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## Alexander, Herbert J.

Compute Distance To:
 Author ID: alexander.herbert-j Published as: Alexander, H.; Alexander, Herbert; Alexander, Herbert J.
 Documents Indexed: 62 Publications since 1969, including 1 Book
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#### Co-Authors

 47 single-authored 7 Wermer, John 3 Taylor, Bert Alan 2 Osserman, Robert 1 Bruna Floris, Joaquim 1 Hoffman, David A. 1 Korevaar, Jacob 1 Stout, Edgar Lee 1 Ullman, Joseph L. 1 Williams, David L.
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#### Serials

 6 Proceedings of the American Mathematical Society 4 Mathematische Annalen 4 Michigan Mathematical Journal 3 American Journal of Mathematics 3 Duke Mathematical Journal 3 Pacific Journal of Mathematics 2 Bulletin of the London Mathematical Society 2 Inventiones Mathematicae 2 Transactions of the American Mathematical Society 2 Annals of Mathematics. Second Series 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Arkiv för Matematik 1 Annales de l’Institut Fourier 1 Annales Polonici Mathematici 1 Bulletin de la Société Mathématique de France 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal of Functional Analysis 1 Journal of the London Mathematical Society. Second Series 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Complex Variables. Theory and Application 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 New Zealand Journal of Mathematics 1 Bulletin of the American Mathematical Society 1 Graduate Texts in Mathematics
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#### Fields

 54 Several complex variables and analytic spaces (32-XX) 13 Functions of a complex variable (30-XX) 7 Potential theory (31-XX) 5 Functional analysis (46-XX) 4 Differential geometry (53-XX) 3 Convex and discrete geometry (52-XX) 2 Measure and integration (28-XX) 2 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

50 Publications have been cited 484 times in 400 Documents Cited by Year
Proper holomorphic mappings in $$\mathbb{C}^n$$. Zbl 0391.32015
Alexander, H.
1977
Holomorphic mappings from the ball and polydisc. Zbl 0272.32006
Alexander, H.
1974
Several complex variables and Banach algebras. 3rd ed. Zbl 0894.46037
Alexander, Herbert; Wermer, John
1998
Polynomial approximation and hulls in sets of finite linear measure in $$C^ n$$. Zbl 0221.32011
Alexander, H.
1971
Comparison of two capacities in $${\mathbb{C}}^ n$$. Zbl 0576.32029
Alexander, Herbert J.; Taylor, B. A.
1984
Polynomial hulls with convex fibers. Zbl 0538.32011
Alexander, Herbert; Wermer, John
1985
Areas of projections of analytic sets. Zbl 0238.32007
Alexander, H.; Taylor, B. A.; Ullman, J. L.
1972
Explicit imbedding of the (punctured) disc into $$\mathbb{C}^2$$. Zbl 0376.32011
Alexander, H.
1977
Projections of polynomial hulls. Zbl 0256.32009
Alexander, H.
1973
The interpolating sets for $$A^ \infty$$. Zbl 0228.46051
Alexander, H.; Taylor, B. A.; Williams, D. L.
1971
Continuing 1-dimensional analytic sets. Zbl 0211.10204
Alexander, H.
1971
Linking numbers and boundaries of varieties. Zbl 1013.32007
Alexander, H.; Wermer, John
2000
Extremal holomorphic imbeddings between the ball and polydisc. Zbl 0379.32022
Alexander, H.
1978
Boundary behavior of certain holomorphic maps. Zbl 0735.32005
Alexander, H.
1991
Polynomial approximation and analytic structure. Zbl 0227.46057
Alexander, H.
1971
A note on polynomial hulls. Zbl 0239.32013
Alexander, H.
1972
Holomorphic chains and the support hypothesis conjecture. Zbl 0870.32003
Alexander, H.
1997
A weak Hopf lemma for holomorphic mappings. Zbl 0840.30018
Alexander, H.
1995
Gromov’s method and Bennequin’s problem. Zbl 0853.32003
Alexander, H.
1996
Area bounds for various classes of surfaces. Zbl 0326.53030
Alexander, H.; Osserman, R.
