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Khavinson, Dmitry S.

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Author ID: khavinson.dmitry-s Recent zbMATH articles by "Khavinson, Dmitry S."
Published as: Khavinson, D.; Khavinson, Dimitry; Khavinson, Dmitry; Khavinson, Dmitry S.
Homepage: http://www.math.usf.edu/faculty/dkhavinson/
Documents Indexed: 114 Publications since 1982, including 8 Books
Reviewing Activity: 74 Reviews
Biographic References: 1 Publication
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Serials

6 Michigan Mathematical Journal
5 Proceedings of the American Mathematical Society
5 Complex Variables. Theory and Application
5 Computational Methods and Function Theory
4 Journal d’Analyse Mathématique
4 Canadian Mathematical Bulletin
4 Contemporary Mathematics
4 Complex Analysis and Operator Theory
3 Indiana University Mathematics Journal
3 Journal of Functional Analysis
3 Pacific Journal of Mathematics
3 Expositiones Mathematicae
3 Analysis and Mathematical Physics
2 American Mathematical Monthly
2 Arkiv för Matematik
2 The Mathematical Intelligencer
2 Journal of the London Mathematical Society. Second Series
2 Constructive Approximation
2 Revista Matemática Iberoamericana
2 Notices of the American Mathematical Society
2 Annales Academiae Scientiarum Fennicae. Mathematica
1 Archive for Rational Mechanics and Analysis
1 Houston Journal of Mathematics
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
1 Bulletin of the London Mathematical Society
1 Canadian Journal of Mathematics
1 Illinois Journal of Mathematics
1 Integral Equations and Operator Theory
1 Journal of Approximation Theory
1 The Quarterly Journal of Mathematics. Oxford Second Series
1 SIAM Review
1 Bulletin of the American Mathematical Society. New Series
1 Indagationes Mathematicae. New Series
1 Potential Analysis
1 Journal of Mathematical Sciences (New York)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Complex Variables and Elliptic Equations
1 Mathematical Surveys and Monographs
1 Complex Analysis and its Synergies
1 Operator Theory: Advances and Applications
1 Trends in Mathematics

Publications by Year

Citations contained in zbMATH Open

96 Publications have been cited 880 times in 542 Documents Cited by Year
Bohr’s power series theorem in several variables. Zbl 0888.32001
Boas, Harold P.; Khavinson, Dmitry
80
1997
Poincaré’s variational problem in potential theory. Zbl 1119.31001
Khavinson, Dmitry; Putinar, Mihai; Shapiro, Harold S.
50
2007
Remarks on the Bohr phenomenon. Zbl 1067.30094
Bénéteau, Catherine; Dahlner, Anders; Khavinson, Dmitry
43
2004
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
42
1993
On the number of zeros of certain rational harmonic functions. Zbl 1090.30008
Khavinson, Dmitry; Neumann, Genevra
33
2006
Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044
Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C.
29
1994
On the number of zeros of certain harmonic polynomials. Zbl 1034.30003
Khavinson, Dmitry; Świątek, Grzegorz
26
2003
Dirichlet’s problem when the data is an entire function. Zbl 0799.35030
Khavinson, Dmitry; Shapiro, Harold S.
25
1992
From the fundamental theorem of algebra to astrophysics: a “harmonious” path. Zbl 1194.30001
Khavinson, Dmitry; Neumann, Genevra
21
2008
An extremal problem for harmonic functions in the ball. Zbl 0776.31004
Khavinson, Dmitry
20
1992
Linearization models for parabolic dynamical systems via Abel’s functional equation. Zbl 1238.30010
Elin, Mark; Khavinson, Dmitry; Reich, Simeon; Shoikhet, David
18
2010
On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\). Zbl 0856.31001
Ebenfelt, Peter; Khavinson, Dmitry
18
1996
A note on entire solutions of the eiconal equation. Zbl 0845.35017
Khavinson, Dmitry
18
1995
Remarks on the reflection principle for harmonic functions. Zbl 0699.31016
Khavinson, Dmitry; Shapiro, Harold S.
18
1990
Spectral properties of some integral operators arising in potential theory. Zbl 0764.31001
Anderson, J. M.; Khavinson, D.; Lomonosov, V.
17
1992
Two-dimensional shapes and lemniscates. Zbl 1246.37062
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
15
2011
Recurrence relations for orthogonal polynomials and algebraicity of solutions of the Dirichlet problem. Zbl 1184.30003
Khavinson, Dmitry; Stylianopoulos, Nikos
14
2010
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
14
1996
The isoperimetric inequality and rational approximation. Zbl 0668.30034
Gamelin, T. W.; Khavinson, D.
14
1989
Quadrature domains and their applications. The Harold S. Shapiro anniversary volume. Expanded version of talks and papers presented at a conference on the occasion of the 75th birthday of Harold S. Shapiro, Santa Barbara, CA, USA, March 2003. Zbl 1062.30001
Ebenfelt, Peter (ed.); Gustafsson, Björn (ed.); Khavinson, Dimitry (ed.); Putinar, Mihai (ed.)
