Edit Profile (opens in new tab) Khavinson, Dmitry S. Co-Author Distance Author ID: khavinson.dmitry-s Published as: Khavinson, Dmitry; Khavinson, D.; Khavinson, Dmitry S.; Khavinson, Dimitry more...less Homepage: http://www.math.usf.edu/faculty/dkhavinson/ Documents Indexed: 114 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 93 Joint Publications 1,522 Co-Co-Authors all top 5 Co-Authors 26 single-authored 28 Shapiro, Harold Seymour 13 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 4 Seco, Daniel 3 Anderson, James Milne 3 Ben-Artzi, Matania 3 Karp, Lavi 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 all top 5 Fields 81 Functions of a complex variable (30-XX) 27 Potential theory (31-XX) 27 Partial differential equations (35-XX) 17 Functional analysis (46-XX) 17 Operator theory (47-XX) 13 Approximations and expansions (41-XX) 10 General and overarching topics; collections (00-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Several complex variables and analytic spaces (32-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Fluid mechanics (76-XX) 5 History and biography (01-XX) 3 Real functions (26-XX) 3 Integral transforms, operational calculus (44-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Differential geometry (53-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Algebraic geometry (14-XX) 1 Measure and integration (28-XX) 1 Special functions (33-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 107 Publications have been cited 1,325 times in 816 Documents Cited by ▼ Year ▼ Bohr’s power series theorem in several variables. Zbl 0888.32001 Boas, Harold P.; Khavinson, Dmitry 149 1997 Remarks on the Bohr phenomenon. Zbl 1067.30094 Bénéteau, Catherine; Dahlner, Anders; Khavinson, Dmitry 81 2004 Poincaré’s variational problem in potential theory. Zbl 1119.31001 Khavinson, Dmitry; Putinar, Mihai; Shapiro, Harold S. 76 2007 Contractive zero-divisors in Bergman spaces. Zbl 0739.30029 Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl 48 1993 A note on entire solutions of the eiconal equation. Zbl 0845.35017 Khavinson, Dmitry 47 1995 On the number of zeros of certain rational harmonic functions. Zbl 1090.30008 Khavinson, Dmitry; Neumann, Genevra 46 2006 On the number of zeros of certain harmonic polynomials. Zbl 1034.30003 Khavinson, Dmitry; Świątek, Grzegorz 42 2003 Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044 Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C. 35 1994 An extremal problem for harmonic functions in the ball. Zbl 0776.31004 Khavinson, Dmitry 31 1992 Dirichlet’s problem when the data is an entire function. Zbl 0799.35030 Khavinson, Dmitry; Shapiro, Harold S. 31 1992 From the fundamental theorem of algebra to astrophysics: a “harmonious” path. Zbl 1194.30001 Khavinson, Dmitry; Neumann, Genevra 28 2008 Linear holomorphic partial differential equations and classical potential theory. Zbl 1426.30002 Khavinson, Dmitry; Lundberg, Erik 28 2018 Spectral properties of some integral operators arising in potential theory. Zbl 0764.31001 Anderson, J. M.; Khavinson, D.; Lomonosov, V. 22 1992 Linearization models for parabolic dynamical systems via Abel’s functional equation. Zbl 1238.30010 Elin, Mark; Khavinson, Dmitry; Reich, Simeon; Shoikhet, David 22 2010 Two-dimensional shapes and lemniscates. Zbl 1246.37062 Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 22 2011 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 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 19 2005 Remarks on the reflection principle for harmonic functions. Zbl 0699.31016 Khavinson, Dmitry; Shapiro, Harold S. 19 1990 Recurrence relations for orthogonal polynomials and algebraicity of solutions of the Dirichlet problem. Zbl 1184.30003 Khavinson, Dmitry; Stylianopoulos, Nikos 19 2010 Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023 Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S. 18 1996 Remarks on inner functions and optimal approximants. Zbl 1419.46023 Bénéteau, Catherine; Fleeman, Matthew C.; Khavinson, Dmitry S.; Seco, Daniel; Sola, Alan A. 18 2018 Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants. Zbl 