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: 111 Publications since 1982, including 1 Book 7 Contributions as Editor · 1 Further Contribution Reviewing Activity: 74 Reviews Biographic References: 1 Publication Co-Authors: 69 Co-Authors with 91 Joint Publications 1,423 Co-Co-Authors all top 5 Co-Authors 26 single-authored 28 Shapiro, Harold Seymour 12 Bénéteau, Catherine 10 Ebenfelt, Peter 9 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 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 Saez, Andres 1 Saff, Edward Barry 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 79 Functions of a complex variable (30-XX) 27 Potential theory (31-XX) 27 Partial differential equations (35-XX) 17 Functional analysis (46-XX) 16 Operator theory (47-XX) 13 Approximations and expansions (41-XX) 10 General and overarching topics; collections (00-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 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 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 102 Publications have been cited 1,172 times in 716 Documents Cited by ▼ Year ▼ Bohr’s power series theorem in several variables. Zbl 0888.32001Boas, Harold P.; Khavinson, Dmitry 123 1997 Poincaré’s variational problem in potential theory. Zbl 1119.31001Khavinson, Dmitry; Putinar, Mihai; Shapiro, Harold S. 68 2007 Remarks on the Bohr phenomenon. Zbl 1067.30094Bénéteau, Catherine; Dahlner, Anders; Khavinson, Dmitry 68 2004 Contractive zero-divisors in Bergman spaces. Zbl 0739.30029Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl 44 1993 On the number of zeros of certain rational harmonic functions. Zbl 1090.30008Khavinson, Dmitry; Neumann, Genevra 41 2006 On the number of zeros of certain harmonic polynomials. Zbl 1034.30003Khavinson, Dmitry; Świątek, Grzegorz 36 2003 A note on entire solutions of the eiconal equation. Zbl 0845.35017Khavinson, Dmitry 35 1995 Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C. 32 1994 Dirichlet’s problem when the data is an entire function. Zbl 0799.35030Khavinson, Dmitry; Shapiro, Harold S. 29 1992 An extremal problem for harmonic functions in the ball. Zbl 0776.31004Khavinson, Dmitry 27 1992 From the fundamental theorem of algebra to astrophysics: a “harmonious” path. Zbl 1194.30001Khavinson, Dmitry; Neumann, Genevra 26 2008 Spectral properties of some integral operators arising in potential theory. Zbl 0764.31001Anderson, J. M.; Khavinson, D.; Lomonosov, V. 21 1992 Linearization models for parabolic dynamical systems via Abel’s functional equation. Zbl 1238.30010Elin, Mark; Khavinson, Dmitry; Reich, Simeon; Shoikhet, David 21 2010 Linear holomorphic partial differential equations and classical potential theory. Zbl 1426.30002Khavinson, Dmitry; Lundberg, Erik 20 2018 On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\). Zbl 0856.31001Ebenfelt, Peter; Khavinson, Dmitry 20 1996 Remarks on the reflection principle for harmonic functions. Zbl 0699.31016Khavinson, Dmitry; Shapiro, Harold S. 19 1990 Two-dimensional shapes and lemniscates. Zbl 1246.37062Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 18 2011 Recurrence relations for orthogonal polynomials and algebraicity of solutions of the Dirichlet problem. Zbl 1184.30003Khavinson, Dmitry; Stylianopoulos, Nikos 18 2010 Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S. 17 1996 Remarks on inner functions and optimal approximants. Zbl 1419.46023Bénéteau, Catherine; Fleeman, Matthew C.; Khavinson, Dmitry S.; Seco, Daniel; Sola, Alan A. 16 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 0668.30034Gamelin, T. W.; Khavinson, D. 15 1989 The