1975
The polynomial hull of a rectifiable curve in $${\mathbb{C}}^ n$$. Zbl 0659.32017
Alexander, H.
1988
Extending bounded holomorphic functions from certain subvarieties of a polydisc. Zbl 0179.12101
Alexander, H.
1969
A Carleman theorem for curves in $$C^ n$$. Zbl 0454.32012
Alexander, H.
1979
Hulls of deformations in $$C^ n$$. Zbl 0493.32017
Alexander, H.
1981
Hulls of subsets of the torus in $$\mathbb{C}^2$$. Zbl 0910.32013
Alexander, Herbert
1998
Polynomial hulls of graphs. Zbl 0667.32011
Alexander, H.
1991
The polynomial hull of a set of finite linear measure in $${\mathbb{C}}^ n$$. Zbl 0615.32009
Alexander, H.
1986
Area estimates for submanifolds of euclidean space. Zbl 0326.53029
Alexander, H.; Hoffman, D.; Osserman, R.
1974
On the approximation of singularity sets by analytic varieties. Zbl 0543.32005
Alexander, Herbert; Wermer, John
1983
Linking and holomorphic hulls. Zbl 0792.32010
Alexander, H.
1993
A note on hulls. Zbl 0668.32015
Alexander, H.; Stout, Edgar Lee
1990
On the approximation of singularity sets by analytic varieties. II. Zbl 0578.32021
Alexander, H.; Wermer, John
1985
Volumes of images of varieties in projective space and in Grassmannians. Zbl 0285.32008
Alexander, H.
1974
Projective capacity. Zbl 0494.32001
Alexander, H.
1981
A note on projective capacity. Zbl 0522.32013
Alexander, H.
1982
Disks with boundaries in totally real and Lagrangian manifolds. Zbl 0953.32026
Alexander, H.
1999
On the totally real spheres of Ahern and Rudin and Weinstein. Zbl 0772.32015
Alexander, H.
1992
Ends of varieties. Zbl 0783.32004
Alexander, H.
1992
Polynomial hulls of sets with intervals as fibers. Zbl 0673.32017
Alexander, H.; Wermer, John
1989
Uniform algebras on curves. Zbl 0184.17202
Alexander, H.
1969
Structure of certain polynomial hulls. Zbl 0376.32012
Alexander, H.
1977
On the area of the spectrum of an element of a uniform algebra. Zbl 0466.32009
Alexander, H.
1980
On a minimum principle in several complex variables. Zbl 0471.32004
Alexander, H.
1981
Polynomial hulls of sets in $$\mathbb{C}^ 3$$ fibered over the unit circle. Zbl 0868.32017
Alexander, H.
1996
Pluriharmonic interpolation and hulls of $$C^ 1$$ curves in the unit sphere. Zbl 0842.31008
Alexander, Herbert; Bruna, Joaquim
1995
On a problem of Julia. Zbl 0331.32001
Alexander, H.
1975
Quasi-isoperimetric inequality for polynomial hulls. Zbl 0794.32017
Alexander, H.
1993
Remark on a lemma of Pommerenke. Zbl 0664.30032
Alexander, H.
1988
Envelopes of holomorphy and polynomial hulls. Zbl 0686.32010
Alexander, H.; Wermer, J.
1988
Linear measure on plane continua of finite linear measure. Zbl 0687.30009
Alexander, H.
1989
Linking numbers and boundaries of varieties. Zbl 1013.32007
Alexander, H.; Wermer, John
2000
Disks with boundaries in totally real and Lagrangian manifolds. Zbl 0953.32026
Alexander, H.
1999
Several complex variables and Banach algebras. 3rd ed. Zbl 0894.46037
Alexander, Herbert; Wermer, John
1998
Hulls of subsets of the torus in $$\mathbb{C}^2$$. Zbl 0910.32013
Alexander, Herbert
1998
Holomorphic chains and the support hypothesis conjecture. Zbl 0870.32003
Alexander, H.
1997
Gromov’s method and Bennequin’s problem. Zbl 0853.32003
Alexander, H.
