzia
2 Blanchet, Pierre
2 Bonilla, Antonio
2 Castillo-Medina, Jaime
2 Efraimidis, Iason
2 Enciso, Alberto
2 Fariña, Juan Carlos
2 Golitsyna, Mayya
2 Grosse-Erdmann, Karl-Goswin
2 Khavin, Viktor Petrovich
2 Hengartner, Walter
2 Hernández, Rodrigo
2 Honda, Tatsuhiro
2 Jupiter, Daniel C.
2 Kanas, Stanisława R.
2 Khabibullin, Bulat Nurmievich
2 Khalfallah, Adel
2 Kobayashi, Shoji
2 Liu, Zhenxing
2 Luo, Lifang
2 Luo, Xi
2 Maharana, Sudhananda
2 Mhamdi, Mohamed
2 Mortini, Raymond
2 Nikolov, Nikolai Marinov
2 Ow, Wellington Ham
2 Pavićević, Žarko
2 Peralta-Salas, Daniel
2 Persson, Hakan
2 Pflug, Peter
2 Pouryayevali, Mohamad Reza
2 Ramos-Fernández, Julio C.
2 Schippers, Eric D.
2 Sevilla-Peris, Pablo
2 Starkov, Victor V.
2 Staubach, Wolfgang
2 Tarkhanov, Nikolai N.
2 Veronelli, Giona
...and 224 more Authors
all top 5

Cited in 110 Serials

33 Journal of Mathematical Analysis and Applications
20 Computational Methods and Function Theory
18 Complex Variables and Elliptic Equations
15 Journal of Approximation Theory
14 Journal d’Analyse Mathématique
14 Proceedings of the American Mathematical Society
13 Monatshefte für Mathematik
13 Complex Analysis and Operator Theory
11 Transactions of the American Mathematical Society
7 Mathematische Annalen
5 Nagoya Mathematical Journal
5 The Journal of Geometric Analysis
5 Proceedings of the Steklov Institute of Mathematics
5 Analysis and Mathematical Physics
4 Applied Mathematics and Computation
4 Science in China. Series A
4 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
4 Abstract and Applied Analysis
3 Ukrainian Mathematical Journal
3 Arkiv för Matematik
3 Advances in Mathematics
3 Archiv der Mathematik
3 Journal of Functional Analysis
3 Michigan Mathematical Journal
3 Results in Mathematics
3 Topology and its Applications
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Mathematical Sciences (New York)
3 Bulletin des Sciences Mathématiques
3 Analysis (München)
3 Acta Mathematica Sinica. English Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Mediterranean Journal of Mathematics
2 Bulletin of the Australian Mathematical Society
2 Computers & Mathematics with Applications
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Studia Mathematica
2 Annales de l’Institut Fourier
2 Illinois Journal of Mathematics
2 Journal of Number Theory
2 Manuscripta Mathematica
2 Mathematische Nachrichten
2 Mathematische Zeitschrift
2 Constructive Approximation
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
2 Potential Analysis
2 St. Petersburg Mathematical Journal
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Journal of the Australian Mathematical Society
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Science China. Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Annales Mathématiques du Québec
2 Complex Analysis and its Synergies
1 Applicable Analysis
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 The Mathematical Intelligencer
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Polonici Mathematici
1 Bulletin of the London Mathematical Society
1 Canadian Mathematical Bulletin
1 Colloquium Mathematicum
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Integral Equations and Operator Theory
1 Journal of Differential Equations
1 Journal für die Reine und Angewandte Mathematik
1 Journal of Soviet Mathematics
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Real Analysis Exchange
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 SIAM Journal on Numerical Analysis
1 Siberian Mathematical Journal
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Journal of Economics
1 Revista Matemática Iberoamericana
1 Publicacions Matemàtiques
1 International Journal of Mathematics
1 Differential Geometry and its Applications
1 IMRN. International Mathematics Research Notices
1 Communications in Partial Differential Equations
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Indagationes Mathematicae. New Series
1 Russian Mathematics
1 Calculus of Variations and Partial Differential Equations
1 Turkish Journal of Mathematics
1 Filomat
1 Izvestiya: Mathematics
1 Taiwanese Journal of Mathematics
1 Journal of Inequalities and Applications
1 Revista Matemática Complutense
1 Annals of Mathematics. Second Series
1 Communications of the Korean Mathematical Society
1 Lobachevskii Journal of Mathematics
...and 10 more Serials

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