## Gardiner, Stephen J.

Compute Distance To:
 Author ID: gardiner.stephen-j Published as: Gardiner, Stephen J.; Gardiner, S. J. Homepage: http://maths.ucd.ie/~sjg/ External Links: MGP · ORCID
 Documents Indexed: 121 Publications since 1981, including 2 Books 1 Further Contribution Reviewing Activity: 348 Reviews Co-Authors: 21 Co-Authors with 54 Joint Publications 363 Co-Co-Authors
all top 5

### Co-Authors

 68 single-authored 13 Sjödin, Tomas 11 Armitage, David H. 6 Render, Hermann 4 Manolaki, Myrto 3 Ghergu, Marius 3 Goldstein, Myron 3 Haußmann, Werner 3 Netuka, Ivan 3 Rogge, Lothar 2 GowriSankaran, Kohur N. 2 Gustafsson, Anders 2 Hansen, Wolfhard 2 Pommerenke, Christian 1 Aikawa, Hiroaki 1 Carroll, Tom 1 Eremenko, Alexandre Émmanuilovich 1 Essén, Matts Raguel 1 Hanley, Mary 1 Hayman, Walter Kurt 1 Holland, Finbarr 1 Khavinson, Dmitry S. 1 Klimek, Maciej 1 Lingham, Eleanor F. 1 Pau, Jordi 1 Rippon, Philip Jonathan 1 Rovnyak, James 1 Sixsmith, David Jonathan 1 Sons, Linda R. 1 Tsirivas, Nikolaos
all top 5

### Serials

 16 Proceedings of the American Mathematical Society 14 Bulletin of the London Mathematical Society 5 Journal d’Analyse Mathématique 5 Journal of Mathematical Analysis and Applications 5 Journal of the London Mathematical Society. Second Series 4 Constructive Approximation 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Arkiv för Matematik 3 Indiana University Mathematics Journal 3 Irish Mathematical Society Bulletin 3 Potential Analysis 2 Advances in Mathematics 2 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 2 Annales de l’Institut Fourier 2 Illinois Journal of Mathematics 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Transactions of the American Mathematical Society 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Computational Methods and Function Theory 2 Analysis and Mathematical Physics 1 Archive for Rational Mechanics and Analysis 1 Israel Journal of Mathematics 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Compositio Mathematica 1 Hiroshima Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematica Scandinavica 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 Mathematica Bohemica 1 Elemente der Mathematik 1 Proceedings of the Royal Irish Academy. Section A, Mathematical and Physical Sciences 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 London Mathematical Society Lecture Note Series 1 Springer Monographs in Mathematics 1 Problem Books in Mathematics 1 Annales Fennici Mathematici
all top 5

### Fields

 116 Potential theory (31-XX) 25 Functions of a complex variable (30-XX) 23 Approximations and expansions (41-XX) 2 Partial differential equations (35-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Fluid mechanics (76-XX)

