Edit Profile (opens in new tab) Shapiro, Harold Seymour (b. 1928 d. 2021) Co-Author Distance Author ID: shapiro.harold-s Published as: Shapiro, H. S.; Shapiro, Harold S.; Shapiro, Harold; Shapiro, H. more...less Homepage: https://people.kth.se/~shapiro/ External Links: MGP · Wikidata · dblp · GND · IdRef Documents Indexed: 158 Publications since 1953, including 7 Books Biographic References: 4 Publications Co-Authors: 53 Co-Authors with 87 Joint Publications 1,852 Co-Co-Authors all top 5 Co-Authors 71 single-authored 28 Khavinson, Dmitry S. 11 Ebenfelt, Peter 8 Newman, Donald J. 8 Shields, Allen L. 7 Aharonov, Dov 7 Duren, Peter Larkin 4 Putinar, Mihai 3 Gustafsson, Bjorn 3 Hansen, Lowell J. 3 Solynin, Alexander Yu. 3 Sundberg, Carl-Erik W. 2 Akeroyd, John R. 2 Bell, Steven R. 2 Boman, Jan 2 Douglas, Ronald George 2 Karp, Lavi 2 Rivlin, Theodore Joseph 2 Ross, William T. 2 Saffari, Bahman 1 Agranovsky, Mark L. 1 An, Myoung 1 Anderson, James Milne 1 Asplund, Edgar 1 Bénéteau, Catherine 1 Blondel, Vincent D. 1 Byrnes, Jim 1 Cichoń, Dariusz 1 de Roton, Anne 1 Duncan, John 1 Erdős, Pál 1 Fefferman, Charles Louis 1 Fernández Pérez, José Luis 1 Flatto, Leopold 1 Guerra, Jill 1 Hayman, Walter Kurt 1 McCarthy, John Edward 1 Miller, Kenneth S. 1 Moran, William 1 Pathak, Pramod K. 1 Pérez-González, Fernando 1 Reich, Edgar 1 Rogosinski, Werner Wolfgang 1 Rupp, Rudolf 1 Sakai, Makoto 1 Schwartz, Jacob Theodore 1 Shatalov, Victor E. 1 Silverman, Richard A. 1 Slotnick, Daniel L. 1 Söderberg, Staffan 1 Sternin, Boris Yur’evich 1 Tegmark, Max 1 Tenenbaum, Gérald 1 Tolimieri, Richard all top 5 Serials 10 Michigan Mathematical Journal 8 Journal d’Analyse Mathématique 6 Arkiv för Matematik 6 Bulletin of the American Mathematical Society 5 Complex Variables. Theory and Application 4 Communications on Pure and Applied Mathematics 4 Proceedings of the American Mathematical Society 4 Transactions of the American Mathematical Society 3 Journal of Functional Analysis 3 Expositiones Mathematicae 3 Computational Methods and Function Theory 2 American Mathematical Monthly 2 Journal of Mathematical Analysis and Applications 2 Studia Mathematica 2 Acta Mathematica 2 Bulletin of the London Mathematical Society 2 Duke Mathematical Journal 2 Journal of Approximation Theory 2 Journal of the London Mathematical Society. Second Series 2 Mathematica Scandinavica 2 SIAM Review 2 Journal of the Society for Industrial & Applied Mathematics 1 Archive for Rational Mechanics and Analysis 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Mathematics of Computation 1 The Mathematical Intelligencer 1 American Journal of Mathematics 1 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Soviet Mathematics 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Portugaliae Mathematica 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Studia Scientiarum Mathematicarum Hungarica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Constructive Approximation 1 Revista Matemática Iberoamericana 1 Publicacions Matemàtiques 1 Communications in Partial Differential Equations 1 L’Enseignement Mathématique. 