1356.42017 Bénéteau, Catherine; Khavinson, Dmitry; Sola, Alan A.; Liaw, Constanze; Seco, Daniel 16 2016 The isoperimetric inequality and rational approximation. Zbl 0668.30034 Gamelin, T. W.; Khavinson, D. 16 1989 The isoperimetric inequality via approximation theory and free boundary problems. Zbl 1193.30001 Bénéteau, Catherine; Khavinson, Dmitry 15 2006 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 Spectral estimates of Cauchy’s transform in \(L^ 2(\Omega{})\). Zbl 0779.47015 Arazy, J.; Khavinson, D. 14 1992 Smooth functions in star-invariant subspaces. Zbl 1104.30035 Dyakonov, Konstantin; Khavinson, Dmitry 14 2006 Gravitational lensing by elliptical galaxies, and the Schwarz function. Zbl 1297.85003 Fassnacht, C. D.; Keeton, C. R.; Khavinson, D. 14 2009 Planar elliptic growth. Zbl 1173.76049 Khavinson, Dmitry; Mineev-Weinstein, Mark; Putinar, Mihai 13 2009 Factorization theorems for different classes of analytic functions in multiply connected domains. Zbl 0494.30024 Khavinson, D. 13 1983 Zeros of harmonic polynomials, critical lemniscates, and caustics. Zbl 1395.31001 Khavinson, Dmitry; Lee, Seung-Yeop; Saez, Andres 13 2018 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 An overdetermined problem in potential theory. Zbl 1279.31003 Khavinson, Dmitry; Lundberg, Erik; Teodorescu, Razvan 12 2013 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 Transcendental harmonic mappings and gravitational lensing by isothermal galaxies. Zbl 1209.30012 Khavinson, Dmitry; Lundberg, Erik 10 2010 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 A tale of ellipsoids in potential theory. Zbl 1338.31001 Khavinson, Dmitry; Lundberg, Erik 10 2014 Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022 Duren, Peter; Khavinson, Dmitry 10 1997 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 behaviour of universal Taylor series. (Comportement à la frontière des séries de Taylor universelles.) Zbl 1297.30083 Gardiner, Stephen J.; Khavinson, Dmitry 9 2014 Overdeterminded boundary value problems, quadrature domains and applications. Zbl 1095.30031 Khavinson, Dmitry; Solynin, Alexander Yu.; Vassilev, Dimiter 8 2005 On reflection of harmonic functions in surfaces of revolution. Zbl 0702.31004 Khavinson, Dmitry 8 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 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 uniform approximation by harmonic functions. Zbl 0638.41032 Khavinson, Dmitry 7 1987 Approximating \(\overline{z}\) in the Bergman space. Zbl 1408.30047 Fleeman, Matthew; Khavinson, Dmitry 7 2016 Gravitational lensing by a collection of objects with radial densities. Zbl 1255.83028 Khavinson, Dmitry; Lundberg, Erik 7 2011 Wandering property in the Hardy space. Zbl 0904.47022 Khavinson, D.; Lance, T. L.; Stessin, M. I. 6 1997 On a annihilators of harmonic vector fields. Zbl 0907.30046 Gustaffson, B.; Khavinson, D. 6 1996 Sets of finite perimeter, Cauchy integrals and rational approximation. Zbl 0543.30028 Khavinson, D. 6 1983 F. and M. Riesz theorem, analytic balayage, and problems in rational approximation. Zbl 0666.30025 Khavinson, Dmitry 6 1988 Remarks concerning boundary properties of analytic functions of \(E_ p \)classes. Zbl 0471.30026 Khavinson, D. 6 1982 Extremal domains for self-commutators in the Bergman space. Zbl 1317.47028 Fleeman, Matthew; Khavinson, Dmitry 6 2015 A survey of linear extremal problems in analytic function spaces. Zbl 1316.30048 Bénéteau, Catherine; Khavinson, Dmitry 6 2012 Lemniscates do not survive Laplace growth. Zbl 1236.30006 Khavinson, D.; Mineev-Weinstein, M.; Putinar, M.; Teodorescu, R. 6 2010 Extending solutions of holomorphic partial differential equations across real hypersurfaces. Zbl 0933.35036 Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 5 1998 Symmetry and uniform approximation by analytic functions. Zbl 0652.30027 Khavinson, Dmitry 5 1987 Approximating \(\overline{z}\) in Hardy and Bergman norms. Zbl 1156.30029 Guadarrama, Zdeňka; Khavinson, Dmitry 5 2008 The Vekua hull of a plane domain. Zbl 0705.35018 Khavinson, Dmitry; Shapiro, Harold S. 5 1990 Borcea’s variance conjectures on the