### Citations contained in zbMATH Open

76 Publications have been cited 518 times in 368 Documents Cited by Year
Classical potential theory. Zbl 0972.31001
Armitage, David H.; Gardiner, Stephen J.
2001
Harmonic approximation. Zbl 0826.31002
Gardiner, Stephen J.
1995
Growth properties of $$p$$th means of potentials in the unit ball. Zbl 0672.31005
Gardiner, S. J.
1988
Universal Taylor series, conformal mappings and boundary behaviour. (Séries de Taylor universelles, transformations conformes et comportement à la frontière.) Zbl 1310.30050
Gardiner, Stephen J.
2014
Universal Taylor series for non-simply connected domains. Zbl 1201.30074
Gardiner, Stephen J.; Tsirivas, Nikolaos
2010
Conditions for separately subharmonic functions to be subharmonic. Zbl 0788.31005
Armitage, D. H.; Gardiner, Stephen J.
1993
Superharmonic extension and harmonic approximation. Zbl 0795.31004
Gardiner, Stephen J.
1994
Boundary behaviour of functions which possess universal Taylor series. Zbl 1272.30081
Gardiner, Stephen J.
2013
A convergence theorem for harmonic measures with applications to Taylor series. Zbl 1348.30005
Gardiner, Stephen J.; Manolaki, Myrto
2016
Champagne subregions of the unit ball with unavoidable bubbles. Zbl 1203.31007
Gardiner, Stephen J.; Ghergu, Marius
2010
Boundary behaviour of universal Taylor series. (Comportement à la frontière des séries de Taylor universelles.) Zbl 1297.30083
Gardiner, Stephen J.; Khavinson, Dmitry
2014
Existence of universal Taylor series for nonsimply connected domains. Zbl 1266.30002
Gardiner, Stephen J.
2012
The Dirichlet and Neumann problems for harmonic functions in half-spaces. Zbl 0445.31008
Gardiner, S. J.
1981
Research problems in function theory. Fiftieth anniversary edition. Updated and expanded edition of the 1967 original published by The Athlone Press. Zbl 1455.30002
Hayman, Walter K.; Lingham, Eleanor F.
2019
The Martin boundary of NTA strips. Zbl 0668.31003
Gardiner, Stephen J.
1990
Gardiner, Stephen J.; Sjödin, Tomas
2012
Boundary behaviour of Dirichlet series with applications to universal series. Zbl 1361.30005
Gardiner, Stephen J.; Manolaki, Myrto
2016
Harmonic functions which vanish on a cylindrical surface. Zbl 1327.31012
Gardiner, Stephen J.; Render, Hermann
2016
A reflection result for harmonic functions which vanish on a cylindrical surface. Zbl 1367.31006
Gardiner, Stephen J.; Render, Hermann
2016
Minimal harmonic functions on Denjoy domains. Zbl 0699.31005
Gardiner, Stephen J.
1989
The Dirichlet problem with non-compact boundary. Zbl 0789.31006
Gardiner, Stephen J.
1993
Global approximation in harmonic spaces. Zbl 0809.31006
Gardiner, Stephen J.; Goldstein, Myron; Gowrisankaran, Kohur
1994
Lipschitz continuity of the Green function in denjoy domains. Zbl 1146.31005
Carroll, Tom; Gardiner, Stephen J.
2008
Characterization of best harmonic and superharmonic $$L^ 1$$-approximants. Zbl 0853.31002
Armitage, David H.; Gardiner, Stephen J.; Haussmann, Werner; Rogge, Lothar
1996
Potential theory of the farthest point distance function. Zbl 1134.31001
Gardiner, Stephen J.; Netuka, Ivan
2007
The Riesz decomposition of finely superharmonic functions. Zbl 1147.31003
Gardiner, Stephen J.; Hansen, Wolfhard
2007
A short proof of Burdzy’s theorem on the angular derivative. Zbl 0718.31005
Gardiner, Stephen J.
1991
Sets of determination for harmonic functions. Zbl 0780.31002
Gardiner, Stephen J.
1993
The growth of the hyperplane mean of a subharmonic function. Zbl 0601.31002
Armitage, D. H.; Gardiner, Stephen J.
1987
Convexity and the exterior inverse problem of potential theory. Zbl 1138.31003
Gardiner, Stephen J.; Sjödin, Tomas
2008
Boundary behaviour of universal Taylor series on multiply connected domains. Zbl 1316.30052
Gardiner, Stephen J.; Manolaki, Myrto
2014
Representation and growth of subharmonic functions in half-spaces. Zbl 0506.31002
Gardiner, S. J.
1984
Partial balayage and the exterior inverse problem of potential theory. Zbl 1199.31009
Gardiner, Stephen J.; Sjödin, Tomas
2008
Removable singularities for subharmonic functions. Zbl 0663.31004
Gardiner, Stephen J.
1991
Balayage properties related to rational interpolation. Zbl 1025.30024
Gardiner, Stephen J.; Pommerenke, Christian
