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Khavinson, Dmitry S.

Author ID: khavinson.dmitry-s Recent zbMATH articles by "Khavinson, Dmitry S."
Published as: Khavinson, Dmitry; Khavinson, D.; Khavinson, Dmitry S.; Khavinson, Dimitry
Homepage: http://www.math.usf.edu/faculty/dkhavinson/
Documents Indexed: 113 Publications since 1982, including 1 Book and 2 Additional arXiv Preprints
7 Contributions as Editor · 1 Further Contribution
Reviewing Activity: 74 Reviews
Biographic References: 1 Publication
Co-Authors: 70 Co-Authors with 92 Joint Publications
1,473 Co-Co-Authors
all top 5

Co-Authors

26 single-authored
28 Shapiro, Harold Seymour
12 Bénéteau, Catherine
10 Ebenfelt, Peter
10 Lundberg, Erik
8 Duren, Peter Larkin
6 Putinar, Mihai
4 Agranovsky, Mark L.
4 Fleeman, Matthew C.
4 Reich, Simeon
3 Anderson, James Milne
3 Ben-Artzi, Matania
3 Karp, Lavi
3 Seco, Daniel
3 Sola, Alan A.
3 Sundberg, Carl-Erik W.
3 Teodorescu, Razvan M.
3 Weinstein, Gilbert
3 Zalcman, Lawrence Allen
2 Akeroyd, John R.
2 Bell, Steven R.
2 Boas, Harold P.
2 De Castro, Lisa
2 Gallagher, Anne-Katrin
2 Galloway, Greg
2 Gustaffson, B.
2 Gustafsson, Bjorn
2 Liaw, Constanze
2 Mineev-Weinstein, Mark
2 Neumann, Genevra
2 Render, Hermann
2 Shoikhet, David
2 Stessin, Michael I.
1 Abanov, Artem
1 Aharonov, Dov
1 Aleksandrov, Aleksei B.
1 Aleman, Alexandru
1 Arazy, Jonathan
1 Berenstein, Carlos Alberto
1 Bøgvad, Rikard
1 Carbery, Anthony
1 Chu, Cheng
1 Dahlner, Anders
1 Dales, Harold Garth
1 Duncan, John
1 Dyakonov, Konstantin M.
1 Elin, Mark
1 Fassnacht, C. D.
1 Fisher, Stephen D.
1 Frolova, Anastasia
1 Gamelin, Theodore W.
1 Gardiner, Stephen J.
1 Guadarrama, Zdeňka
1 Hedenmalm, Håkan
1 Keeton, Charles R.
1 Lance, Timothy L.
1 Lee, Seung-Yeop
1 Lomonosov, Victor I.
1 Mashreghi, Javad
1 McCarthy, John Edward
1 Pereira, Rajesh
1 Pérez-González, Fernando
1 Perry, Sean
1 Saez, Andres
1 Saff, Edward Barry
1 Shapiro, Boris Zalmanovich
1 Shimorin, Serguei
1 Simanek, Brian Z.
1 Siskakis, Aristomenis G.
1 Solynin, Alexander Yu.
1 Stylianopoulos, Nikos S.
1 Świątek, Grzegorz
1 Vasilev, Alexander
1 Vassilev, Dimiter N.
all top 5

Serials

6 Michigan Mathematical Journal
6 Computational Methods and Function Theory
5 Proceedings of the American Mathematical Society
5 Complex Variables. Theory and Application
4 Journal d’Analyse Mathématique
4 Canadian Mathematical Bulletin
4 Contemporary Mathematics
4 Complex Analysis and Operator Theory
4 Analysis and Mathematical Physics
3 Indiana University Mathematics Journal
3 Journal of Functional Analysis
3 Pacific Journal of Mathematics
3 Expositiones Mathematicae
2 American Mathematical Monthly
2 Arkiv för Matematik
2 The Mathematical Intelligencer
2 Bulletin of the London Mathematical Society
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
2 Complex Analysis and its Synergies
1 Archive for Rational Mechanics and Analysis
1 Houston Journal of Mathematics
1 Mitteilungen der Deutschen Mathematiker-Vereinigung (DMV)
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 Mathematical Research Letters
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Complex Variables and Elliptic Equations
1 Mathematical Surveys and Monographs
1 Operator Theory: Advances and Applications
1 Trends in Mathematics

Publications by Year

Citations contained in zbMATH Open

104 Publications have been cited 1,224 times in 749 Documents Cited by Year
Bohr’s power series theorem in several variables. Zbl 0888.32001
Boas, Harold P.; Khavinson, Dmitry
133
1997
Remarks on the Bohr phenomenon. Zbl 1067.30094
Bénéteau, Catherine; Dahlner, Anders; Khavinson, Dmitry
72
2004
Poincaré’s variational problem in potential theory. Zbl 1119.31001
Khavinson, Dmitry; Putinar, Mihai; Shapiro, Harold S.