critical points of polynomials. Zbl 1291.30036 Khavinson, Dmitry; Pereira, Rajesh; Putinar, Mihai; Saff, Edward B.; Shimorin, Serguei 5 2011 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 Polynomial lemniscates and their fingerprints: from geometry to topology. Zbl 1405.30003 Frolova, Anastasia; Khavinson, Dmitry; Vasil’ev, Alexander 5 2018 The heat equation and analytic continuation: Ivar Fredholm’s first paper. Zbl 0829.35002 Khavinson, D.; Shapiro, H. S. 4 1994 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 A note on Toeplitz operators. Zbl 0585.47018 Khavinson, D. 4 1985 Dirichlet’s problem with entire data posed on an ellipsoidal cylinder. Zbl 1367.31010 Khavinson, Dmitry; Lundberg, Erik; Render, Hermann 4 2017 Selected problems in classical function theory. Zbl 1352.30043 Bénéteau, Catherine; Khavinson, Dmitry 4 2015 Invariant subspaces in Bergman spaces and Hedenmalm’s boundary value problem. Zbl 0828.30025 Khavinson, D.; Shapiro, H. S. 3 1994 Analytic continuation of Jacobi polynomial expansions. Zbl 0879.30001 Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S. 3 1997 A free boundary problem associated with the isoperimetric inequality. Zbl 1446.30055 Abanov, Artem; Bénéteau, Catherine; Khavinson, Dmitry; Teodorescu, Razvan 3 2019 A note on a theorem of J. Globevnik. Zbl 1085.30037 Khavinson, Dmitry 3 2005 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 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. 3 2019 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 Vita: Friedrich Wilhelm Wiener. Zbl 1052.01516 Boas, Harold P.; Khavinson, Dmitry 2 2000 Weak compactness in certain star-shift invariant subspaces. Zbl 1071.30055 Akeroyd, John R.; Khavinson, Dmitry; Shapiro, Harold S. 2 2003 A class of interpolating Blaschke products and best approximation in \(L^p\) for \(p<1\). Zbl 1055.30030 Aleksandrov, Alexei B. 2 2002 On an extremal problem in the theory of rational approximation. Zbl 0612.41024 Khavinson, D.; Luecking, D. 2 1987 Duality and uniform approximation by solutions of elliptic equations. Zbl 0673.41028 Khavinson, Dmitry 2 1988 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 A note on the spectral area of Toeplitz operators. Zbl 1350.30075 Chu, Cheng; Khavinson, Dmitry 2 2016 Remarks on the interplay between algebra and PDE. Zbl 1429.30030 Khavinson, Dmitry 2 2019 Rectangular parallelepipeds in ellipsoids. Zbl 0865.51015 Duncan, J.; Khavinson, D.; Shapiro, H. 1 1996 On a geometric localization of the Cauchy potentials. Zbl 0617.44005 Khavinson, D. 1 1986 Remarks concerning cyclic vectors in Hardy and Bergman spaces. Zbl 0745.30047 Akeroyd, John; Khavinson, Dmitry; Shapiro, Harold S. 1 1991 Contractive zero-divisors in Bergman spaces. Zbl 0771.30039 Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl 1 1992 Malmheden’s theorem revisited. Zbl 1209.31001 Agranovsky, M.; Khavinson, D.; Shapiro, H. S. 1 2010 On a uniqueness property of harmonic functions. Zbl 1151.31005 Khavinson, Dmitry; Shapiro, Harold S. 1 2008 On the valence of logharmonic polynomials. Zbl 1543.30057 Khavinson, Dmitry; Lundberg, Erik; Perry, Sean 1 2024 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 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. 3 2019 Remarks on the interplay between algebra and PDE. Zbl 1429.30030 Khavinson, Dmitry 2 2019 Linear holomorphic partial differential equations and classical potential theory. Zbl 1426.30002 Khavinson, Dmitry; Lundberg, Erik 28 2018 Remarks on inner functions and optimal approximants. Zbl 1419.46023 Bénéteau, Catherine; Fleeman, Matthew C.; Khavinson, Dmitry S.; Seco, Daniel; Sola, Alan A. 18 2018 Zeros of harmonic polynomials, critical lemniscates, and caustics. Zbl 1395.31001 Khavinson, Dmitry; Lee, Seung-Yeop; Saez, Andres 13 2018 Polynomial lemniscates and their fingerprints: from geometry to topology. Zbl 1405.30003 Frolova, Anastasia; Khavinson, Dmitry; Vasil’ev, Alexander 5 2018 A thought on approximation by bi-analytic functions. Zbl 1433.30099 Khavinson, Dmitry 1 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 16 2016 Approximating \(\overline{z}\) in the Bergman space. Zbl 