2002
Integrals of subharmonic functions over affine sets. Zbl 0596.31003
Gardiner, S. J.
1987
Equilibrium measure characterization of circles. Zbl 1007.31001
Gardiner, Stephen J.
2002
Taylor series, universality and potential theory. Zbl 1432.30045
Gardiner, Stephen J.
2018
Best one-sided $$L^1$$-approximation by harmonic and subharmonic functions. Zbl 0973.41012
Armitage, David H.; Gardiner, Stephen J.
1999
Harmonic approximation and boundary behaviour. Zbl 0890.31003
Gardiner, S. J.
1997
The Lusin-Privalov theorem for subharmonic functions. Zbl 0868.31006
Gardiner, Stephen J.
1996
Carleman approximation by harmonic functions. Zbl 0820.31003
Gardiner, Stephen J.; Goldstein, Myron
1995
Pointwise convergence and radial limits of harmonic functions. Zbl 1082.31001
Gardiner, Stephen J.; Gustafsson, Anders
2005
Smooth potentials with prescribed boundary behaviour. Zbl 1047.31005
Gardiner, Stephen J.; Gustafsson, Anders
2004
Convexity and subsolutions of partial differential equations. Zbl 0562.31014
Gardiner, S. J.; Klimek, M.
1986
Half-spherical means and boundary behaviour of subharmonic functions in half-spaces. Zbl 0571.31002
Gardiner, Stephen J.
1983
A maximum principle and results on potentials. Zbl 0582.31005
Gardiner, S. J.
1985
Quadrature domains and their two-phase counterparts. Zbl 1345.31008
Gardiner, Stephen J.; Sjödin, Tomas
2014
Asymptotic maximum principles for subharmonic functions. Zbl 1172.31004
Gardiner, Stephen J.
2008
Harmonic majorization of subharmonic functions in unbounded domains. Zbl 0487.31002
Gardiner, S. J.
1983
A characterization of annular domains by quadrature identities. Zbl 1426.31006
Gardiner, Stephen J.; Sjödin, Tomas
2019
Harmonic functions which vanish on coaxial cylinders. Zbl 1435.31005
Gardiner, Stephen J.; Render, Hermann
2019
Growth properties of superharmonic functions along rays. Zbl 0945.31002
Gardiner, Stephen J.
2000
Representation of continuous functions as sums of Green functions. Zbl 0847.31002
Gardiner, Stephen J.
1996
Uniform harmonic approximation with continuous extension to the boundary. Zbl 0857.31003
Gardiner, Stephen J.
1996
Decomposition of approximable harmonic functions. Zbl 0876.31005
Gardiner, Stephen J.
1997
Tangential approximation in harmonic spaces. Zbl 0817.31005
Gardiner, Stephen J.; Goldstein, Myron; GowriSankaran, Kohur
1994
Sets of harmonicity for finely harmonic functions. Zbl 1057.31006
Gardiner, Stephen J.
2004
Subharmonicity of mean values of subharmonic functions. Zbl 0623.31006
Gardiner, Stephen J.
1987
Generalized means of subharmonic functions. Zbl 0624.31001
Gardiner, Stephen J.
1986
Local growth properties of superharmonic functions. Zbl 0661.31008
Gardiner, Stephen J.
1990
Finely continuously differentiable functions. Zbl 1207.31007
Gardiner, Stephen J.
2010
Sets of determination for the Nevanlinna class. Zbl 1211.30065
Gardiner, Stephen J.
2010
Best one-sided $$L^1$$-approximation by harmonic functions. Zbl 0904.31002
Armitage, D. H.; Gardiner, S. J.; Haussmann, W.; Rogge, L.
1998
Mergelyan pairs for harmonic functions. Zbl 0915.31001
Gardiner, Stephen J.
1998
Quadrature domains for harmonic functions. Zbl 1132.31001
Gardiner, Stephen J.; Sjödin, Tomas
2007
The farthest point distance function. Zbl 1147.30300
Gardiner, Stephen J.; Netuka, Ivan
2007
Fine limits of superharmonic functions. Zbl 0715.31004
Gardiner, Stephen J.
1990
Maximum principles for subharmonic functions. Zbl 0731.31007
Gardiner, Stephen J.
1991
Potential theory in Denjoy domains. Zbl 1297.31009
Gardiner, Stephen J.; Sjödin, Tomas
2009
Subharmonicity, the distance function, and a-admissible sets. Zbl 0733.31003
Gardiner, Stephen J.
1991
Boundary sets where harmonic functions may become infinite. Zbl 1130.31300
Gardiner, Stephen J.; Hansen, Wolfhard
2002
Farrell sets for harmonic functions. Zbl 1014.31001
Gardiner, Stephen J.; Hanley, Mary
2003
Extension results for harmonic functions which vanish on cylindrical surfaces. Zbl 1405.31005
Gardiner, Stephen J.; Render, Hermann
2018
Analytic content and the isoperimetric inequality in higher dimensions. Zbl 1404.31007
Gardiner, Stephen J.; Ghergu, Marius; Sjödin, Tomas
2018
Harmonic extension from the exterior of a cylinder. Zbl 1462.31007