13
2005
Gravitational lensing by elliptical galaxies, and the Schwarz function. Zbl 1297.85003
Fassnacht, C. D.; Keeton, C. R.; Khavinson, D.
12
2009
The isoperimetric inequality via approximation theory and free boundary problems. Zbl 1193.30001
Bénéteau, Catherine; Khavinson, Dmitry
12
2006
Spectral estimates of Cauchy’s transform in \(L^ 2(\Omega{})\). Zbl 0779.47015
Arazy, J.; Khavinson, D.
11
1992
Annihilating measures of the algebra R(X). Zbl 0551.46032
Khavinson, Dmitry
11
1984
Planar elliptic growth. Zbl 1173.76049
Khavinson, Dmitry; Mineev-Weinstein, Mark; Putinar, Mihai
10
2009
On removal of periods of conjugate functions in multiply connected domains. Zbl 0592.30045
Khavinson, D.
10
1984
Remarks on inner functions and optimal approximants. Zbl 1419.46023
Bénéteau, Catherine; Fleeman, Matthew C.; Khavinson, Dmitry S.; Seco, Daniel; Sola, Alan A.
9
2018
Linear holomorphic partial differential equations and classical potential theory. Zbl 1426.30002
Khavinson, Dmitry; Lundberg, Erik
9
2018
The search for singularities of solutions to the Dirichlet problem: recent developments. Zbl 1211.31001
Khavinson, Dmitry; Lundberg, Erik
9
2010
Certain linear extremal problems in Bergman spaces of analytic functions. Zbl 0912.30022
Khavinson, Dmitry; Stessin, Michael
9
1997
Factorization theorems for different classes of analytic functions in multiply connected domains. Zbl 0494.30024
Khavinson, D.
9
1983
Extremal problems for nonvanishing functions in Bergman spaces. Zbl 1089.30032
Aharonov, Dov; Bénéteau, Catherine; Khavinson, Dmitry; Shapiro, Harold
8
2005
A free boundary problem related to single-layer potentials. Zbl 1035.31001
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
8
2002
Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022
Duren, Peter; Khavinson, Dmitry
8
1997
On reflection of harmonic functions in surfaces of revolution. Zbl 0702.31004
Khavinson, Dmitry
8
1991
On the classical Dirichlet problem in the plane with rational data. Zbl 1173.35416
Bell, S. R.; Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
7
2006
Algebraic aspects of the Dirichlet problem. Zbl 1083.31009
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
7
2005
On a annihilators of harmonic vector fields. Zbl 0907.30046
Gustaffson, B.; Khavinson, D.
7
1996
Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants. Zbl 1356.42017
Bénéteau, Catherine; Khavinson, Dmitry; Sola, Alan A.; Liaw, Constanze; Seco, Daniel
6
2016
A tale of ellipsoids in potential theory. Zbl 1338.31001
Khavinson, Dmitry; Lundberg, Erik
6
2014
Boundary behaviour of universal Taylor series. Zbl 1297.30083
Gardiner, Stephen J.; Khavinson, Dmitry
6
2014
An overdetermined problem in potential theory. Zbl 1279.31003
Khavinson, Dmitry; Lundberg, Erik; Teodorescu, Razvan
6
2013
Transcendental harmonic mappings and gravitational lensing by isothermal galaxies. Zbl 1209.30012
Khavinson, Dmitry; Lundberg, Erik
6
2010
An inverse problem for the double layer potential. Zbl 1013.31001
Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S.
6
2001
Best approximation in the mean by analytic and harmonic functions. Zbl 0971.41014
Khavinson, Dmitry; McCarthy, John E.; Shapiro, Harold S.
6
2000
Wandering property in the Hardy space. Zbl 0904.47022
Khavinson, D.; Lance, T. L.; Stessin, M. I.
6
1997
On approximation by harmonic vector fields. Zbl 0805.31005
Gustafsson, Bjorn; Khavinson, Dmitry
6
1994
On uniform approximation by harmonic functions. Zbl 0638.41032
Khavinson, Dmitry
6
1987
Zeros of harmonic polynomials, critical lemniscates, and caustics. Zbl 1395.31001
Khavinson, Dmitry; Lee, Seung-Yeop; Saez, Andres
5
2018
Extremal domains for self-commutators in the Bergman space. Zbl 1317.47028
Fleeman, Matthew; Khavinson, Dmitry
5
2015
Approximating \(\overline{z}\) in Hardy and Bergman norms. Zbl 1156.30029
Guadarrama, Zdeňka; Khavinson, Dmitry
5
2008
Extending solutions of holomorphic partial differential equations across real hypersurfaces. Zbl 0933.35036
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
5
1998
Singularities of harmonic functions in \(\mathbb{C}^ n\). Zbl 0755.31003
Khavinson, D.