isoperimetric inequality via approximation theory and free boundary problems. Zbl 1193.30001Bénéteau, Catherine; Khavinson, Dmitry 14 2006 Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants. Zbl 1356.42017Bénéteau, Catherine; Khavinson, Dmitry; Sola, Alan A.; Liaw, Constanze; Seco, Daniel 14 2016 Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems. Zbl 1423.46044Bénéteau, Catherine; Khavinson, Dmitry; Liaw, Constanze; Seco, Daniel; Simanek, Brian 13 2019 Planar elliptic growth. Zbl 1173.76049Khavinson, Dmitry; Mineev-Weinstein, Mark; Putinar, Mihai 13 2009 Spectral estimates of Cauchy’s transform in \(L^ 2(\Omega{})\). Zbl 0779.47015Arazy, J.; Khavinson, D. 13 1992 Gravitational lensing by elliptical galaxies, and the Schwarz function. Zbl 1297.85003Fassnacht, C. D.; Keeton, C. R.; Khavinson, D. 13 2009 On removal of periods of conjugate functions in multiply connected domains. Zbl 0592.30045Khavinson, D. 12 1984 Annihilating measures of the algebra R(X). Zbl 0551.46032Khavinson, Dmitry 12 1984 The search for singularities of solutions to the Dirichlet problem: recent developments. Zbl 1211.31001Khavinson, Dmitry; Lundberg, Erik 12 2010 Factorization theorems for different classes of analytic functions in multiply connected domains. Zbl 0494.30024Khavinson, D. 12 1983 A free boundary problem related to single-layer potentials. Zbl 1035.31001Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 11 2002 Certain linear extremal problems in Bergman spaces of analytic functions. Zbl 0912.30022Khavinson, Dmitry; Stessin, Michael 11 1997 Zeros of harmonic polynomials, critical lemniscates, and caustics. Zbl 1395.31001Khavinson, Dmitry; Lee, Seung-Yeop; Saez, Andres 10 2018 An overdetermined problem in potential theory. Zbl 1279.31003Khavinson, Dmitry; Lundberg, Erik; Teodorescu, Razvan 10 2013 Smooth functions in star-invariant subspaces. Zbl 1104.30035Dyakonov, Konstantin; Khavinson, Dmitry 10 2006 On the classical Dirichlet problem in the plane with rational data. Zbl 1173.35416Bell, S. R.; Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 10 2006 Boundary behaviour of universal Taylor series. (Comportement à la frontière des séries de Taylor universelles.) Zbl 1297.30083Gardiner, Stephen J.; Khavinson, Dmitry 9 2014 Extremal problems for nonvanishing functions in Bergman spaces. Zbl 1089.30032Aharonov, Dov; Bénéteau, Catherine; Khavinson, Dmitry; Shapiro, Harold 9 2005 Algebraic aspects of the Dirichlet problem. Zbl 1083.31009Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 9 2005 On reflection of harmonic functions in surfaces of revolution. Zbl 0702.31004Khavinson, Dmitry 8 1991 Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022Duren, Peter; Khavinson, Dmitry 8 1997 Transcendental harmonic mappings and gravitational lensing by isothermal galaxies. Zbl 1209.30012Khavinson, Dmitry; Lundberg, Erik 8 2010 On uniform approximation by harmonic functions. Zbl 0638.41032Khavinson, Dmitry 7 1987 Singularities of harmonic functions in \(\mathbb{C}^ n\). Zbl 0755.31003Khavinson, D. 7 1991 Best approximation in the mean by analytic and harmonic functions. Zbl 0971.41014Khavinson, Dmitry; McCarthy, John E.; Shapiro, Harold S. 7 2000 On approximation by harmonic vector fields. Zbl 0805.31005Gustafsson, Bjorn; Khavinson, Dmitry 7 1994 An inverse problem for the double layer potential. Zbl 1013.31001Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S. 7 2001 A tale of ellipsoids in potential theory. Zbl 1338.31001Khavinson, Dmitry; Lundberg, Erik 7 2014 Sets of finite perimeter, Cauchy integrals and rational approximation. Zbl 0543.30028Khavinson, D. 