1996
Polynomial hulls of sets in $$\mathbb{C}^ 3$$ fibered over the unit circle. Zbl 0868.32017
Alexander, H.
1996
A weak Hopf lemma for holomorphic mappings. Zbl 0840.30018
Alexander, H.
1995
Pluriharmonic interpolation and hulls of $$C^ 1$$ curves in the unit sphere. Zbl 0842.31008
Alexander, Herbert; Bruna, Joaquim
1995
Linking and holomorphic hulls. Zbl 0792.32010
Alexander, H.
1993
Quasi-isoperimetric inequality for polynomial hulls. Zbl 0794.32017
Alexander, H.
1993
On the totally real spheres of Ahern and Rudin and Weinstein. Zbl 0772.32015
Alexander, H.
1992
Ends of varieties. Zbl 0783.32004
Alexander, H.
1992
Boundary behavior of certain holomorphic maps. Zbl 0735.32005
Alexander, H.
1991
Polynomial hulls of graphs. Zbl 0667.32011
Alexander, H.
1991
A note on hulls. Zbl 0668.32015
Alexander, H.; Stout, Edgar Lee
1990
Polynomial hulls of sets with intervals as fibers. Zbl 0673.32017
Alexander, H.; Wermer, John
1989
Linear measure on plane continua of finite linear measure. Zbl 0687.30009
Alexander, H.
1989
The polynomial hull of a rectifiable curve in $${\mathbb{C}}^ n$$. Zbl 0659.32017
Alexander, H.
1988
Remark on a lemma of Pommerenke. Zbl 0664.30032
Alexander, H.
1988
Envelopes of holomorphy and polynomial hulls. Zbl 0686.32010
Alexander, H.; Wermer, J.
1988
The polynomial hull of a set of finite linear measure in $${\mathbb{C}}^ n$$. Zbl 0615.32009
Alexander, H.
1986
Polynomial hulls with convex fibers. Zbl 0538.32011
Alexander, Herbert; Wermer, John
1985
On the approximation of singularity sets by analytic varieties. II. Zbl 0578.32021
Alexander, H.; Wermer, John
1985
Comparison of two capacities in $${\mathbb{C}}^ n$$. Zbl 0576.32029
Alexander, Herbert J.; Taylor, B. A.
1984
On the approximation of singularity sets by analytic varieties. Zbl 0543.32005
Alexander, Herbert; Wermer, John
1983
A note on projective capacity. Zbl 0522.32013
Alexander, H.
1982
Hulls of deformations in $$C^ n$$. Zbl 0493.32017
Alexander, H.
1981
Projective capacity. Zbl 0494.32001
Alexander, H.
1981
On a minimum principle in several complex variables. Zbl 0471.32004
Alexander, H.
1981
On the area of the spectrum of an element of a uniform algebra. Zbl 0466.32009
Alexander, H.
1980
A Carleman theorem for curves in $$C^ n$$. Zbl 0454.32012
Alexander, H.
1979
Extremal holomorphic imbeddings between the ball and polydisc. Zbl 0379.32022
Alexander, H.
1978
Proper holomorphic mappings in $$\mathbb{C}^n$$. Zbl 0391.32015
Alexander, H.
1977
Explicit imbedding of the (punctured) disc into $$\mathbb{C}^2$$. Zbl 0376.32011
Alexander, H.
1977
Structure of certain polynomial hulls. Zbl 0376.32012
Alexander, H.
1977
Area bounds for various classes of surfaces. Zbl 0326.53030
Alexander, H.; Osserman, R.
1975
On a problem of Julia. Zbl 0331.32001
Alexander, H.
1975
Holomorphic mappings from the ball and polydisc. Zbl 0272.32006
Alexander, H.
1974
Area estimates for submanifolds of euclidean space. Zbl 0326.53029
Alexander, H.; Hoffman, D.; Osserman, R.
1974
Volumes of images of varieties in projective space and in Grassmannians. Zbl 0285.32008
Alexander, H.
1974
Projections of polynomial hulls. Zbl 0256.32009
Alexander, H.