5
1991
The Vekua hull of a plane domain. Zbl 0705.35018
Khavinson, Dmitry; Shapiro, Harold S.
5
1990
F. and M. Riesz theorem, analytic balayage, and problems in rational approximation. Zbl 0666.30025
Khavinson, Dmitry
5
1988
Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems. Zbl 1423.46044
Bénéteau, Catherine; Khavinson, Dmitry; Liaw, Constanze; Seco, Daniel; Simanek, Brian
4
2019
Approximating \(\overline{z}\) in the Bergman space. Zbl 1408.30047
Fleeman, Matthew; Khavinson, Dmitry
4
2016
Overdeterminded boundary value problems, quadrature domains and applications. Zbl 1095.30031
Khavinson, Dmitry; Solynin, Alexander Yu.; Vassilev, Dimiter
4
2005
Analytic continuation of Dirichlet series. Zbl 0841.30004
Anderson, J. M.; Khavinson, D.; Shapiro, H. S.
4
1995
Symmetry and uniform approximation by analytic functions. Zbl 0652.30027
Khavinson, Dmitry
4
1987
Sets of finite perimeter, Cauchy integrals and rational approximation. Zbl 0543.30028
Khavinson, D.
4
1983
Remarks concerning boundary properties of analytic functions of \(E_ p \)classes. Zbl 0471.30026
Khavinson, D.
4
1982
The Dirichlet problem for the slab with entire data and a difference equation for harmonic functions. Zbl 1366.31003
Khavinson, Dmitry; Lundberg, Erik; Render, Hermann
3
2017
Dirichlet’s problem with entire data posed on an ellipsoidal cylinder. Zbl 1367.31010
Khavinson, Dmitry; Lundberg, Erik; Render, Hermann
3
2017
Gravitational lensing by a collection of objects with radial densities. Zbl 1255.83028
Khavinson, Dmitry; Lundberg, Erik
3
2011
Smooth functions in star-invariant subspaces. Zbl 1104.30035
Dyakonov, Konstantin; Khavinson, Dmitry
3
2006
A note on a theorem of J. Globevnik. Zbl 1085.30037
Khavinson, Dmitry
3
2005
Invariant subspaces in Bergman spaces and Hedenmalm’s boundary value problem. Zbl 0828.30025
Khavinson, D.; Shapiro, H. S.
3
1994
The Cauchy-Green formula with rational approximation on the sets with a finite perimeter in the complex plane. Zbl 0571.30035
Khavinson, D.
3
1985
Polynomial lemniscates and their fingerprints: from geometry to topology. Zbl 1405.30003
Frolova, Anastasia; Khavinson, Dmitry; Vasil’ev, Alexander
2
2018
A note on the spectral area of Toeplitz operators. Zbl 1350.30075
Chu, Cheng; Khavinson, Dmitry
2
2016
Selected problems in classical function theory. Zbl 1352.30043
Bénéteau, Catherine; Khavinson, Dmitry
2
2015
Borcea’s variance conjectures on the critical points of polynomials. Zbl 1291.30036
Khavinson, Dmitry; Pereira, Rajesh; Putinar, Mihai; Saff, Edward B.; Shimorin, Serguei
2
2011
Lemniscates do not survive Laplace growth. Zbl 1236.30006
Khavinson, D.; Mineev-Weinstein, M.; Putinar, M.; Teodorescu, R.
2
2010
A survey of certain extremal problems for non-vanishing analytic functions. Zbl 1183.30001
Bénéteau, Catherine; Khavinson, Dmitry
2
2007
Algebraicity in the Dirichlet problem in the plane with rational data. Zbl 1282.35145
Bell, S. R.; Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
2
2007
Weak compactness in certain star-shift invariant subspaces. Zbl 1071.30055
Akeroyd, John R.; Khavinson, Dmitry; Shapiro, Harold S.
2
2003
Best approximation in the supremum norm by analytic and harmonic functions. Zbl 1134.41320
Khavinson, Dmitry; Shapiro, Harold S.
2
2001
Vita: Friedrich Wilhelm Wiener. Zbl 1052.01516
Boas, Harold P.; Khavinson, Dmitry
2
2000
Extreme Pick-Nevanlinna interpolants. Zbl 0939.30024
Fisher, Stephen D.; Khavinson, Dmitry
2
1999
A remark on a paper by T. Qian. Zbl 0935.42006
Khavinson, D.
2
1997
Analytic continuation of Jacobi polynomial expansions. Zbl 0879.30001
Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S.
2
1997
Do solid tori have the Pompeiu property? Zbl 0879.31001
Berenstein, Carlos; Khavinson, Dmitry
2
1997
The heat equation and analytic continuation: Ivar Fredholm’s first paper. Zbl 0829.35002
Khavinson, D.; Shapiro, H. S.