71
2007
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
45
1993
On the number of zeros of certain rational harmonic functions. Zbl 1090.30008
Khavinson, Dmitry; Neumann, Genevra
42
2006
On the number of zeros of certain harmonic polynomials. Zbl 1034.30003
Khavinson, Dmitry; Świątek, Grzegorz
37
2003
A note on entire solutions of the eiconal equation. Zbl 0845.35017
Khavinson, Dmitry
36
1995
Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044
Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C.
33
1994
Dirichlet’s problem when the data is an entire function. Zbl 0799.35030
Khavinson, Dmitry; Shapiro, Harold S.
31
1992
An extremal problem for harmonic functions in the ball. Zbl 0776.31004
Khavinson, Dmitry
28
1992
From the fundamental theorem of algebra to astrophysics: a “harmonious” path. Zbl 1194.30001
Khavinson, Dmitry; Neumann, Genevra
27
2008
Linear holomorphic partial differential equations and classical potential theory. Zbl 1426.30002
Khavinson, Dmitry; Lundberg, Erik
25
2018
Linearization models for parabolic dynamical systems via Abel’s functional equation. Zbl 1238.30010
Elin, Mark; Khavinson, Dmitry; Reich, Simeon; Shoikhet, David
21
2010
Spectral properties of some integral operators arising in potential theory. Zbl 0764.31001
Anderson, J. M.; Khavinson, D.; Lomonosov, V.
21
1992
On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\). Zbl 0856.31001
Ebenfelt, Peter; Khavinson, Dmitry
21
1996
Two-dimensional shapes and lemniscates. Zbl 1246.37062
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
20
2011
Recurrence relations for orthogonal polynomials and algebraicity of solutions of the Dirichlet problem. Zbl 1184.30003
Khavinson, Dmitry; Stylianopoulos, Nikos
19
2010
Remarks on the reflection principle for harmonic functions. Zbl 0699.31016
Khavinson, Dmitry; Shapiro, Harold S.
19
1990
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
17
1996
Remarks on inner functions and optimal approximants. Zbl 1419.46023
Bénéteau, Catherine; Fleeman, Matthew C.; Khavinson, Dmitry S.; Seco, Daniel; Sola, Alan A.
17
2018
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
16
2005
The isoperimetric inequality and rational approximation. Zbl 0668.30034
Gamelin, T. W.; Khavinson, D.
15
1989
Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants. Zbl 1356.42017
Bénéteau, Catherine; Khavinson, Dmitry; Sola, Alan A.; Liaw, Constanze; Seco, Daniel
15
2016
Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems. Zbl 1423.46044
Bénéteau, Catherine; Khavinson, Dmitry; Liaw, Constanze; Seco, Daniel; Simanek, Brian
15
2019
The isoperimetric inequality via approximation theory and free boundary problems. Zbl 1193.30001
Bénéteau, Catherine; Khavinson, Dmitry
14
2006
Spectral estimates of Cauchy’s transform in \(L^ 2(\Omega{})\). Zbl 0779.47015
Arazy, J.; Khavinson, D.
14
1992
Planar elliptic growth. Zbl 1173.76049
Khavinson, Dmitry; Mineev-Weinstein, Mark; Putinar, Mihai
13
2009
Gravitational lensing by elliptical galaxies, and the Schwarz function. Zbl 1297.85003
Fassnacht, C. D.; Keeton, C. R.; Khavinson, D.
13
2009
Factorization theorems for different classes of analytic functions in multiply connected domains. Zbl 0494.30024
Khavinson, D.
12
1983
Annihilating measures of the algebra R(X). Zbl 0551.46032
Khavinson, Dmitry
12
1984
On removal of periods of conjugate functions in multiply connected domains. Zbl 0592.30045
Khavinson, D.