1408.30047 Fleeman, Matthew; Khavinson, Dmitry 7 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 6 2015 Selected problems in classical function theory. Zbl 1352.30043 Bénéteau, Catherine; Khavinson, Dmitry 4 2015 A tale of ellipsoids in potential theory. Zbl 1338.31001 Khavinson, Dmitry; Lundberg, Erik 10 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 12 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 6 2012 Two-dimensional shapes and lemniscates. Zbl 1246.37062 Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 22 2011 Gravitational lensing by a collection of objects with radial densities. Zbl 1255.83028 Khavinson, Dmitry; Lundberg, Erik 7 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 5 2011 Linearization models for parabolic dynamical systems via Abel’s functional equation. Zbl 1238.30010 Elin, Mark; Khavinson, Dmitry; Reich, Simeon; Shoikhet, David 22 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 10 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 Gravitational lensing by elliptical galaxies, and the Schwarz function. Zbl 1297.85003 Fassnacht, C. D.; Keeton, C. R.; Khavinson, D. 14 2009 Planar elliptic growth. Zbl 1173.76049 Khavinson, Dmitry; Mineev-Weinstein, Mark; Putinar, Mihai 13 2009 From the fundamental theorem of algebra to astrophysics: a “harmonious” path. Zbl 1194.30001 Khavinson, Dmitry; Neumann, Genevra 28 2008 Approximating \(\overline{z}\) in Hardy and Bergman norms. Zbl 1156.30029 Guadarrama, Zdeňka; Khavinson, Dmitry 5 2008 On a uniqueness property of harmonic functions. Zbl 1151.31005 Khavinson, Dmitry; Shapiro, Harold S. 1 2008 Robert Jentzsch, mathematician and poet. Zbl 1191.01041 Duren, Peter; Herbig, Anne-Katrin; Khavinson, Dmitry 1 2008 Poincaré’s variational problem in potential theory. Zbl 1119.31001 Khavinson, Dmitry; Putinar, Mihai; Shapiro, Harold S. 76 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 46 2006 The isoperimetric inequality via approximation theory and free boundary problems. Zbl 1193.30001 Bénéteau, Catherine; Khavinson, Dmitry 15 2006 Smooth functions in star-invariant subspaces. Zbl 1104.30035 Dyakonov, Konstantin; Khavinson, Dmitry 14 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 19 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 8 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 81 2004 On the number of zeros of certain harmonic polynomials. Zbl 1034.30003 Khavinson, Dmitry; Świątek, Grzegorz 42 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 149 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 10 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. 18 1996 On a annihilators of harmonic vector fields. Zbl 0907.30046 Gustaffson, B.; Khavinson, D. 6 1996 Rectangular parallelepipeds in ellipsoids. Zbl 0865.51015 Duncan, J.; Khavinson, D.; Shapiro, H. 1 1996 On annihilators of harmonic vector fields. Zbl 0891.30029 Gustaffson, B.; Khavinson, D. 1 1996 A note on entire solutions of the eiconal equation. Zbl 0845.35017 Khavinson, Dmitry 47 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. 35 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 48 1993 An extremal problem for harmonic functions in the ball. Zbl 0776.31004 Khavinson, Dmitry 31 1992 Dirichlet’s problem when the data is an entire function. Zbl 0799.35030 Khavinson, Dmitry; Shapiro, Harold S. 31 1992 Spectral properties of some integral operators arising in potential theory. Zbl 0764.31001 Anderson, J. M.; Khavinson, D.; Lomonosov, V. 22 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. 