2
1994
On an extremal problem in the theory of rational approximation. Zbl 0612.41024
Khavinson, D.; Luecking, D.
2
1987
A note on Toeplitz operators. Zbl 0585.47018
Khavinson, D.
2
1985
A free boundary problem associated with the isoperimetric inequality. Zbl 1446.30055
Abanov, Artem; Bénéteau, Catherine; Khavinson, Dmitry; Teodorescu, Razvan
1
2019
On the concept of inner function in Hardy and Bergman spaces in multiply connected domains. Zbl 1429.30046
Bénéteau, Catherine; Fleeman, Matthew; Khavinson, Dmitry; Sola, Alan A.
1
2019
Analytic functions in Smirnov classes \(E{^p}\) with real boundary values. Zbl 1275.30028
De Castro, L.; Khavinson, D.
1
2013
Analytic functions in Smirnov classes \(E^p\) with real boundary values. II. Zbl 1275.30029
De Castro, Lisa; Khavinson, Dmitry
1
2013
Robert Jentzsch, mathematician and poet. Zbl 1191.01041
Duren, Peter; Herbig, Anne-Katrin; Khavinson, Dmitry
1
2008
On a uniqueness property of harmonic functions. Zbl 1151.31005
Khavinson, Dmitry; Shapiro, Harold S.
1
2008
Cauchy’s problem for harmonic functions with entire data on a sphere. Zbl 0877.31002
Khavinson, Dmitry
1
1997
Rectangular parallelepipeds in ellipsoids. Zbl 0865.51015
Duncan, J.; Khavinson, D.; Shapiro, H.
1
1996
Remarks concerning cyclic vectors in Hardy and Bergman spaces. Zbl 0745.30047
Akeroyd, John; Khavinson, Dmitry; Shapiro, Harold S.
1
1991
On a geometric localization of the Cauchy potentials. Zbl 0617.44005
Khavinson, D.
1
1986
Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems. Zbl 1423.46044
Bénéteau, Catherine; Khavinson, Dmitry; Liaw, Constanze; Seco, Daniel; Simanek, Brian
4
2019
A free boundary problem associated with the isoperimetric inequality. Zbl 1446.30055
Abanov, Artem; Bénéteau, Catherine; Khavinson, Dmitry; Teodorescu, Razvan
1
2019
On the concept of inner function in Hardy and Bergman spaces in multiply connected domains. Zbl 1429.30046
Bénéteau, Catherine; Fleeman, Matthew; Khavinson, Dmitry; Sola, Alan A.
1
2019
Remarks on inner functions and optimal approximants. Zbl 1419.46023
Bénéteau, Catherine; Fleeman, Matthew C.; Khavinson, Dmitry S.; Seco, Daniel; Sola, Alan A.
9
2018
Linear holomorphic partial differential equations and classical potential theory. Zbl 1426.30002
Khavinson, Dmitry; Lundberg, Erik
9
2018
Zeros of harmonic polynomials, critical lemniscates, and caustics. Zbl 1395.31001
Khavinson, Dmitry; Lee, Seung-Yeop; Saez, Andres
5
2018
Polynomial lemniscates and their fingerprints: from geometry to topology. Zbl 1405.30003
Frolova, Anastasia; Khavinson, Dmitry; Vasil’ev, Alexander
2
2018
The Dirichlet problem for the slab with entire data and a difference equation for harmonic functions. Zbl 1366.31003
Khavinson, Dmitry; Lundberg, Erik; Render, Hermann
3
2017
Dirichlet’s problem with entire data posed on an ellipsoidal cylinder. Zbl 1367.31010
Khavinson, Dmitry; Lundberg, Erik; Render, Hermann
3
2017
Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants. Zbl 1356.42017
Bénéteau, Catherine; Khavinson, Dmitry; Sola, Alan A.; Liaw, Constanze; Seco, Daniel
6
2016
Approximating \(\overline{z}\) in the Bergman space. Zbl 1408.30047
Fleeman, Matthew; Khavinson, Dmitry
4
2016
A note on the spectral area of Toeplitz operators. Zbl 1350.30075
Chu, Cheng; Khavinson, Dmitry
2
2016
Extremal domains for self-commutators in the Bergman space. Zbl 1317.47028
Fleeman, Matthew; Khavinson, Dmitry
5
2015
Selected problems in classical function theory. Zbl 1352.30043
Bénéteau, Catherine; Khavinson, Dmitry
2
2015
A tale of ellipsoids in potential theory. Zbl 1338.31001
Khavinson, Dmitry; Lundberg, Erik
6
2014
Boundary behaviour of universal Taylor series. Zbl 1297.30083
Gardiner, Stephen J.; Khavinson, Dmitry
6
2014
An overdetermined problem in potential theory. Zbl 1279.31003
Khavinson, Dmitry; Lundberg, Erik; Teodorescu, Razvan
6
2013
Analytic functions in Smirnov classes \(E{^p}\) with real boundary values. Zbl 1275.30028
De Castro, L.; Khavinson, D.