12
1984
The search for singularities of solutions to the Dirichlet problem: recent developments. Zbl 1211.31001
Khavinson, Dmitry; Lundberg, Erik
12
2010
Zeros of harmonic polynomials, critical lemniscates, and caustics. Zbl 1395.31001
Khavinson, Dmitry; Lee, Seung-Yeop; Saez, Andres
12
2018
Certain linear extremal problems in Bergman spaces of analytic functions. Zbl 0912.30022
Khavinson, Dmitry; Stessin, Michael
11
1997
A free boundary problem related to single-layer potentials. Zbl 1035.31001
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
11
2002
Smooth functions in star-invariant subspaces. Zbl 1104.30035
Dyakonov, Konstantin; Khavinson, Dmitry
11
2006
An overdetermined problem in potential theory. Zbl 1279.31003
Khavinson, Dmitry; Lundberg, Erik; Teodorescu, Razvan
11
2013
On the classical Dirichlet problem in the plane with rational data. Zbl 1173.35416
Bell, S. R.; Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
10
2006
Algebraic aspects of the Dirichlet problem. Zbl 1083.31009
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
9
2005
Extremal problems for nonvanishing functions in Bergman spaces. Zbl 1089.30032
Aharonov, Dov; Bénéteau, Catherine; Khavinson, Dmitry; Shapiro, Harold
9
2005
Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022
Duren, Peter; Khavinson, Dmitry
9
1997
A tale of ellipsoids in potential theory. Zbl 1338.31001
Khavinson, Dmitry; Lundberg, Erik
9
2014
Boundary behaviour of universal Taylor series. (Comportement à la frontière des séries de Taylor universelles.) Zbl 1297.30083
Gardiner, Stephen J.; Khavinson, Dmitry
9
2014
Transcendental harmonic mappings and gravitational lensing by isothermal galaxies. Zbl 1209.30012
Khavinson, Dmitry; Lundberg, Erik
9
2010
On reflection of harmonic functions in surfaces of revolution. Zbl 0702.31004
Khavinson, Dmitry
8
1991
On uniform approximation by harmonic functions. Zbl 0638.41032
Khavinson, Dmitry
7
1987
Overdeterminded boundary value problems, quadrature domains and applications. Zbl 1095.30031
Khavinson, Dmitry; Solynin, Alexander Yu.; Vassilev, Dimiter
7
2005
Best approximation in the mean by analytic and harmonic functions. Zbl 0971.41014
Khavinson, Dmitry; McCarthy, John E.; Shapiro, Harold S.
7
2000
Singularities of harmonic functions in \(\mathbb{C}^ n\). Zbl 0755.31003
Khavinson, D.
7
1991
On approximation by harmonic vector fields. Zbl 0805.31005
Gustafsson, Bjorn; Khavinson, Dmitry
7
1994
An inverse problem for the double layer potential. Zbl 1013.31001
Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S.
7
2001
Lemniscates do not survive Laplace growth. Zbl 1236.30006
Khavinson, D.; Mineev-Weinstein, M.; Putinar, M.; Teodorescu, R.
6
2010
Sets of finite perimeter, Cauchy integrals and rational approximation. Zbl 0543.30028
Khavinson, D.
6
1983
On a annihilators of harmonic vector fields. Zbl 0907.30046
Gustaffson, B.; Khavinson, D.
6
1996
Remarks concerning boundary properties of analytic functions of \(E_ p \)classes. Zbl 0471.30026
Khavinson, D.
6
1982
Wandering property in the Hardy space. Zbl 0904.47022
Khavinson, D.; Lance, T. L.; Stessin, M. I.
6
1997
Gravitational lensing by a collection of objects with radial densities. Zbl 1255.83028
Khavinson, Dmitry; Lundberg, Erik
6
2011
Symmetry and uniform approximation by analytic functions. Zbl 0652.30027
Khavinson, Dmitry
5
1987
F. and M. Riesz theorem, analytic balayage, and problems in rational approximation. Zbl 0666.30025
Khavinson, Dmitry
5
1988
Extending solutions of holomorphic partial differential equations across real hypersurfaces. Zbl 0933.35036
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
5
1998
The Vekua hull of a plane domain. Zbl 0705.35018
Khavinson, Dmitry; Shapiro, Harold S.