1973
Areas of projections of analytic sets. Zbl 0238.32007
Alexander, H.; Taylor, B. A.; Ullman, J. L.
1972
A note on polynomial hulls. Zbl 0239.32013
Alexander, H.
1972
Polynomial approximation and hulls in sets of finite linear measure in $$C^ n$$. Zbl 0221.32011
Alexander, H.
1971
The interpolating sets for $$A^ \infty$$. Zbl 0228.46051
Alexander, H.; Taylor, B. A.; Williams, D. L.
1971
Continuing 1-dimensional analytic sets. Zbl 0211.10204
Alexander, H.
1971
Polynomial approximation and analytic structure. Zbl 0227.46057
Alexander, H.
1971
Extending bounded holomorphic functions from certain subvarieties of a polydisc. Zbl 0179.12101
Alexander, H.
1969
Uniform algebras on curves. Zbl 0184.17202
Alexander, H.
1969
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#### Cited by 350 Authors

 14 Alexander, Herbert J. 12 Izzo, Alexander John 11 Forstnerič, Franc 10 Wold, Erlend Fornæss 9 Slodkowski, Zbigniew 8 Sukhov, Alexandre B. 8 Tien Cuong Dinh 7 Huang, Xiaojun 7 Khavinson, Dmitry S. 6 Černe, Miran 6 Globevnik, Josip 6 Pan, Yifei 6 Shafikov, Rasul Gazimovich 6 Stout, Edgar Lee 6 Zeriahi, Ahmed 5 Bedford, Eric 5 Brudnyi, Alexander 5 Chen, Zhihua 5 Fornæss, John Erik 5 Kołodziej, Sławomir 5 Sibony, Nessim 5 Tu, Zhenhan 5 Verma, Kaushal 5 Wermer, John 5 Zaitsev, Dmitri 4 Anderson, John T. 4 Baouendi, Mohammed Salah 4 Berteloot, François 4 Cima, Joseph A. 4 Duval, Julien 4 Gupta, Purvi 4 Kodama, Akio 4 Krantz, Steven George 4 Landucci, Mario 4 Seo, Aeryeong 4 Xiao, Ming 4 Yuan, Yuan 3 Agranovsky, Mark L. 3 Bassanelli, Giovanni 3 Berhanu, Shiferaw 3 Bruna Floris, Joaquim 3 Cegrell, Urban 3 Chaumat, Jacques 3 Chollet, Anne-Marie 3 D’Angelo, John P. 3 Diederich, Klas 3 Doubtsov, Evgueni Sergeevich 3 Fridman, Buma L. 3 Guedj, Vincent 3 Hamada, Hidetaka 3 Khavin, Viktor Petrovich 3 Jöricke, Burglind 3 Kim, Sung-Yeon 3 Liu, Yang 3 Ng, SuiChung 3 Nguyen Quang Dieu 3 Rosay, Jean-Pierre 3 Rothschild, Linda Preiss 3 Selvaggi Primicerio, Angela 3 Shcherbina, Nikolay 3 Suffridge, Ted J. 3 Taylor, Bert Alan 3 Wang, Lei 3 Yin, Wanke 3 Yomdin, Yosef 2 Abakumov, Evgeny V. 2 Alarcón, Antonio 2 Axler, Sheldon Jay 2 Bell, Steven R. 2 Chakrabarti, Debraj 2 Chirka, Evgeni M. 2 Citti, Giovanna 2 Coupet, Bernard 2 Dini, Gilberto 2 Downum, Philip B. 2 Dragomir, Sorin 2 Ebenfelt, Peter 2 Fleeman, Matthew C. 2 Gauthier, Paul M. 2 Ghergu, Marius 2 Ghosh, Swarup Narayan 2 Isaev, Alexander 2 Ji, Shanyu 2 Kaup, Wilhelm Gerhard 2 Khenkin, Gennadiĭ Markovich 2 Kieu Phuong Chi 2 Kutzschebauch, Frank 2 Lebl, Jiří 2 Levenberg, Norman jun. 2 Lin, Enbing 2 Lindberg, John A. jun. 2 Lupacciolu, Guido 2 Mahajan, Prachi 2 Mok, Ngaiming 2 Opshtein, Emmanuel 2 Osserman, Robert 2 Putinar, Mihai 2 Rong, Feng 2 Rudin, Walter 2 Saracco, Alberto ...and 250 more Authors
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#### Cited in 90 Serials

 41 Proceedings of the American Mathematical Society 29 Mathematische Annalen 27 The Journal of Geometric Analysis 19 Transactions of the American Mathematical Society 15 Annales de l’Institut Fourier 15 Mathematische Zeitschrift 13 Journal of Mathematical Analysis and Applications 11 Arkiv för Matematik 11 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 10 Duke Mathematical Journal 10 Journal of Functional Analysis 10 Michigan Mathematical Journal 8 Advances in Mathematics 8 Journal of Soviet Mathematics 7 Journal d’Analyse Mathématique 7 Acta Mathematica 6 International Journal of Mathematics 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Mathematical