1
2013
Analytic functions in Smirnov classes \(E^p\) with real boundary values. II. Zbl 1275.30029
De Castro, Lisa; Khavinson, Dmitry
1
2013
Two-dimensional shapes and lemniscates. Zbl 1246.37062
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
15
2011
Gravitational lensing by a collection of objects with radial densities. Zbl 1255.83028
Khavinson, Dmitry; Lundberg, Erik
3
2011
Borcea’s variance conjectures on the critical points of polynomials. Zbl 1291.30036
Khavinson, Dmitry; Pereira, Rajesh; Putinar, Mihai; Saff, Edward B.; Shimorin, Serguei
2
2011
Linearization models for parabolic dynamical systems via Abel’s functional equation. Zbl 1238.30010
Elin, Mark; Khavinson, Dmitry; Reich, Simeon; Shoikhet, David
18
2010
Recurrence relations for orthogonal polynomials and algebraicity of solutions of the Dirichlet problem. Zbl 1184.30003
Khavinson, Dmitry; Stylianopoulos, Nikos
14
2010
The search for singularities of solutions to the Dirichlet problem: recent developments. Zbl 1211.31001
Khavinson, Dmitry; Lundberg, Erik
9
2010
Transcendental harmonic mappings and gravitational lensing by isothermal galaxies. Zbl 1209.30012
Khavinson, Dmitry; Lundberg, Erik
6
2010
Lemniscates do not survive Laplace growth. Zbl 1236.30006
Khavinson, D.; Mineev-Weinstein, M.; Putinar, M.; Teodorescu, R.
2
2010
Gravitational lensing by elliptical galaxies, and the Schwarz function. Zbl 1297.85003
Fassnacht, C. D.; Keeton, C. R.; Khavinson, D.
12
2009
Planar elliptic growth. Zbl 1173.76049
Khavinson, Dmitry; Mineev-Weinstein, Mark; Putinar, Mihai
10
2009
From the fundamental theorem of algebra to astrophysics: a “harmonious” path. Zbl 1194.30001
Khavinson, Dmitry; Neumann, Genevra
21
2008
Approximating \(\overline{z}\) in Hardy and Bergman norms. Zbl 1156.30029
Guadarrama, Zdeňka; Khavinson, Dmitry
5
2008
Robert Jentzsch, mathematician and poet. Zbl 1191.01041
Duren, Peter; Herbig, Anne-Katrin; Khavinson, Dmitry
1
2008
On a uniqueness property of harmonic functions. Zbl 1151.31005
Khavinson, Dmitry; Shapiro, Harold S.
1
2008
Poincaré’s variational problem in potential theory. Zbl 1119.31001
Khavinson, Dmitry; Putinar, Mihai; Shapiro, Harold S.
50
2007
A survey of certain extremal problems for non-vanishing analytic functions. Zbl 1183.30001
Bénéteau, Catherine; Khavinson, Dmitry
2
2007
Algebraicity in the Dirichlet problem in the plane with rational data. Zbl 1282.35145
Bell, S. R.; Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
2
2007
On the number of zeros of certain rational harmonic functions. Zbl 1090.30008
Khavinson, Dmitry; Neumann, Genevra
33
2006
The isoperimetric inequality via approximation theory and free boundary problems. Zbl 1193.30001
Bénéteau, Catherine; Khavinson, Dmitry
12
2006
On the classical Dirichlet problem in the plane with rational data. Zbl 1173.35416
Bell, S. R.; Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
7
2006
Smooth functions in star-invariant subspaces. Zbl 1104.30035
Dyakonov, Konstantin; Khavinson, Dmitry
3
2006
Quadrature domains and their applications. The Harold S. Shapiro anniversary volume. Expanded version of talks and papers presented at a conference on the occasion of the 75th birthday of Harold S. Shapiro, Santa Barbara, CA, USA, March 2003. Zbl 1062.30001
Ebenfelt, Peter (ed.); Gustafsson, Björn (ed.); Khavinson, Dimitry (ed.); Putinar, Mihai (ed.)
13
2005
Extremal problems for nonvanishing functions in Bergman spaces. Zbl 1089.30032
Aharonov, Dov; Bénéteau, Catherine; Khavinson, Dmitry; Shapiro, Harold
8
2005
Algebraic aspects of the Dirichlet problem. Zbl 1083.31009
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
7
2005
Overdeterminded boundary value problems, quadrature domains and applications. Zbl 1095.30031
Khavinson, Dmitry; Solynin, Alexander Yu.; Vassilev, Dimiter
4
2005
A note on a theorem of J. Globevnik. Zbl 1085.30037
Khavinson, Dmitry
3
2005
Remarks on the Bohr phenomenon. Zbl 1067.30094
Bénéteau, Catherine; Dahlner, Anders; Khavinson, Dmitry
43
2004
On the number of zeros of certain harmonic polynomials. Zbl 1034.30003
Khavinson, Dmitry; Świątek, Grzegorz
26
2003
Weak compactness in certain star-shift invariant subspaces. Zbl 1071.30055
Akeroyd, John R.; Khavinson, Dmitry; Shapiro, Harold S.