6 1983 Gravitational lensing by a collection of objects with radial densities. Zbl 1255.83028Khavinson, Dmitry; Lundberg, Erik 6 2011 Overdeterminded boundary value problems, quadrature domains and applications. Zbl 1095.30031Khavinson, Dmitry; Solynin, Alexander Yu.; Vassilev, Dimiter 6 2005 Remarks concerning boundary properties of analytic functions of \(E_ p \)classes. Zbl 0471.30026Khavinson, D. 6 1982 Wandering property in the Hardy space. Zbl 0904.47022Khavinson, D.; Lance, T. L.; Stessin, M. I. 6 1997 On a annihilators of harmonic vector fields. Zbl 0907.30046Gustaffson, B.; Khavinson, D. 6 1996 F. and M. Riesz theorem, analytic balayage, and problems in rational approximation. Zbl 0666.30025Khavinson, Dmitry 5 1988 The Vekua hull of a plane domain. Zbl 0705.35018Khavinson, Dmitry; Shapiro, Harold S. 5 1990 Approximating \(\overline{z}\) in the Bergman space. Zbl 1408.30047Fleeman, Matthew; Khavinson, Dmitry 5 2016 Symmetry and uniform approximation by analytic functions. Zbl 0652.30027Khavinson, Dmitry 5 1987 Extending solutions of holomorphic partial differential equations across real hypersurfaces. Zbl 0933.35036Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 5 1998 The Dirichlet problem for the slab with entire data and a difference equation for harmonic functions. Zbl 1366.31003Khavinson, Dmitry; Lundberg, Erik; Render, Hermann 5 2017 Extremal domains for self-commutators in the Bergman space. Zbl 1317.47028Fleeman, Matthew; Khavinson, Dmitry 5 2015 Approximating \(\overline{z}\) in Hardy and Bergman norms. Zbl 1156.30029Guadarrama, Zdeňka; Khavinson, Dmitry 5 2008 Polynomial lemniscates and their fingerprints: from geometry to topology. Zbl 1405.30003Frolova, Anastasia; Khavinson, Dmitry; Vasil’ev, Alexander 4 2018 Borcea’s variance conjectures on the critical points of polynomials. Zbl 1291.30036Khavinson, Dmitry; Pereira, Rajesh; Putinar, Mihai; Saff, Edward B.; Shimorin, Serguei 4 2011 Best approximation in the supremum norm by analytic and harmonic functions. Zbl 1134.41320Khavinson, Dmitry; Shapiro, Harold S. 4 2001 The heat equation and analytic continuation: Ivar Fredholm’s first paper. Zbl 0829.35002Khavinson, D.; Shapiro, H. S. 4 1994 Analytic continuation of Dirichlet series. Zbl 0841.30004Anderson, J. M.; Khavinson, D.; Shapiro, H. S. 4 1995 A survey of linear extremal problems in analytic function spaces. Zbl 1316.30048Bénéteau, Catherine; Khavinson, Dmitry 4 2012 Dirichlet’s problem with entire data posed on an ellipsoidal cylinder. Zbl 1367.31010Khavinson, Dmitry; Lundberg, Erik; Render, Hermann 4 2017 Lemniscates do not survive Laplace growth. Zbl 1236.30006Khavinson, D.; Mineev-Weinstein, M.; Putinar, M.; Teodorescu, R. 4 2010 A free boundary problem associated with the isoperimetric inequality. Zbl 1446.30055Abanov, Artem; Bénéteau, Catherine; Khavinson, Dmitry; Teodorescu, Razvan 3 2019 The Cauchy-Green formula with rational approximation on the sets with a finite perimeter in the complex plane. Zbl 0571.30035Khavinson, D. 3 1985 A note on a theorem of J. Globevnik. Zbl 1085.30037Khavinson, Dmitry 3 2005 Analytic continuation of Jacobi polynomial expansions. Zbl 0879.30001Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S. 3 1997 Invariant subspaces in Bergman spaces and Hedenmalm’s boundary value problem. Zbl 0828.30025Khavinson, D.; Shapiro, H. S. 3 1994 Selected problems in classical function theory. Zbl 1352.30043Bénéteau, Catherine; Khavinson, Dmitry 3 2015 On an extremal problem in the theory of rational approximation. Zbl 0612.41024Khavinson, D.; Luecking, D. 2 1987 On the concept of inner function in Hardy