16 1989 F. and M. Riesz theorem, analytic balayage, and problems in rational approximation. Zbl 0666.30025 Khavinson, Dmitry 6 1988 Duality and uniform approximation by solutions of elliptic equations. Zbl 0673.41028 Khavinson, Dmitry 2 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 ...and 7 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 770 Authors 40 Khavinson, Dmitry S. 27 Ponnusamy, Saminathan 26 Kang, Hyeonbae 25 Lundberg, Erik 19 Render, Hermann 17 Allu, Vasudevarao 16 Ahamed, Molla Basir 15 Kalaj, David 14 Ammari, Habib 14 Defant, Andreas 14 Xu, Hongyan 12 Bénéteau, Catherine 12 Gardiner, Stephen J. 12 Miyanishi, Yoshihisa 12 Savina, Tatiana V. 11 Ando, Kazunori 11 Das, Nilanjan 11 Halder, Himadri 11 Seco, Daniel 10 Bell, Steven R. 10 Ebenfelt, Peter 10 Kresin, Gershon I. 10 Putinar, Mihai 10 Shapiro, Harold Seymour 9 Ali, Rosihan Mohamed 9 Gustafsson, Bjorn 9 Kayumov, Il’giz Rifatovich 9 Li, Baoqin 8 Cheng, Ray 8 Hamada, Hidetaka 8 Lim, Mikyoung 8 Liu, Mingsheng 8 Pellegrino, Daniel Marinho 8 Perfekt, Karl-Mikael 8 Yu, SangHyeon 7 Abu-Muhanna, Yusuf 7 Bhowmik, Bappaditya 7 Fedorovskiĭ, Konstantin Yur’evich 7 Fleeman, Matthew C. 7 Ji, Yong-Gwan 7 Mateljević, Miodrag S. 7 Maz’ya, Vladimir Gilelevich 7 Sète, Olivier 6 Felder, Christopher 6 Liesen, Jörg 6 Maestre, Manuel 6 Manolaki, Myrto 6 Popescu, Gelu 6 Sola, Alan A. 6 Stylianopoulos, Nikos S. 6 Younsi, Malik 6 Zoalroshd, Seyed Mohsen 5 Ahammed, Sabir 5 Bracci, Filippo 5 Elin, Mark 5 Ferguson, Timothy 5 Gumenyuk, Pavel 5 Hedenmalm, Håkan 5 Honda, Tatsuhiro 5 Legg, Alan R. 5 Liu, Gang 5 Luce, Robert 5 Mastyło, Mieczysław 5 Richter, Stefan 5 Ross, William T. 5 Saleeby, Elias George 5 Seip, Kristian 5 Seoane-Sepúlveda, Juan Benigno 5 Shimorin, Serguei 5 Simanek, Brian Z. 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 Alexandre Eremenko 4 Fukushima, Shota 4 Haldar, Goutam 4 Kumar, Shankey 4 Lerario, Antonio 4 Liu, Xiaolan 4 Liu, Yang 4 Marković, Marijan 4 Muñoz-Fernández, Gustavo Adolfo 4 Ng, Zhen Chuan 4 Perry, Sean 4 Ramachandran, Koushik 4 Richards, Trevor 4 Saff, Edward Barry 4 Solynin, Alexander Yu. 4 Sommen, Franciscus 4 Teodorescu, Razvan M. 4 Xu, Yihui 4 Zur, Jan 3 Abreu-Blaya, Ricardo ...and 670 more Authors all top 5 Cited in 201 Serials 73 Journal of Mathematical Analysis and Applications 57 Computational Methods and Function Theory 42 Proceedings of the American Mathematical Society 39 Analysis and Mathematical Physics 24 Journal of Functional Analysis 19 Complex Variables and Elliptic Equations 17 Journal d’Analyse Mathématique 17 Complex Analysis and Operator Theory 14 Transactions of the American Mathematical Society 14 Journal of Mathematical Sciences (New York) 11 Advances in Mathematics 11 Integral Equations and Operator Theory 11 Bulletin of the Malaysian Mathematical Sciences Society. 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Mathematics & Physics 2 AIMS Mathematics 2 Mathematics in Engineering 2 SN Partial Differential Equations and Applications 2 Annales Fennici Mathematici ...and 101 more Serials all top 5 Cited in 55 Fields 422 Functions of a complex variable (30-XX) 198 Potential theory (31-XX) 175 Partial differential equations (35-XX) 123 Operator theory (47-XX) 119 Several complex variables and analytic spaces (32-XX) 94 Functional analysis (46-XX) 27 Dynamical systems and ergodic theory (37-XX) 26 Harmonic analysis on Euclidean spaces (42-XX) 18 Approximations and expansions (41-XX) 18 Optics, electromagnetic theory (78-XX) 17 Integral equations (45-XX) 17 Fluid mechanics (76-XX) 16 Astronomy and astrophysics (85-XX) 15 Probability theory and stochastic processes (60-XX) 15 Relativity and gravitational theory (83-XX) 14 Special functions (33-XX) 12 Real functions (26-XX) 12 Differential geometry (53-XX) 12 Numerical analysis (65-XX) 11 Difference and functional equations (39-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Linear and multilinear algebra; matrix theory (15-XX) 10 Integral transforms, operational calculus (44-XX) 9 Ordinary differential equations (34-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Statistical mechanics, structure of matter (82-XX) 7 History and biography (01-XX) 7 Algebraic geometry (14-XX) 6 Number theory (11-XX) 5 Measure and integration (28-XX) 5 Mechanics of deformable solids (74-XX) 4 Field theory and polynomials (12-XX) 4 Statistics (62-XX) 4 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Geometry (51-XX) 2 Combinatorics (05-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Mechanics of particles and systems (70-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-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 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year