2
2003
A free boundary problem related to single-layer potentials. Zbl 1035.31001
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
8
2002
An inverse problem for the double layer potential. Zbl 1013.31001
Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S.
6
2001
Best approximation in the supremum norm by analytic and harmonic functions. Zbl 1134.41320
Khavinson, Dmitry; Shapiro, Harold S.
2
2001
Best approximation in the mean by analytic and harmonic functions. Zbl 0971.41014
Khavinson, Dmitry; McCarthy, John E.; Shapiro, Harold S.
6
2000
Vita: Friedrich Wilhelm Wiener. Zbl 1052.01516
Boas, Harold P.; Khavinson, Dmitry
2
2000
Extreme Pick-Nevanlinna interpolants. Zbl 0939.30024
Fisher, Stephen D.; Khavinson, Dmitry
2
1999
Extending solutions of holomorphic partial differential equations across real hypersurfaces. Zbl 0933.35036
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
5
1998
Bohr’s power series theorem in several variables. Zbl 0888.32001
Boas, Harold P.; Khavinson, Dmitry
80
1997
Certain linear extremal problems in Bergman spaces of analytic functions. Zbl 0912.30022
Khavinson, Dmitry; Stessin, Michael
9
1997
Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022
Duren, Peter; Khavinson, Dmitry
8
1997
Wandering property in the Hardy space. Zbl 0904.47022
Khavinson, D.; Lance, T. L.; Stessin, M. I.
6
1997
A remark on a paper by T. Qian. Zbl 0935.42006
Khavinson, D.
2
1997
Analytic continuation of Jacobi polynomial expansions. Zbl 0879.30001
Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S.
2
1997
Do solid tori have the Pompeiu property? Zbl 0879.31001
Berenstein, Carlos; Khavinson, Dmitry
2
1997
Cauchy’s problem for harmonic functions with entire data on a sphere. Zbl 0877.31002
Khavinson, Dmitry
1
1997
On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\). Zbl 0856.31001
Ebenfelt, Peter; Khavinson, Dmitry
18
1996
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
14
1996
On a annihilators of harmonic vector fields. Zbl 0907.30046
Gustaffson, B.; Khavinson, D.
7
1996
Rectangular parallelepipeds in ellipsoids. Zbl 0865.51015
Duncan, J.; Khavinson, D.; Shapiro, H.
1
1996
A note on entire solutions of the eiconal equation. Zbl 0845.35017
Khavinson, Dmitry
18
1995
Analytic continuation of Dirichlet series. Zbl 0841.30004
Anderson, J. M.; Khavinson, D.; Shapiro, H. S.
4
1995
Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044
Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C.
29
1994
On approximation by harmonic vector fields. Zbl 0805.31005
Gustafsson, Bjorn; Khavinson, Dmitry
6
1994
Invariant subspaces in Bergman spaces and Hedenmalm’s boundary value problem. Zbl 0828.30025
Khavinson, D.; Shapiro, H. S.
3
1994
The heat equation and analytic continuation: Ivar Fredholm’s first paper. Zbl 0829.35002
Khavinson, D.; Shapiro, H. S.
2
1994
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
42
1993
Dirichlet’s problem when the data is an entire function. Zbl 0799.35030
Khavinson, Dmitry; Shapiro, Harold S.
25
1992
An extremal problem for harmonic functions in the ball. Zbl 0776.31004
Khavinson, Dmitry
20
1992
Spectral properties of some integral operators arising in potential theory. Zbl 0764.31001
Anderson, J. M.; Khavinson, D.; Lomonosov, V.
17
1992
Spectral estimates of Cauchy’s transform in \(L^ 2(\Omega{})\). Zbl 0779.47015
Arazy, J.; Khavinson, D.
11
1992
On reflection of harmonic functions in surfaces of revolution. Zbl 0702.31004
Khavinson, Dmitry
8
1991
Singularities of harmonic functions in \(\mathbb{C}^ n\). Zbl 0755.31003
Khavinson, D.
5
1991
Remarks concerning cyclic vectors in Hardy and Bergman spaces. Zbl 0745.30047
Akeroyd, John; Khavinson, Dmitry; Shapiro, Harold S.
1
1991
Remarks on the reflection principle for harmonic functions. Zbl 0699.31016
Khavinson, Dmitry; Shapiro, Harold S.
18
1990
The Vekua hull of a plane domain. Zbl 0705.35018
Khavinson, Dmitry; Shapiro, Harold S.
5
1990
The isoperimetric inequality and rational approximation. Zbl 0668.30034
Gamelin, T. W.; Khavinson, D.