and Bergman spaces in multiply connected domains. Zbl 1429.30046Bénéteau, Catherine; Fleeman, Matthew; Khavinson, Dmitry; Sola, Alan A. 2 2019 Remarks on the interplay between algebra and PDE. Zbl 1429.30030Khavinson, Dmitry 2 2019 A note on Toeplitz operators. Zbl 0585.47018Khavinson, D. 2 1985 A survey of certain extremal problems for non-vanishing analytic functions. Zbl 1183.30001Bénéteau, Catherine; Khavinson, Dmitry 2 2007 Vita: Friedrich Wilhelm Wiener. Zbl 1052.01516Boas, Harold P.; Khavinson, Dmitry 2 2000 Extreme Pick-Nevanlinna interpolants. Zbl 0939.30024Fisher, Stephen D.; Khavinson, Dmitry 2 1999 Cauchy’s problem for harmonic functions with entire data on a sphere. Zbl 0877.31002Khavinson, Dmitry 2 1997 Approximation in \(L^1\)-norm by elements of a uniform algebra. Zbl 0916.46040Khavinson, D.; Pérez-González, F.; Shapiro, H. S. 2 1998 Weak compactness in certain star-shift invariant subspaces. Zbl 1071.30055Akeroyd, John R.; Khavinson, Dmitry; Shapiro, Harold S. 2 2003 Algebraicity in the Dirichlet problem in the plane with rational data. Zbl 1282.35145Bell, S. R.; Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 2 2007 Do solid tori have the Pompeiu property? Zbl 0879.31001Berenstein, Carlos; Khavinson, Dmitry 2 1997 A class of interpolating Blaschke products and best approximation in \(L^p\) for \(p<1\). Zbl 1055.30030Aleksandrov, Alexei B. 2 2002 A note on the spectral area of Toeplitz operators. Zbl 1350.30075Chu, Cheng; Khavinson, Dmitry 2 2016 A remark on a paper by T. Qian. Zbl 0935.42006Khavinson, D. 2 1997 On a geometric localization of the Cauchy potentials. Zbl 0617.44005Khavinson, D. 1 1986 Remarks concerning cyclic vectors in Hardy and Bergman spaces. Zbl 0745.30047Akeroyd, John; Khavinson, Dmitry; Shapiro, Harold S. 1 1991 Contractive zero-divisors in Bergman spaces. Zbl 0771.30039Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl 1 1992 Robert Jentzsch, mathematician and poet. Zbl 1191.01041Duren, Peter; Herbig, Anne-Katrin; Khavinson, Dmitry 1 2008 Analytic functions in Smirnov classes \(E{^p}\) with real boundary values. Zbl 1275.30028De Castro, L.; Khavinson, D. 1 2013 Analytic functions in Smirnov classes \(E^p\) with real boundary values. II. Zbl 1275.30029De Castro, Lisa; Khavinson, Dmitry 1 2013 Rectangular parallelepipeds in ellipsoids. Zbl 0865.51015Duncan, J.; Khavinson, D.; Shapiro, H. 1 1996 Harold Seymour Shapiro 1928–2021; life in mathematics, in memoriam. Zbl 1489.01027Khavinson, Dmitry 1 2022 Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems. Zbl 1423.46044Bénéteau, Catherine; Khavinson, Dmitry; Liaw, Constanze; Seco, Daniel; Simanek, Brian 13 2019 A free boundary problem associated with the isoperimetric inequality. Zbl 1446.30055Abanov, 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 1429.30046Bénéteau, Catherine; Fleeman, Matthew; Khavinson, Dmitry; Sola, Alan A. 2 2019 Remarks on the interplay between algebra and PDE. Zbl 1429.30030Khavinson, Dmitry 2 2019 Linear holomorphic partial differential equations and classical potential theory. Zbl 1426.30002Khavinson, Dmitry; Lundberg, Erik 20 2018 Remarks on inner functions and optimal approximants. Zbl 1419.46023Bénéteau, Catherine; Fleeman, Matthew C.; Khavinson, Dmitry S.; Seco, Daniel; Sola, Alan A. 16 2018 Zeros of harmonic polynomials, critical lemniscates, and caustics. Zbl 1395.31001Khavinson, Dmitry; Lee, Seung-Yeop; Saez, Andres 10 2018 Polynomial lemniscates and their fingerprints: from geometry to topology. Zbl 1405.30003Frolova, Anastasia; Khavinson, Dmitry; Vasil’ev, Alexander 4 2018 The Dirichlet problem for the slab with entire