Gardiner, Stephen J.; Render, Hermann
2021
Harmonic extension from the exterior of a cylinder. Zbl 1462.31007
Gardiner, Stephen J.; Render, Hermann
2021
Research problems in function theory. Fiftieth anniversary edition. Updated and expanded edition of the 1967 original published by The Athlone Press. Zbl 1455.30002
Hayman, Walter K.; Lingham, Eleanor F.
2019
A characterization of annular domains by quadrature identities. Zbl 1426.31006
Gardiner, Stephen J.; Sjödin, Tomas
2019
Harmonic functions which vanish on coaxial cylinders. Zbl 1435.31005
Gardiner, Stephen J.; Render, Hermann
2019
Taylor series, universality and potential theory. Zbl 1432.30045
Gardiner, Stephen J.
2018
Extension results for harmonic functions which vanish on cylindrical surfaces. Zbl 1405.31005
Gardiner, Stephen J.; Render, Hermann
2018
Analytic content and the isoperimetric inequality in higher dimensions. Zbl 1404.31007
Gardiner, Stephen J.; Ghergu, Marius; Sjödin, Tomas
2018
A convergence theorem for harmonic measures with applications to Taylor series. Zbl 1348.30005
Gardiner, Stephen J.; Manolaki, Myrto
2016
Boundary behaviour of Dirichlet series with applications to universal series. Zbl 1361.30005
Gardiner, Stephen J.; Manolaki, Myrto
2016
Harmonic functions which vanish on a cylindrical surface. Zbl 1327.31012
Gardiner, Stephen J.; Render, Hermann
2016
A reflection result for harmonic functions which vanish on a cylindrical surface. Zbl 1367.31006
Gardiner, Stephen J.; Render, Hermann
2016
Universal Taylor series, conformal mappings and boundary behaviour. (Séries de Taylor universelles, transformations conformes et comportement à la frontière.) Zbl 1310.30050
Gardiner, Stephen J.
2014
Boundary behaviour of universal Taylor series. (Comportement à la frontière des séries de Taylor universelles.) Zbl 1297.30083
Gardiner, Stephen J.; Khavinson, Dmitry
2014
Boundary behaviour of universal Taylor series on multiply connected domains. Zbl 1316.30052
Gardiner, Stephen J.; Manolaki, Myrto
2014
Quadrature domains and their two-phase counterparts. Zbl 1345.31008
Gardiner, Stephen J.; Sjödin, Tomas
2014
Boundary behaviour of functions which possess universal Taylor series. Zbl 1272.30081
Gardiner, Stephen J.
2013
Existence of universal Taylor series for nonsimply connected domains. Zbl 1266.30002
Gardiner, Stephen J.
2012
Gardiner, Stephen J.; Sjödin, Tomas
2012
Universal Taylor series for non-simply connected domains. Zbl 1201.30074
Gardiner, Stephen J.; Tsirivas, Nikolaos
2010
Champagne subregions of the unit ball with unavoidable bubbles. Zbl 1203.31007
Gardiner, Stephen J.; Ghergu, Marius
2010
Finely continuously differentiable functions. Zbl 1207.31007
Gardiner, Stephen J.
2010
Sets of determination for the Nevanlinna class. Zbl 1211.30065
Gardiner, Stephen J.
2010
Potential theory in Denjoy domains. Zbl 1297.31009
Gardiner, Stephen J.; Sjödin, Tomas
2009
Lipschitz continuity of the Green function in denjoy domains. Zbl 1146.31005
Carroll, Tom; Gardiner, Stephen J.
2008
Convexity and the exterior inverse problem of potential theory. Zbl 1138.31003
Gardiner, Stephen J.; Sjödin, Tomas
2008
Partial balayage and the exterior inverse problem of potential theory. Zbl 1199.31009
Gardiner, Stephen J.; Sjödin, Tomas
2008
Asymptotic maximum principles for subharmonic functions. Zbl 1172.31004
Gardiner, Stephen J.
2008
Potential theory of the farthest point distance function. Zbl 1134.31001
Gardiner, Stephen J.; Netuka, Ivan
2007
The Riesz decomposition of finely superharmonic functions. Zbl 1147.31003
Gardiner, Stephen J.; Hansen, Wolfhard
2007
Quadrature domains for harmonic functions. Zbl 1132.31001
Gardiner, Stephen J.; Sjödin, Tomas
2007
The farthest point distance function. Zbl 1147.30300
Gardiner, Stephen J.; Netuka, Ivan
2007
Pointwise convergence and radial limits of harmonic functions. Zbl 1082.31001
Gardiner, Stephen J.; Gustafsson, Anders
2005
Smooth potentials with prescribed boundary behaviour. Zbl 1047.31005
Gardiner, Stephen J.; Gustafsson, Anders
2004
Sets of harmonicity for finely harmonic functions. Zbl 1057.31006
Gardiner, Stephen J.
2004
Farrell sets for harmonic functions. Zbl 1014.31001
Gardiner, Stephen J.; Hanley, Mary
2003