14
1989
F. and M. Riesz theorem, analytic balayage, and problems in rational approximation. Zbl 0666.30025
Khavinson, Dmitry
5
1988
On uniform approximation by harmonic functions. Zbl 0638.41032
Khavinson, Dmitry
6
1987
Symmetry and uniform approximation by analytic functions. Zbl 0652.30027
Khavinson, Dmitry
4
1987
On an extremal problem in the theory of rational approximation. Zbl 0612.41024
Khavinson, D.; Luecking, D.
2
1987
On a geometric localization of the Cauchy potentials. Zbl 0617.44005
Khavinson, D.
1
1986
The Cauchy-Green formula with rational approximation on the sets with a finite perimeter in the complex plane. Zbl 0571.30035
Khavinson, D.
3
1985
A note on Toeplitz operators. Zbl 0585.47018
Khavinson, D.
2
1985
Annihilating measures of the algebra R(X). Zbl 0551.46032
Khavinson, Dmitry
11
1984
On removal of periods of conjugate functions in multiply connected domains. Zbl 0592.30045
Khavinson, D.
10
1984
Factorization theorems for different classes of analytic functions in multiply connected domains. Zbl 0494.30024
Khavinson, D.
9
1983
Sets of finite perimeter, Cauchy integrals and rational approximation. Zbl 0543.30028
Khavinson, D.
4
1983
Remarks concerning boundary properties of analytic functions of \(E_ p \)classes. Zbl 0471.30026
Khavinson, D.
4
1982
all top 5

Cited by 551 Authors