data and a difference equation for harmonic functions. Zbl 1366.31003Khavinson, Dmitry; Lundberg, Erik; Render, Hermann 5 2017 Dirichlet’s problem with entire data posed on an ellipsoidal cylinder. Zbl 1367.31010Khavinson, Dmitry; Lundberg, Erik; Render, Hermann 4 2017 Orthogonal polynomials, reproducing kernels, and zeros of optimal approximants. Zbl 1356.42017Bénéteau, Catherine; Khavinson, Dmitry; Sola, Alan A.; Liaw, Constanze; Seco, Daniel 14 2016 Approximating \(\overline{z}\) in the Bergman space. Zbl 1408.30047Fleeman, Matthew; Khavinson, Dmitry 5 2016 A note on the spectral area of Toeplitz operators. Zbl 1350.30075Chu, Cheng; Khavinson, Dmitry 2 2016 Extremal domains for self-commutators in the Bergman space. Zbl 1317.47028Fleeman, Matthew; Khavinson, Dmitry 5 2015 Selected problems in classical function theory. Zbl 1352.30043Bénéteau, Catherine; Khavinson, Dmitry 3 2015 Boundary behaviour of universal Taylor series. (Comportement à la frontière des séries de Taylor universelles.) Zbl 1297.30083Gardiner, Stephen J.; Khavinson, Dmitry 9 2014 A tale of ellipsoids in potential theory. Zbl 1338.31001Khavinson, Dmitry; Lundberg, Erik 7 2014 An overdetermined problem in potential theory. Zbl 1279.31003Khavinson, Dmitry; Lundberg, Erik; Teodorescu, Razvan 10 2013 Analytic functions in Smirnov classes \(E{^p}\) with real boundary values. Zbl 1275.30028De Castro, L.; Khavinson, D. 1 2013 Analytic functions in Smirnov classes \(E^p\) with real boundary values. II. Zbl 1275.30029De Castro, Lisa; Khavinson, Dmitry 1 2013 A survey of linear extremal problems in analytic function spaces. Zbl 1316.30048Bénéteau, Catherine; Khavinson, Dmitry 4 2012 Two-dimensional shapes and lemniscates. Zbl 1246.37062Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 18 2011 Gravitational lensing by a collection of objects with radial densities. Zbl 1255.83028Khavinson, Dmitry; Lundberg, Erik 6 2011 Borcea’s variance conjectures on the critical points of polynomials. Zbl 1291.30036Khavinson, Dmitry; Pereira, Rajesh; Putinar, Mihai; Saff, Edward B.; Shimorin, Serguei 4 2011 Linearization models for parabolic dynamical systems via Abel’s functional equation. Zbl 1238.30010Elin, Mark; Khavinson, Dmitry; Reich, Simeon; Shoikhet, David 21 2010 Recurrence relations for orthogonal polynomials and algebraicity of solutions of the Dirichlet problem. Zbl 1184.30003Khavinson, Dmitry; Stylianopoulos, Nikos 18 2010 The search for singularities of solutions to the Dirichlet problem: recent developments. Zbl 1211.31001Khavinson, Dmitry; Lundberg, Erik 12 2010 Transcendental harmonic mappings and gravitational lensing by isothermal galaxies. Zbl 1209.30012Khavinson, Dmitry; Lundberg, Erik 8 2010 Lemniscates do not survive Laplace growth. Zbl 1236.30006Khavinson, D.; Mineev-Weinstein, M.; Putinar, M.; Teodorescu, R. 4 2010 Planar elliptic growth. Zbl 1173.76049Khavinson, Dmitry; Mineev-Weinstein, Mark; Putinar, Mihai 13 2009 Gravitational lensing by elliptical galaxies, and the Schwarz function. Zbl 1297.85003Fassnacht, C. D.; Keeton, C. R.; Khavinson, D. 13 2009 From the fundamental theorem of algebra to astrophysics: a “harmonious” path. Zbl 1194.30001Khavinson, Dmitry; Neumann, Genevra 26 2008 Approximating \(\overline{z}\) in Hardy and Bergman norms. Zbl 1156.30029Guadarrama, Zdeňka; Khavinson, Dmitry 5 2008 Robert Jentzsch, mathematician and poet. Zbl 1191.01041Duren, Peter; Herbig, Anne-Katrin; Khavinson, Dmitry 1 2008 On a uniqueness property of harmonic functions. Zbl 1151.31005Khavinson, Dmitry; Shapiro, Harold S. 1 2008 Poincaré’s variational problem in potential theory. Zbl 