5
1990
Approximating \(\overline{z}\) in the Bergman space. Zbl 1408.30047
Fleeman, Matthew; Khavinson, Dmitry
5
2016
Extremal domains for self-commutators in the Bergman space. Zbl 1317.47028
Fleeman, Matthew; Khavinson, Dmitry
5
2015
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
5
2017
Approximating \(\overline{z}\) in Hardy and Bergman norms. Zbl 1156.30029
Guadarrama, Zdeňka; Khavinson, Dmitry
5
2008
Polynomial lemniscates and their fingerprints: from geometry to topology. Zbl 1405.30003
Frolova, Anastasia; Khavinson, Dmitry; Vasil’ev, Alexander
5
2018
Borcea’s variance conjectures on the critical points of polynomials. Zbl 1291.30036
Khavinson, Dmitry; Pereira, Rajesh; Putinar, Mihai; Saff, Edward B.; Shimorin, Serguei
4
2011
Analytic continuation of Dirichlet series. Zbl 0841.30004
Anderson, J. M.; Khavinson, D.; Shapiro, H. S.
4
1995
Best approximation in the supremum norm by analytic and harmonic functions. Zbl 1134.41320
Khavinson, Dmitry; Shapiro, Harold S.
4
2001
The heat equation and analytic continuation: Ivar Fredholm’s first paper. Zbl 0829.35002
Khavinson, D.; Shapiro, H. S.
4
1994
Dirichlet’s problem with entire data posed on an ellipsoidal cylinder. Zbl 1367.31010
Khavinson, Dmitry; Lundberg, Erik; Render, Hermann
4
2017
A survey of linear extremal problems in analytic function spaces. Zbl 1316.30048
Bénéteau, Catherine; Khavinson, Dmitry
4
2012
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
A note on a theorem of J. Globevnik. Zbl 1085.30037
Khavinson, Dmitry
3
2005
Analytic continuation of Jacobi polynomial expansions. Zbl 0879.30001
Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S.
3
1997
Selected problems in classical function theory. Zbl 1352.30043
Bénéteau, Catherine; Khavinson, Dmitry
3
2015
A free boundary problem associated with the isoperimetric inequality. Zbl 1446.30055
Abanov, Artem; Bénéteau, Catherine; Khavinson, Dmitry; Teodorescu, Razvan
3
2019
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
A survey of certain extremal problems for non-vanishing analytic functions. Zbl 1183.30001
Bénéteau, Catherine; Khavinson, Dmitry
2
2007
Extreme Pick-Nevanlinna interpolants. Zbl 0939.30024
Fisher, Stephen D.; Khavinson, Dmitry
2
1999
Approximation in \(L^1\)-norm by elements of a uniform algebra. Zbl 0916.46040
Khavinson, D.; Pérez-González, F.; Shapiro, H. S.
2
1998
Vita: Friedrich Wilhelm Wiener. Zbl 1052.01516
Boas, Harold P.; Khavinson, Dmitry
2
2000
A class of interpolating Blaschke products and best approximation in \(L^p\) for \(p<1\). Zbl 1055.30030
Aleksandrov, Alexei B.
2
2002
A note on Toeplitz operators. Zbl 0585.47018
Khavinson, D.
2
1985
On an extremal problem in the theory of rational approximation. Zbl 0612.41024
Khavinson, D.; Luecking, D.
2
1987
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
2
1997
A remark on a paper by T. Qian. Zbl 0935.42006
Khavinson, D.
2
1997
A note on the spectral area of Toeplitz operators. Zbl 1350.30075
Chu, Cheng; Khavinson, Dmitry
2
2016
Weak compactness in certain star-shift invariant subspaces. Zbl 1071.30055
Akeroyd, John R.; Khavinson, Dmitry; Shapiro, Harold S.
2
2003
Remarks on the interplay between algebra and PDE. Zbl 1429.30030
Khavinson, Dmitry
2
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.
2
2019
Contractive zero-divisors in Bergman spaces. Zbl 0771.30039
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
1
1992
Robert Jentzsch, mathematician and poet. Zbl 1191.01041
Duren, Peter; Herbig, Anne-Katrin; Khavinson, Dmitry
1
2008
On a geometric localization of the Cauchy potentials. Zbl 0617.44005
Khavinson, D.
1
1986
On annihilators of harmonic vector fields. Zbl 0891.30029
Gustaffson, B.; Khavinson, D.
1
1996
Remarks concerning cyclic vectors in Hardy and Bergman spaces. Zbl 0745.30047
Akeroyd, John; Khavinson, Dmitry; Shapiro, Harold S.
1
1991
Rectangular parallelepipeds in ellipsoids. Zbl 0865.51015
Duncan, J.; Khavinson, D.; Shapiro, H.
1
1996
On a uniqueness property of harmonic functions. Zbl 1151.31005
Khavinson, Dmitry; Shapiro, Harold S.