Balayage properties related to rational interpolation. Zbl 1025.30024
Gardiner, Stephen J.; Pommerenke, Christian
2002
Equilibrium measure characterization of circles. Zbl 1007.31001
Gardiner, Stephen J.
2002
Boundary sets where harmonic functions may become infinite. Zbl 1130.31300
Gardiner, Stephen J.; Hansen, Wolfhard
2002
Classical potential theory. Zbl 0972.31001
Armitage, David H.; Gardiner, Stephen J.
2001
Growth properties of superharmonic functions along rays. Zbl 0945.31002
Gardiner, Stephen J.
2000
Best one-sided $$L^1$$-approximation by harmonic and subharmonic functions. Zbl 0973.41012
Armitage, David H.; Gardiner, Stephen J.
1999
Best one-sided $$L^1$$-approximation by harmonic functions. Zbl 0904.31002
Armitage, D. H.; Gardiner, S. J.; Haussmann, W.; Rogge, L.
1998
Mergelyan pairs for harmonic functions. Zbl 0915.31001
Gardiner, Stephen J.
1998
Harmonic approximation and boundary behaviour. Zbl 0890.31003
Gardiner, S. J.
1997
Decomposition of approximable harmonic functions. Zbl 0876.31005
Gardiner, Stephen J.
1997
Characterization of best harmonic and superharmonic $$L^ 1$$-approximants. Zbl 0853.31002
Armitage, David H.; Gardiner, Stephen J.; Haussmann, Werner; Rogge, Lothar
1996
The Lusin-Privalov theorem for subharmonic functions. Zbl 0868.31006
Gardiner, Stephen J.
1996
Representation of continuous functions as sums of Green functions. Zbl 0847.31002
Gardiner, Stephen J.
1996
Uniform harmonic approximation with continuous extension to the boundary. Zbl 0857.31003
Gardiner, Stephen J.
1996
Harmonic approximation. Zbl 0826.31002
Gardiner, Stephen J.
1995
Carleman approximation by harmonic functions. Zbl 0820.31003
Gardiner, Stephen J.; Goldstein, Myron
1995
Superharmonic extension and harmonic approximation. Zbl 0795.31004
Gardiner, Stephen J.
1994
Global approximation in harmonic spaces. Zbl 0809.31006
Gardiner, Stephen J.; Goldstein, Myron; Gowrisankaran, Kohur
1994
Tangential approximation in harmonic spaces. Zbl 0817.31005
Gardiner, Stephen J.; Goldstein, Myron; GowriSankaran, Kohur
1994
Conditions for separately subharmonic functions to be subharmonic. Zbl 0788.31005
Armitage, D. H.; Gardiner, Stephen J.
1993
The Dirichlet problem with non-compact boundary. Zbl 0789.31006
Gardiner, Stephen J.
1993
Sets of determination for harmonic functions. Zbl 0780.31002
Gardiner, Stephen J.
1993
A short proof of Burdzy’s theorem on the angular derivative. Zbl 0718.31005
Gardiner, Stephen J.
1991
Removable singularities for subharmonic functions. Zbl 0663.31004
Gardiner, Stephen J.
1991
Maximum principles for subharmonic functions. Zbl 0731.31007
Gardiner, Stephen J.
1991
Subharmonicity, the distance function, and a-admissible sets. Zbl 0733.31003
Gardiner, Stephen J.
1991
The Martin boundary of NTA strips. Zbl 0668.31003
Gardiner, Stephen J.
1990
Local growth properties of superharmonic functions. Zbl 0661.31008
Gardiner, Stephen J.
1990
Fine limits of superharmonic functions. Zbl 0715.31004
Gardiner, Stephen J.
1990
Minimal harmonic functions on Denjoy domains. Zbl 0699.31005
Gardiner, Stephen J.
1989
Growth properties of $$p$$th means of potentials in the unit ball. Zbl 0672.31005
Gardiner, S. J.
1988
The growth of the hyperplane mean of a subharmonic function. Zbl 0601.31002
Armitage, D. H.; Gardiner, Stephen J.
1987
Integrals of subharmonic functions over affine sets. Zbl 0596.31003
Gardiner, S. J.
1987
Subharmonicity of mean values of subharmonic functions. Zbl 0623.31006
Gardiner, Stephen J.
1987
Convexity and subsolutions of partial differential equations. Zbl 0562.31014
Gardiner, S. J.; Klimek, M.
1986
Generalized means of subharmonic functions. Zbl 0624.31001
Gardiner, Stephen J.
1986
A maximum principle and results on potentials. Zbl 0582.31005
Gardiner, S. J.
1985
Representation and growth of subharmonic functions in half-spaces. Zbl 0506.31002
Gardiner, S. J.
1984
Half-spherical means and boundary behaviour of subharmonic functions in half-spaces. Zbl 0571.31002
Gardiner, Stephen J.
1983
Harmonic majorization of subharmonic functions in unbounded domains. Zbl 0487.31002
Gardiner, S. J.
1983
The Dirichlet and Neumann problems for harmonic functions in half-spaces. Zbl 0445.31008
Gardiner, S. J.
1981
all top 5