Notes 4 Bulletin de la Société Mathématique de France 4 Inventiones Mathematicae 4 Journal für die Reine und Angewandte Mathematik 4 Journal of the American Mathematical Society 4 Bulletin of the American Mathematical Society. New Series 4 Indagationes Mathematicae. New Series 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Computational Methods and Function Theory 4 Proceedings of the Steklov Institute of Mathematics 3 Bulletin of the Australian Mathematical Society 3 Rocky Mountain Journal of Mathematics 3 Indiana University Mathematics Journal 3 Geometric and Functional Analysis. GAFA 3 Communications in Partial Differential Equations 3 Bulletin des Sciences Mathématiques 3 Journal of the European Mathematical Society (JEMS) 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Analysis and Mathematical Physics 2 Israel Journal of Mathematics 2 Archiv der Mathematik 2 Colloquium Mathematicum 2 Illinois Journal of Mathematics 2 Kodai Mathematical Journal 2 Manuscripta Mathematica 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Rendiconti del Seminario Matematico della Università di Padova 2 Siberian Mathematical Journal 2 Chinese Annals of Mathematics. Series B 2 Revista Matemática Iberoamericana 2 Science in China. Series A 2 Complex Variables and Elliptic Equations 2 Complex Analysis and Operator Theory 2 Complex Manifolds 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Reports on Mathematical Physics 1 Studia Mathematica 1 Acta Mathematica Vietnamica 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Geometriae Dedicata 1 Publications Mathématiques 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Journal of Differential Equations 1 Journal of the Mathematical Society of Japan 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the Japan Academy. Series A 1 Ricerche di Matematica 1 Tohoku Mathematical Journal. Second Series 1 Topology and its Applications 1 Ergodic Theory and Dynamical Systems 1 Constructive Approximation 1 Forum Mathematicum 1 Linear Algebra and its Applications 1 Kyushu Journal of Mathematics 1 Positivity 1 Taiwanese Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Qualitative Theory of Dynamical Systems 1 Foundations of Computational Mathematics 1 Journal of the Australian Mathematical Society 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Bulletin of the American Mathematical Society 1 Arnold Mathematical Journal 1 Journal of Siberian Federal University. Mathematics & Physics
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#### Cited in 36 Fields

 310 Several complex variables and analytic spaces (32-XX) 78 Functions of a complex variable (30-XX) 48 Functional analysis (46-XX) 28 Differential geometry (53-XX) 25 Potential theory (31-XX) 15 Operator theory (47-XX) 14 Partial differential equations (35-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Approximations and expansions (41-XX) 13 Algebraic geometry (14-XX) 9 Global analysis, analysis on manifolds (58-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Manifolds and cell complexes (57-XX) 4 Ordinary differential equations (34-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 3 Abstract harmonic analysis (43-XX) 3 Convex and discrete geometry (52-XX) 3 General topology (54-XX) 2 Number theory (11-XX) 2 Group theory and generalizations (20-XX) 2 Measure and integration (28-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Operations research, mathematical programming (90-XX)