1
2008
Harold Seymour Shapiro 1928–2021; life in mathematics, in memoriam. Zbl 1489.01027
Khavinson, Dmitry
1
2022
Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems. Zbl 1423.46044
Bénéteau, Catherine; Khavinson, Dmitry; Liaw, Constanze; Seco, Daniel; Simanek, Brian
15
2019
A free boundary problem associated with the isoperimetric inequality. Zbl 1446.30055
Abanov, Artem; Bénéteau, Catherine; Khavinson, Dmitry; Teodorescu, Razvan
3
2019
Remarks on the interplay between algebra and PDE. Zbl 1429.30030
Khavinson, Dmitry
2
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.
2
2019
Linear holomorphic partial differential equations and classical potential theory. Zbl 1426.30002
Khavinson, Dmitry; Lundberg, Erik
25
2018
Remarks on inner functions and optimal approximants. Zbl 1419.46023
Bénéteau, Catherine; Fleeman, Matthew C.; Khavinson, Dmitry S.; Seco, Daniel; Sola, Alan A.
17
2018
Zeros of harmonic polynomials, critical lemniscates, and caustics. Zbl 1395.31001
Khavinson, Dmitry; Lee, Seung-Yeop; Saez, Andres
12
2018
Polynomial lemniscates and their fingerprints: from geometry to topology. Zbl 1405.30003
Frolova, Anastasia; Khavinson, Dmitry; Vasil&rsquo;ev, Alexander
5
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
5
2017
Dirichlet’s problem with entire data posed on an ellipsoidal cylinder. Zbl 1367.31010
Khavinson, Dmitry; Lundberg, Erik; Render, Hermann
4
2017
Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants. Zbl 1356.42017
Bénéteau, Catherine; Khavinson, Dmitry; Sola, Alan A.; Liaw, Constanze; Seco, Daniel
15
2016
Approximating \(\overline{z}\) in the Bergman space. Zbl 1408.30047
Fleeman, Matthew; Khavinson, Dmitry
5
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
3
2015
A tale of ellipsoids in potential theory. Zbl 1338.31001
Khavinson, Dmitry; Lundberg, Erik
9
2014
Boundary behaviour of universal Taylor series. (Comportement à la frontière des séries de Taylor universelles.) Zbl 1297.30083
Gardiner, Stephen J.; Khavinson, Dmitry
9
2014
An overdetermined problem in potential theory. Zbl 1279.31003
Khavinson, Dmitry; Lundberg, Erik; Teodorescu, Razvan
11
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
A survey of linear extremal problems in analytic function spaces. Zbl 1316.30048
Bénéteau, Catherine; Khavinson, Dmitry
4
2012
Two-dimensional shapes and lemniscates. Zbl 1246.37062
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
20
2011
Gravitational lensing by a collection of objects with radial densities. Zbl 1255.83028
Khavinson, Dmitry; Lundberg, Erik
6
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
4
2011
Linearization models for parabolic dynamical systems via Abel’s functional equation. Zbl 1238.30010
Elin, Mark; Khavinson, Dmitry; Reich, Simeon; Shoikhet, David
21
2010
Recurrence relations for orthogonal polynomials and algebraicity of solutions of the Dirichlet problem. Zbl 1184.30003
Khavinson, Dmitry; Stylianopoulos, Nikos
19
2010
The search for singularities of solutions to the Dirichlet problem: recent developments. Zbl 1211.31001
Khavinson, Dmitry; Lundberg, Erik
12
2010
Transcendental harmonic mappings and gravitational lensing by isothermal galaxies. Zbl 1209.30012
Khavinson, Dmitry; Lundberg, Erik
9
2010
Lemniscates do not survive Laplace growth. Zbl 1236.30006
Khavinson, D.; Mineev-Weinstein, M.; Putinar, M.; Teodorescu, R.
6
2010
Malmheden’s theorem revisited. Zbl 1209.31001
Agranovsky, M.; Khavinson, D.; Shapiro, H. S.
1
2010
Planar elliptic growth. Zbl 1173.76049
Khavinson, Dmitry; Mineev-Weinstein, Mark; Putinar, Mihai
13
2009
Gravitational lensing by elliptical galaxies, and the Schwarz function. Zbl 1297.85003
Fassnacht, C. D.; Keeton, C. R.; Khavinson, D.
13
2009
From the fundamental theorem of algebra to astrophysics: a “harmonious” path. Zbl 1194.30001
Khavinson, Dmitry; Neumann, Genevra
27
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.