### Cited by 337 Authors

 48 Gardiner, Stephen J. 11 Hansen, Wolfhard 11 Render, Hermann 10 Netuka, Ivan 9 Armitage, David H. 9 Manolaki, Myrto 9 Mizuta, Yoshihiro 9 Sjödin, Tomas 7 Gauthier, Paul M. 7 Hirata, Kentaro 7 Pouliasis, Stamatis 7 Shimomura, Tetsu 6 Fuglede, Bent 6 Müller, Jürgen 6 Nestoridis, Vassili 6 Riihentaus, Juhani 6 Vondraček, Zoran 5 El Kadiri, Mohamed 5 Kaiser, Tobias 5 Totik, Vilmos 5 Tsirivas, Nikolaos 4 Andrievskii, Vladimir V. 4 Bonfiglioli, Andrea 4 Ghergu, Marius 4 Kim, Panki 4 Logunov, Alexander Andreevich 4 Lukes, Jaroslav 4 Mourgoglou, Mihalis 4 Ohno, Takao 4 Song, Renming 4 Spurný, Jiří 4 Watson, Neil A. 3 Åhag, Per 3 Azzam, Jonas 3 Beise, Hans-Peter 3 Betsakos, Dimitrios 3 Björn, Anders 3 Björn, Jana 3 Chyzhykov, Igor Elbertovych 3 Costakis, George 3 Czyż, Rafał 3 Golitsyna, Mayya 3 Khabibullin, Bulat Nurmievich 3 Mashreghi, Javad 3 Massaneda, Xavier 3 Meyrath, Thierry 3 Paramonov, Peter V. 3 Pritsker, Igor E. 3 Ransford, Thomas J. 3 Saff, Edward Barry 3 Simon, Barry 3 Stoll, Manfred 3 Thomas, Pascal J. 3 Tolsa, Xavier 3 Vlachou, Vagia 3 Wang, Lihe 3 Whitley, Robert J. 3 Zhou, Chunqin 3 Zribi, Malek 2 Aikawa, Hiroaki 2 Anandam, Victor 2 Battaglia, Erika 2 Bogdan, Krzysztof 2 Bonilla, Antonio 2 Bressan, Alberto 2 Carroll, Tom 2 Charpentier, Stéphane 2 Christiansen, Jacob Stordal 2 Cima, Joseph A. 2 Dryanov, Dimiter P. 2 El Mabrouk, Khalifa 2 Fedorovskiy, Konstantin Yu. 2 Gallagher, Anne-Katrin 2 Gallardo, Léonard 2 Goldstein, Myron 2 Gustafsson, Anders 2 Hed, Lisa 2 Hromadka, Theodore V. II 2 Huang, Jinjin 2 Ivanov, Kamen G. 2 Kawohl, Bernd 2 Keller, Matthias 2 Khavinson, Dmitry S. 2 Kounchev, Ognyan Ivanov 2 Kourou, Maria 2 Krantz, Steven George 2 Lanconelli, Ermanno 2 Mâagli, Habib 2 Malinnikova, Eugenia 2 Maronikolakis, Konstantinos 2 Medková, Dagmar 2 Mimica, Ante 2 Montaru, Alexandre 2 Mortini, Raymond 2 Mouze, Augustin 2 Murata, Minoru 2 Nevai, Paul G. 2 O’Donovan, Julie 2 Petrov, Petar P. 2 Petrushev, Pencho P. ...and 237 more Authors
all top 5