1119.31001Khavinson, Dmitry; Putinar, Mihai; Shapiro, Harold S. 68 2007 A survey of certain extremal problems for non-vanishing analytic functions. Zbl 1183.30001Bénéteau, Catherine; Khavinson, Dmitry 2 2007 Algebraicity in the Dirichlet problem in the plane with rational data. Zbl 1282.35145Bell, S. R.; Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 2 2007 On the number of zeros of certain rational harmonic functions. Zbl 1090.30008Khavinson, Dmitry; Neumann, Genevra 41 2006 The isoperimetric inequality via approximation theory and free boundary problems. Zbl 1193.30001Bénéteau, Catherine; Khavinson, Dmitry 14 2006 Smooth functions in star-invariant subspaces. Zbl 1104.30035Dyakonov, Konstantin; Khavinson, Dmitry 10 2006 On the classical Dirichlet problem in the plane with rational data. Zbl 1173.35416Bell, 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 Extremal problems for nonvanishing functions in Bergman spaces. Zbl 1089.30032Aharonov, Dov; Bénéteau, Catherine; Khavinson, Dmitry; Shapiro, Harold 9 2005 Algebraic aspects of the Dirichlet problem. Zbl 1083.31009Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 9 2005 Overdeterminded boundary value problems, quadrature domains and applications. Zbl 1095.30031Khavinson, Dmitry; Solynin, Alexander Yu.; Vassilev, Dimiter 6 2005 A note on a theorem of J. Globevnik. Zbl 1085.30037Khavinson, Dmitry 3 2005 Remarks on the Bohr phenomenon. Zbl 1067.30094Bénéteau, Catherine; Dahlner, Anders; Khavinson, Dmitry 68 2004 On the number of zeros of certain harmonic polynomials. Zbl 1034.30003Khavinson, Dmitry; Świątek, Grzegorz 36 2003 Weak compactness in certain star-shift invariant subspaces. Zbl 1071.30055Akeroyd, John R.; Khavinson, Dmitry; Shapiro, Harold S. 2 2003 A free boundary problem related to single-layer potentials. Zbl 1035.31001Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 11 2002 A class of interpolating Blaschke products and best approximation in \(L^p\) for \(p<1\). Zbl 1055.30030Aleksandrov, Alexei B. 2 2002 An inverse problem for the double layer potential. Zbl 1013.31001Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S. 7 2001 Best approximation in the supremum norm by analytic and harmonic functions. Zbl 1134.41320Khavinson, Dmitry; Shapiro, Harold S. 4 2001 Best approximation in the mean by analytic and harmonic functions. Zbl 0971.41014Khavinson, Dmitry; McCarthy, John E.; Shapiro, Harold S. 7 2000 Vita: Friedrich Wilhelm Wiener. Zbl 1052.01516Boas, Harold P.; Khavinson, Dmitry 2 2000 Extreme Pick-Nevanlinna interpolants. Zbl 0939.30024Fisher, Stephen D.; Khavinson, Dmitry 2 1999 Extending solutions of holomorphic partial differential equations across real hypersurfaces. Zbl 0933.35036Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 5 1998 Approximation in \(L^1\)-norm by elements of a uniform algebra. Zbl 0916.46040Khavinson, D.; Pérez-González, F.; Shapiro, H. S. 2 1998 Bohr’s power series theorem in several variables. Zbl 0888.32001Boas, Harold P.; Khavinson, Dmitry 123 1997 Certain linear extremal problems in Bergman spaces of analytic functions. Zbl 0912.30022Khavinson, Dmitry; Stessin, Michael 11 1997 Boundary correspondence and dilatation of harmonic mappings. Zbl 0892.30022Duren, Peter; Khavinson, Dmitry 8 1997 Wandering property in the Hardy space. Zbl 0904.47022Khavinson, D.; Lance, T. L.; Stessin, M. I. 6 1997 Analytic continuation of Jacobi polynomial expansions. Zbl 0879.30001Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S. 3 1997 Cauchy’s problem for harmonic functions with entire data on a sphere. Zbl 0877.31002Khavinson, Dmitry 2 1997 Do solid