71
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
A survey of certain extremal problems for non-vanishing analytic functions. Zbl 1183.30001
Bénéteau, Catherine; Khavinson, Dmitry
2
2007
On the number of zeros of certain rational harmonic functions. Zbl 1090.30008
Khavinson, Dmitry; Neumann, Genevra
42
2006
The isoperimetric inequality via approximation theory and free boundary problems. Zbl 1193.30001
Bénéteau, Catherine; Khavinson, Dmitry
14
2006
Smooth functions in star-invariant subspaces. Zbl 1104.30035
Dyakonov, Konstantin; Khavinson, Dmitry
11
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.
10
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
16
2005
Algebraic aspects of the Dirichlet problem. Zbl 1083.31009
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
9
2005
Extremal problems for nonvanishing functions in Bergman spaces. Zbl 1089.30032
Aharonov, Dov; Bénéteau, Catherine; Khavinson, Dmitry; Shapiro, Harold
9
2005
Overdeterminded boundary value problems, quadrature domains and applications. Zbl 1095.30031
Khavinson, Dmitry; Solynin, Alexander Yu.; Vassilev, Dimiter
7
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
72
2004
On the number of zeros of certain harmonic polynomials. Zbl 1034.30003
Khavinson, Dmitry; Świątek, Grzegorz
37
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.
11
2002
A class of interpolating Blaschke products and best approximation in \(L^p\) for \(p<1\). Zbl 1055.30030
Aleksandrov, Alexei B.
2
2002
An inverse problem for the double layer potential. Zbl 1013.31001
Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S.
7
2001
Best approximation in the supremum norm by analytic and harmonic functions. Zbl 1134.41320
Khavinson, Dmitry; Shapiro, Harold S.
4
2001
Best approximation in the mean by analytic and harmonic functions. Zbl 0971.41014
Khavinson, Dmitry; McCarthy, John E.; Shapiro, Harold S.
7
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
Approximation in \(L^1\)-norm by elements of a uniform algebra. Zbl 0916.46040
Khavinson, D.; Pérez-González, F.; Shapiro, H. S.
2
1998
Bohr’s power series theorem in several variables. Zbl 0888.32001
Boas, Harold P.; Khavinson, Dmitry
133
1997
Certain linear extremal problems in Bergman spaces of analytic functions. Zbl 0912.30022
Khavinson, Dmitry; Stessin, Michael
11
1997
Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022
Duren, Peter; Khavinson, Dmitry
9
1997
Wandering property in the Hardy space. Zbl 0904.47022
Khavinson, D.; Lance, T. L.; Stessin, M. I.
6
1997
Analytic continuation of Jacobi polynomial expansions. Zbl 0879.30001
Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S.
3
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
2
1997
A remark on a paper by T. Qian. Zbl 0935.42006
Khavinson, D.
2
1997
On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\). Zbl 0856.31001
Ebenfelt, Peter; Khavinson, Dmitry
21
1996
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
17
1996
On a annihilators of harmonic vector fields. Zbl 0907.30046
Gustaffson, B.; Khavinson, D.
6
1996
On annihilators of harmonic vector fields. Zbl 0891.30029
Gustaffson, B.; Khavinson, D.
1
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
36
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.
33
1994
On approximation by harmonic vector fields. Zbl 0805.31005
Gustafsson, Bjorn; Khavinson, Dmitry
7
1994
The heat equation and analytic continuation: Ivar Fredholm’s first paper. Zbl 0829.35002
Khavinson, D.; Shapiro, H. S.
4
1994
Invariant subspaces in Bergman spaces and Hedenmalm’s boundary value problem. Zbl 0828.30025
Khavinson, D.; Shapiro, H. S.
3
1994
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
45
1993
Dirichlet’s problem when the data is an entire function. Zbl 0799.35030
Khavinson, Dmitry; Shapiro, Harold S.
31
1992
An extremal problem for harmonic functions in the ball. Zbl 0776.31004
Khavinson, Dmitry
28
1992
Spectral properties of some integral operators arising in potential theory. Zbl 0764.31001
Anderson, J. M.; Khavinson, D.; Lomonosov, V.
21
1992
Spectral estimates of Cauchy’s transform in \(L^ 2(\Omega{})\). Zbl 0779.47015
Arazy, J.; Khavinson, D.
14
1992
Contractive zero-divisors in Bergman spaces. Zbl 0771.30039
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
1
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.
7
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.
19
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.