### Cited in 113 Serials

 34 Potential Analysis 30 Journal of Mathematical Analysis and Applications 23 Proceedings of the American Mathematical Society 15 Journal of Approximation Theory 11 Transactions of the American Mathematical Society 9 Computational Methods and Function Theory 9 Complex Variables and Elliptic Equations 8 Journal d’Analyse Mathématique 8 Advances in Mathematics 8 Journal of Differential Equations 8 Journal of Functional Analysis 6 Arkiv för Matematik 6 Mathematische Zeitschrift 6 Constructive Approximation 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Analysis and Mathematical Physics 5 Monatshefte für Mathematik 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 The Journal of Geometric Analysis 5 Annales Academiae Scientiarum Fennicae. Mathematica 4 Israel Journal of Mathematics 4 Annales de l’Institut Fourier 4 Archiv der Mathematik 4 Expositiones Mathematicae 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Studia Mathematica 3 Duke Mathematical Journal 3 Mathematische Annalen 3 Mathematische Nachrichten 3 Probability Theory and Related Fields 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Stochastic Processes and their Applications 3 Journal of Mathematical Sciences (New York) 3 Positivity 3 Journal of Inequalities and Applications 2 Analysis Mathematica 2 Archive for Rational Mechanics and Analysis 2 Bulletin of the Australian Mathematical Society 2 Bulletin of the London Mathematical Society 2 Czechoslovak Mathematical Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Michigan Mathematical Journal 2 Nagoya Mathematical Journal 2 Results in Mathematics 2 Numerical Methods for Partial Differential Equations 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Bulletin des Sciences Mathématiques 2 Abstract and Applied Analysis 2 Journal of the Australian Mathematical Society 2 Complex Analysis and Operator Theory 2 Complex Analysis and its Synergies 2 Annales Fennici Mathematici 1 American Mathematical Monthly 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Functional Analysis and its Applications 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of the Korean Mathematical Society 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 SIAM Journal on Numerical Analysis 1 Tôhoku Mathematical Journal. Second Series 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Annals of Pure and Applied Logic 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 European Journal of Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 1 SIAM Journal on Mathematical Analysis 1 Indagationes Mathematicae. New Series 1 New Zealand Journal of Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Calculus of Variations and Partial Differential Equations 1 Advances in Applied Clifford Algebras 1 Filomat 1 Engineering Analysis with Boundary Elements 1 Sbornik: Mathematics 1 Conformal Geometry and Dynamics 1 Matematychni Studiï 1 Journal of the European Mathematical Society (JEMS) 1 Communications in Contemporary Mathematics 1 Lobachevskii Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis ...and 13 more Serials
all top 5

### Cited in 41 Fields

 248 Potential theory (31-XX) 93 Functions of a complex variable (30-XX) 78 Partial differential equations (35-XX) 36 Several complex variables and analytic spaces (32-XX) 26 Approximations and expansions (41-XX) 26 Probability theory and stochastic processes (60-XX) 22 Functional analysis (46-XX) 14 Operator theory (47-XX) 11 Measure and integration (28-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 9 Real functions (26-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Numerical analysis (65-XX) 5 Fluid mechanics (76-XX) 4 Mathematical logic and foundations (03-XX) 4 Differential geometry (53-XX) 3 Combinatorics (05-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Geometry (51-XX) 3 Convex and discrete geometry (52-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Group theory and generalizations (20-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral transforms, operational calculus (44-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)