tori have the Pompeiu property? Zbl 0879.31001Berenstein, Carlos; Khavinson, Dmitry 2 1997 A remark on a paper by T. Qian. Zbl 0935.42006Khavinson, D. 2 1997 On point to point reflection of harmonic functions across real-analytic hypersurfaces in \(\mathbb{R}^ n\). Zbl 0856.31001Ebenfelt, Peter; Khavinson, Dmitry 20 1996 Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S. 17 1996 On a annihilators of harmonic vector fields. Zbl 0907.30046Gustaffson, B.; Khavinson, D. 6 1996 Rectangular parallelepipeds in ellipsoids. Zbl 0865.51015Duncan, J.; Khavinson, D.; Shapiro, H. 1 1996 A note on entire solutions of the eiconal equation. Zbl 0845.35017Khavinson, Dmitry 35 1995 Analytic continuation of Dirichlet series. Zbl 0841.30004Anderson, J. M.; Khavinson, D.; Shapiro, H. S. 4 1995 Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C. 32 1994 On approximation by harmonic vector fields. Zbl 0805.31005Gustafsson, Bjorn; Khavinson, Dmitry 7 1994 The heat equation and analytic continuation: Ivar Fredholm’s first paper. Zbl 0829.35002Khavinson, D.; Shapiro, H. S. 4 1994 Invariant subspaces in Bergman spaces and Hedenmalm’s boundary value problem. Zbl 0828.30025Khavinson, D.; Shapiro, H. S. 3 1994 Contractive zero-divisors in Bergman spaces. Zbl 0739.30029Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl 44 1993 Dirichlet’s problem when the data is an entire function. Zbl 0799.35030Khavinson, Dmitry; Shapiro, Harold S. 29 1992 An extremal problem for harmonic functions in the ball. Zbl 0776.31004Khavinson, Dmitry 27 1992 Spectral properties of some integral operators arising in potential theory. Zbl 0764.31001Anderson, J. M.; Khavinson, D.; Lomonosov, V. 21 1992 Spectral estimates of Cauchy’s transform in \(L^ 2(\Omega{})\). Zbl 0779.47015Arazy, J.; Khavinson, D. 13 1992 Contractive zero-divisors in Bergman spaces. Zbl 0771.30039Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl 1 1992 On reflection of harmonic functions in surfaces of revolution. Zbl 0702.31004Khavinson, Dmitry 8 1991 Singularities of harmonic functions in \(\mathbb{C}^ n\). Zbl 0755.31003Khavinson, D. 7 1991 Remarks concerning cyclic vectors in Hardy and Bergman spaces. Zbl 0745.30047Akeroyd, John; Khavinson, Dmitry; Shapiro, Harold S. 1 1991 Remarks on the reflection principle for harmonic functions. Zbl 0699.31016Khavinson, Dmitry; Shapiro, Harold S. 19 1990 The Vekua hull of a plane domain. Zbl 0705.35018Khavinson, Dmitry; Shapiro, Harold S. 5 1990 The isoperimetric inequality and rational approximation. Zbl 0668.30034Gamelin, T. W.; Khavinson, D. 15 1989 F. and M. Riesz theorem, analytic balayage, and problems in rational approximation. Zbl 0666.30025Khavinson, Dmitry 5 1988 On uniform approximation by harmonic functions. Zbl 0638.41032Khavinson, Dmitry 7 1987 Symmetry and uniform approximation by analytic functions. Zbl 0652.30027Khavinson, Dmitry 5 1987 On an extremal problem in the theory of rational approximation. Zbl 0612.41024Khavinson, D.; Luecking, D. 2 1987 On a geometric localization of the Cauchy potentials. Zbl 0617.44005Khavinson, D. 1 1986 The Cauchy-Green formula with rational approximation on the sets with a finite perimeter in the complex plane. Zbl 0571.30035Khavinson, D. 3 1985 A note on Toeplitz operators. Zbl 0585.47018Khavinson, D. 2 1985 On removal of periods of conjugate functions in multiply connected domains. Zbl 0592.30045Khavinson, D. 12 1984 Annihilating measures of the algebra R(X). Zbl 0551.46032Khavinson, Dmitry 12 1984 Factorization theorems for different classes of analytic functions in multiply connected domains. Zbl 0494.30024Khavinson, D. 12 1983 