15
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
7
1987
Symmetry and uniform approximation by analytic functions. Zbl 0652.30027
Khavinson, Dmitry
5
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
12
1984
...and 4 more Documents
all top 5

Cited by 718 Authors

39 Khavinson, Dmitry S.
27 Ponnusamy, Saminathan
24 Lundberg, Erik
22 Kang, Hyeonbae
19 Render, Hermann
15 Allu, Vasudevarao
14 Ammari, Habib
13 Defant, Andreas
13 Kalaj, David
12 Bénéteau, Catherine
12 Gardiner, Stephen J.
12 Savina, Tatiana V.
11 Ando, Kazunori
11 Halder, Himadri
11 Seco, Daniel
10 Ebenfelt, Peter
10 Kresin, Gershon I.
10 Miyanishi, Yoshihisa
10 Putinar, Mihai
10 Shapiro, Harold Seymour
10 Xu, Hongyan
9 Ahamed, Molla Basir
9 Bell, Steven R.
9 Das, Nilanjan
9 Kayumov, Il’giz Rifatovich
9 Li, Baoqin
8 Ali, Rosihan Mohamed
8 Cheng, Raymond
8 Gustafsson, Bjorn
8 Lim, Mikyoung
8 Liu, Mingsheng
8 Pellegrino, Daniel Marinho
8 Perfekt, Karl-Mikael
8 Yu, SangHyeon
7 Bhowmik, Bappaditya
7 Fleeman, Matthew C.
7 Mateljević, Miodrag S.
7 Maz’ya, Vladimir Gilelevich
6 Abu-Muhanna, Yusuf
6 Fedorovskiĭ, Konstantin Yur’evich
6 Hamada, Hidetaka
6 Liesen, Jörg
6 Maestre, Manuel
6 Manolaki, Myrto
6 Ross, William T.
6 Sète, Olivier
6 Sola, Alan A.
6 Stylianopoulos, Nikos S.
6 Younsi, Malik
6 Zoalroshd, Seyed Mohsen
5 Bracci, Filippo
5 Elin, Mark
5 Ferguson, Timothy
5 Gumenyuk, Pavel
5 Hedenmalm, Håkan
5 Ji, Yong-Gwan
5 Legg, Alan R.
5 Luce, Robert
5 Popescu, Gelu
5 Richter, Stefan
5 Saleeby, Elias George
5 Seip, Kristian
5 Seoane-Sepúlveda, Juan Benigno
5 Shimorin, Serguei
5 Vujadinović, Djordjije
4 Aĭzenberg, Lev Abramovich
4 Aleman, Alexandru
4 Borichev, Aleksandr Aleksandrovich
4 Bory Reyes, Juan
4 Chen, Zhihua
4 Chesnel, Lucas
4 Contreras, Manuel D.
4 Díaz-Madrigal, Santiago
4 Dostanić, Milutin R.
4 Eremenko, Alexandre Émmanuilovich
4 Felder, Christopher
4 Kumar, Shankey
4 Lerario, Antonio
4 Liu, Gang
4 Liu, Yang
4 Marković, Marijan
4 Mastyło, Mieczysław
4 Muñoz-Fernández, Gustavo Adolfo
4 Richards, Trevor
4 Saff, Edward Barry
4 Solynin, Alexander Yu.
4 Sommen, Franciscus
4 Teodorescu, Razvan M.
3 Abreu-Blaya, Ricardo
3 Alkhaleefah, Seraj A.
3 Bergweiler, Walter
3 Bonnetier, Eric
3 Bshouty, Daoud H.
3 Chen, Wei
3 Chow, Yat Tin
3 Delanghe, Richard
3 Dragnev, Peter D.
3 Frerick, Leonhard
3 García, Domingo
3 Ghergu, Marius
...and 618 more Authors
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Cited in 189 Serials

66 Journal of Mathematical Analysis and Applications
55 Computational Methods and Function Theory
41 Proceedings of the American Mathematical Society
37 Analysis and Mathematical Physics
24 Journal of Functional Analysis
16 Journal d’Analyse Mathématique
16 Complex Variables and Elliptic Equations
14 Journal of Mathematical Sciences (New York)
14 Complex Analysis and Operator Theory
13 Transactions of the American Mathematical Society
11 Advances in Mathematics
11 Integral Equations and Operator Theory
10 Journal de Mathématiques Pures et Appliquées. Neuvième Série
10 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
9 Archive for Rational Mechanics and Analysis
9 Constructive Approximation
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
8 Rocky Mountain Journal of Mathematics
8 Mathematische Annalen
7 Journal of Mathematical Physics
7 Mathematische Nachrichten
7 Mediterranean Journal of Mathematics
6 General Relativity and Gravitation
6 Mathematical Notes
6 Canadian Mathematical Bulletin
6 Duke Mathematical Journal
6 Journal of Approximation Theory
6 SIAM Journal on Mathematical Analysis
6 Potential Analysis
6 Bulletin des Sciences Mathématiques
6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
6 Complex Analysis and its Synergies
5 Bulletin of the London Mathematical Society
5 Journal of Differential Equations
5 Results in Mathematics
4 Revista Matemática Iberoamericana
4 The Journal of Geometric Analysis
4 Linear Algebra and its Applications
4 Indagationes Mathematicae. New Series
4 Annales Academiae Scientiarum Fennicae. Mathematica
4 Lobachevskii Journal of Mathematics
4 Mathematical Modelling of Natural Phenomena
3 Israel Journal of Mathematics