34 Khavinson, Dmitry S.
17 Kang, Hyeonbae
17 Lundberg, Erik
17 Ponnusamy, Saminathan
15 Render, Hermann
12 Defant, Andreas
11 Ammari, Habib M.
11 Kalaj, David
11 Savina, Tatiana V.
10 Ebenfelt, Peter
10 Gardiner, Stephen J.
10 Kresin, Gershon I.
10 Putinar, Mihai
10 Shapiro, Harold Seymour
9 Ando, Kazunori
9 Bénéteau, Catherine
9 Kayumov, Il’giz Rifatovich
8 Ali, Rosihan Mohamed
8 Bell, Steven R.
8 Seco, Daniel
8 Yu, SangHyeon
7 Fleeman, Matthew C.
7 Maz’ya, Vladimir Gilelevich
7 Miyanishi, Yoshihisa
6 Abu-Muhanna, Yusuf
6 Liesen, Jörg
6 Maestre, Manuel
6 Pellegrino, Daniel Marinho
6 Younsi, Malik
6 Zoalroshd, Seyed Mohsen
5 Ferguson, Timothy
5 Gustafsson, Bjorn
5 Hedenmalm, Håkan
5 Li, Baoqin
5 Lim, Mikyoung
5 Luce, Robert
5 Perfekt, Karl-Mikael
5 Richards, Trevor
5 Richter, Stefan
5 Sète, Olivier
5 Shimorin, Serguei
5 Stylianopoulos, Nikos S.
4 Aĭzenberg, Lev Abramovich
4 Aleman, Alexandru
4 Bhowmik, Bappaditya
4 Borichev, Aleksandr Aleksandrovich
4 Bory Reyes, Juan
4 Bracci, Filippo
4 Chen, Zhihua
4 Cheng, Raymond
4 Das, Nilanjan
4 Dostanić, Milutin R.
4 Elin, Mark
4 Eremenko, Alexandre Émmanuilovich
4 Fedorovskiy, Konstantin Yu.
4 Lerario, Antonio
4 Liu, Mingsheng
4 Liu, Yang
4 Manolaki, Myrto
4 Marković, Marijan
4 Popescu, Gelu
4 Saleeby, Elias George
4 Seip, Kristian
4 Seoane-Sepúlveda, Juan Benigno
4 Sola, Alan A.
4 Sommen, Franciscus
4 Zhang, Hai
3 Abreu-Blaya, Ricardo
3 Alkhaleefah, Seraj A.
3 Bergweiler, Walter
3 Bonnetier, Eric
3 Contreras, Manuel D.
3 Delanghe, Richard
3 Díaz-Madrigal, Santiago
3 Frerick, Leonhard
3 García, Domingo
3 Ghergu, Marius
3 Gumenyuk, Pavel
3 Hamada, Hidetaka
3 Ji, Yong-Gwan
3 Kim, Kyoungsun
3 Lee, Hyundae
3 Lee, Seung-Yeop
3 Li, Bao Qin
3 Liaw, Constanze
3 Mastyło, Mieczysław
3 Mateljević, Miodrag S.
3 Muñoz-Fernández, Gustavo A.
3 Netuka, Ivan
3 Ng, Zhen Chuan
3 Ross, William T. jun.
3 Ruiz, Matias
3 Saff, Edward Barry
3 Schuster, Alexander P.
3 Solynin, Alexander Yu.
3 Sundberg, Carl-Erik W.
3 Triki, Faouzi
3 Vujadinović, Djordjije
3 Weir, Rachel J.
3 Zhu, Kehe
...and 451 more Authors
all top 5

Cited in 157 Serials

54 Journal of Mathematical Analysis and Applications
50 Computational Methods and Function Theory
35 Proceedings of the American Mathematical Society
23 Analysis and Mathematical Physics
18 Journal of Functional Analysis
14 Journal d’Analyse Mathématique
12 Journal of Mathematical Sciences (New York)
12 Complex Variables and Elliptic Equations
12 Complex Analysis and Operator Theory
11 Integral Equations and Operator Theory
11 Transactions of the American Mathematical Society
9 Archive for Rational Mechanics and Analysis
9 Advances in Mathematics
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 General Relativity and Gravitation
6 Duke Mathematical Journal
6 Constructive Approximation
5 Mathematical Notes
5 Journal of Approximation Theory
5 Mathematische Nachrichten
5 Potential Analysis
4 Rocky Mountain Journal of Mathematics
4 Journal of Differential Equations
4 Mathematische Annalen
4 Annales Academiae Scientiarum Fennicae. Mathematica
3 Israel Journal of Mathematics
3 Journal of Mathematical Physics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Archiv der Mathematik
3 Mathematische Zeitschrift
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Linear Algebra and its Applications
3 SIAM Journal on Applied Mathematics
3 Sbornik: Mathematics
3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
3 Mediterranean Journal of Mathematics
2 Ukrainian Mathematical Journal
2 Arkiv för Matematik
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Bulletin of the London Mathematical Society
2 Collectanea Mathematica
2 Functiones et Approximatio. Commentarii Mathematici
2 Illinois Journal of Mathematics
2 Journal of the London Mathematical Society. Second Series
2 Journal für die Reine und Angewandte Mathematik
2 Mathematika
2 Memoirs of the American Mathematical Society
2 Nagoya Mathematical Journal
2 Numerische Mathematik
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Physica D
2 Revista Matemática Iberoamericana
2 Journal of the American Mathematical Society
2 Journal of Integral Equations and Applications
2 International Journal of Mathematics
2 The Journal of Geometric Analysis
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Communications in Partial Differential Equations
2 SIAM Journal on Mathematical Analysis
2 Indagationes Mathematicae. New Series
2 St. Petersburg Mathematical Journal
2 Bulletin des Sciences Mathématiques
2 Operators and Matrices
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Journal of Siberian Federal University. Mathematics & Physics
1 American Mathematical Monthly
1 Analysis Mathematica
1 Applicable Analysis
1 Archive for History of Exact Sciences
1 Bulletin of the Australian Mathematical Society
1 Classical and Quantum Gravity
1 Communications in Mathematical Physics
1 Indian Journal of Pure & Applied Mathematics
1 Inverse Problems
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Russian Mathematical Surveys
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Acta Arithmetica
1 Acta Mathematica
1 Annales de l’Institut Fourier
1 The Annals of Probability
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Canadian Mathematical Bulletin
1 Compositio Mathematica
1 Demonstratio Mathematica
1 Functional Analysis and its Applications
1 Indiana University Mathematics Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Inventiones Mathematicae
1 Journal of Soviet Mathematics
1 Le Matematiche
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
...and 57 more Serials
all top 5

Cited in 49 Fields

275 Functions of a complex variable (30-XX)
137 Potential theory (31-XX)
114 Partial differential equations (35-XX)
91 Operator theory (47-XX)
67 Several complex variables and analytic spaces (32-XX)
66 Functional analysis (46-XX)
24 Dynamical systems and ergodic theory (37-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
16 Astronomy and astrophysics (85-XX)
14 Approximations and expansions (41-XX)
14 Relativity and gravitational theory (83-XX)
13 Fluid mechanics (76-XX)
12 Integral equations (45-XX)
12 Numerical analysis (65-XX)
11 Real functions (26-XX)
10 Differential geometry (53-XX)
9 Special functions (33-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
9 Optics, electromagnetic theory (78-XX)
8 Probability theory and stochastic processes (60-XX)
7 Integral transforms, operational calculus (44-XX)
7 Global analysis, analysis on manifolds (58-XX)
5 Number theory (11-XX)
5 Algebraic geometry (14-XX)
5 Measure and integration (28-XX)
5 Statistical mechanics, structure of matter (82-XX)
4 History and biography (01-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Statistics (62-XX)
3 Field theory and polynomials (12-XX)
3 Mechanics of deformable solids (74-XX)
3 Quantum theory (81-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Ordinary differential equations (34-XX)
2 Difference and functional equations (39-XX)
2 Convex and discrete geometry (52-XX)
2 Computer science (68-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Associative rings and algebras (16-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Manifolds and cell complexes (57-XX)
1 Mechanics of particles and systems (70-XX)
1 Biology and other natural sciences (92-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year