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 685 Authors 39 Khavinson, Dmitry S. 24 Ponnusamy, Saminathan 23 Lundberg, Erik 22 Kang, Hyeonbae 18 Render, Hermann 14 Ammari, Habib 13 Allu, Vasudevarao 13 Kalaj, David 12 Bénéteau, Catherine 12 Defant, Andreas 12 Gardiner, Stephen J. 12 Savina, Tatiana V. 11 Ando, Kazunori 11 Seco, Daniel 10 Ebenfelt, Peter 10 Kresin, Gershon I. 10 Miyanishi, Yoshihisa 10 Putinar, Mihai 10 Shapiro, Harold Seymour 10 Xu, Hongyan 9 Bell, Steven R. 9 Das, Nilanjan 9 Halder, Himadri 9 Kayumov, Il’giz Rifatovich 9 Li, Baoqin 8 Ali, Rosihan Mohamed 8 Yu, SangHyeon 7 Ahamed, Molla Basir 7 Bhowmik, Bappaditya 7 Cheng, Raymond 7 Fleeman, Matthew C. 7 Gustafsson, Bjorn 7 Lim, Mikyoung 7 Liu, Mingsheng 7 Maz’ya, Vladimir Gilelevich 7 Pellegrino, Daniel Marinho 7 Perfekt, Karl-Mikael 6 Abu-Muhanna, Yusuf 6 Liesen, Jörg 6 Maestre, Manuel 6 Manolaki, Myrto 6 Mateljević, Miodrag S. 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 Fedorovskiĭ, Konstantin Yur’evich 5 Ferguson, Timothy 5 Gumenyuk, Pavel 5 Hamada, Hidetaka 5 Hedenmalm, Håkan 5 Ji, Yong-Gwan 5 Luce, Robert 5 Popescu, Gelu 5 Richter, Stefan 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 Legg, Alan R. 4 Lerario, Antonio 4 Liu, Gang 4 Liu, Yang 4 Marković, Marijan 4 Muñoz-Fernández, Gustavo Adolfo 4 Richards, Trevor 4 Saff, Edward Barry 4 Saleeby, Elias George 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 Chen, Wei 3 Chow, Yat Tin 3 Delanghe, Richard 3 Dragnev, Peter D. 3 Frerick, Leonhard 3 García, Domingo 3 Ghergu, Marius 3 Huang, Yong 3 Jung, Younghoon 3 Keeton, Charles R. 3 Kim, Kyoungsun ...and 585 more Authors all top 5 Cited in 180 Serials 65 Journal of Mathematical Analysis and Applications 55 Computational Methods and Function Theory 41 Proceedings of the American Mathematical Society 35 Analysis and Mathematical Physics 24 Journal of Functional Analysis 15 Journal d’Analyse Mathématique 14 Journal of Mathematical Sciences (New York) 14 Complex Variables and Elliptic Equations 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. 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Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation ...and 80 more Serials all top 5 Cited in 52 Fields 367 Functions of a complex variable (30-XX) 176 Potential theory (31-XX) 155 Partial differential equations (35-XX) 105 Operator theory (47-XX) 97 Several complex variables and analytic spaces (32-XX) 84 Functional analysis (46-XX) 25 Dynamical systems and ergodic theory (37-XX) 24 Harmonic analysis on Euclidean spaces (42-XX) 18 Optics, electromagnetic theory (78-XX) 17 Approximations and expansions (41-XX) 16 Integral equations (45-XX) 16 Fluid mechanics (76-XX) 16 Astronomy and astrophysics (85-XX) 15 Relativity and gravitational theory (83-XX) 14 Special functions (33-XX) 12 Probability theory and stochastic processes (60-XX) 11 Real functions (26-XX) 11 Differential geometry (53-XX) 11 Numerical analysis (65-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Ordinary differential equations (34-XX) 8 Integral transforms, operational calculus (44-XX) 7 History and biography (01-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 7 Difference and functional equations (39-XX) 7 Statistical mechanics, structure of matter (82-XX) 6 Number theory (11-XX) 6 Algebraic geometry (14-XX) 5 Measure and integration (28-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 Geometry (51-XX) 2 Convex and discrete geometry (52-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 Abstract harmonic analysis (43-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year