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Archiv der Mathematik
3 Journal für die Reine und Angewandte Mathematik
3 Mathematische Zeitschrift
3 Mathematika
3 Numerische Mathematik
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Communications in Partial Differential Equations
3 SIAM Journal on Applied Mathematics
3 St. Petersburg Mathematical Journal
3 Filomat
3 Sbornik: Mathematics
3 Journal of Inequalities and Applications
3 Concrete Operators
2 Analysis Mathematica
2 Applicable Analysis
2 Communications in Mathematical Physics
2 Houston Journal of Mathematics
2 Ukrainian Mathematical Journal
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Arkiv för Matematik
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Collectanea Mathematica
2 Demonstratio Mathematica
2 Functiones et Approximatio. Commentarii Mathematici
2 Illinois Journal of Mathematics
2 Journal of the London Mathematical Society. Second Series
2 Memoirs of the American Mathematical Society
2 Nagoya Mathematical Journal
2 Physica D
2 Journal of the American Mathematical Society
2 Journal of Integral Equations and Applications
2 International Journal of Mathematics
2 European Journal of Applied Mathematics
2 Geometric and Functional Analysis. GAFA
2 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Expositiones Mathematicae
2 Electronic Journal of Differential Equations (EJDE)
2 Acta Mathematica Scientia. Series B. (English Edition)
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Journal of Physics A: Mathematical and Theoretical
2 Operators and Matrices
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Journal of Siberian Federal University. Mathematics & Physics
2 AIMS Mathematics
2 Mathematics in Engineering
2 Annales Fennici Mathematici
1 American Mathematical Monthly
1 Archive for History of Exact Sciences
1 Bulletin of the Australian Mathematical Society
1 Classical and Quantum Gravity
1 Indian Journal of Pure & Applied Mathematics
1 Inverse Problems
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
...and 89 more Serials
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Cited in 54 Fields

382 Functions of a complex variable (30-XX)
183 Potential theory (31-XX)
161 Partial differential equations (35-XX)
109 Operator theory (47-XX)
104 Several complex variables and analytic spaces (32-XX)
88 Functional analysis (46-XX)
26 Harmonic analysis on Euclidean spaces (42-XX)
25 Dynamical systems and ergodic theory (37-XX)
18 Approximations and expansions (41-XX)
18 Optics, electromagnetic theory (78-XX)
17 Fluid mechanics (76-XX)
16 Integral equations (45-XX)
16 Astronomy and astrophysics (85-XX)
15 Relativity and gravitational theory (83-XX)
14 Special functions (33-XX)
12 Real functions (26-XX)
12 Differential geometry (53-XX)
12 Probability theory and stochastic processes (60-XX)
11 Numerical analysis (65-XX)
10 Global analysis, analysis on manifolds (58-XX)
9 Integral transforms, operational calculus (44-XX)
9 Calculus of variations and optimal control; optimization (49-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Ordinary differential equations (34-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 History and biography (01-XX)
7 Algebraic geometry (14-XX)
7 Difference and functional equations (39-XX)
6 Number theory (11-XX)
5 Measure and integration (28-XX)
4 Statistics (62-XX)
3 Field theory and polynomials (12-XX)
3 Geometry (51-XX)
3 Mechanics of deformable solids (74-XX)
3 Quantum theory (81-XX)
3 Information and communication theory, circuits (94-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Abstract harmonic analysis (43-XX)
2 Convex and discrete geometry (52-XX)
2 Mechanics of particles and systems (70-XX)
2 Biology and other natural sciences (92-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Associative rings and algebras (16-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Sequences, series, summability (40-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Computer science (68-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Systems theory; control (93-XX)

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