2e Série 1 Indagationes Mathematicae. New Series 1 Potential Analysis 1 Annals of Numerical Mathematics 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Doklady Mathematics 1 Physical Review, II. Series 1 Complex Variables and Elliptic Equations 1 Lecture Notes in Mathematics 1 The University of Arkansas Lecture Notes in the Mathematical Sciences 1 University Lecture Series 1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 1 Studia Mathematica, Seria Specjalna all top 5 Fields 46 Functions of a complex variable (30-XX) 25 Partial differential equations (35-XX) 23 Potential theory (31-XX) 18 Functional analysis (46-XX) 15 Approximations and expansions (41-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 11 Operator theory (47-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Real functions (26-XX) 3 Abstract harmonic analysis (43-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 History and biography (01-XX) 2 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Numerical analysis (65-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 127 Publications have been cited 1,934 times in 1,449 Documents Cited by ▼ Year ▼ Cyclic vectors and invariant subspaces of the backward shift operator. Zbl 0186.45302 Douglas, R. G.; Shapiro, H. S.; Shields, A. L. 126 1970 The Schwarz function and its generalization to higher dimensions. Zbl 0784.30036 Shapiro, Harold S. 123 1992 On some interpolation problems for analytic functions. Zbl 0112.29701 Shapiro, H. S.; Shields, A. L. 109 1961 Topics in approximation theory. Zbl 0213.08501 Shapiro, H. S. 98 1971 Domains on which analytic functions satisfy quadrature identities. Zbl 0337.30029 Aharonov, Dov; Shapiro, Harold S. 88 1976 Some theorems on Cebysev approximation. Zbl 0116.04502 Newman, D. J.; Shapiro, H. S. 80 1963 Poincaré’s variational problem in potential theory. Zbl 1119.31001 Khavinson, Dmitry; Putinar, Mihai; Shapiro, Harold S. 71 2007 A unified approach to certain problems of approximation and minimization. Zbl 0111.06103 Rivlin, T. J.; Shapiro, H. S. 71 1961 On the zeros of functions with finite Dirichlet integral and some related function spaces. Zbl 0115.06301 Shapiro, H. S.; Shields, A. L. 68 1962 Singular measures and domains not of Smirnov type. Zbl 0174.37501 Duren, P. L.; Shapiro, H. S.; Shields, A. L. 51 1966 An algebraic theorem of E. Fischer, and the holomorphic Goursat problem. Zbl 0706.35034 Shapiro, Harold S. 51 1989 What is a quadrature domain? Zbl 1086.30002 Gustafsson, Björn; Shapiro, Harold S. 45 2005 Contractive zero-divisors in Bergman spaces. Zbl 0739.30029 Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl 45 1993 On certain extremum problems for analytic functions. Zbl 0051.05604 Rogosinski, W. W.; Shapiro, H. S. 41 1953 Certain Hilbert spaces of entire functions. Zbl 0201.46403 Newman, D. J.; Shapiro, H. S. 38 1966 Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044 Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C. 33 1994 Smoothing and approximation of functions. Zbl 0194.09101 Shapiro, H. S. 31 1969 Dirichlet’s problem when the data is an entire function. Zbl 0799.35030 Khavinson, Dmitry; Shapiro, Harold S. 31 1992 A combinatory detection problem. Zbl 0123.00205 Söderberg, Staffan; Shapiro, H. S. 28 1963 Alias-free sampling of random noise. Zbl 0121.14204 Shapiro, H. S.; Silverman, R. A. 27 1960 Generalized analytic continuation. Zbl 1009.30002 Ross, William T.; Shapiro, Harold S. 26 2002 Comparison theorems for a generalized modulus of continuity. Zbl 0217.16503 Boman, J.; Shapiro, H. S. 23 1971 A Tauberian theorem related to approximation theory. Zbl 0165.13801 Shapiro, H. S. 21 1968 An elementary proof that the biharmonic Green function of an eccentric ellipse changes sign. Zbl 0794.35044 Shapiro, Harold S.; Tegmark, Max 21 1994 Two-dimensional shapes and lemniscates. Zbl 1246.37062 Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 20 2011 The Taylor coefficients of inner functions. Zbl 0104.29603 Newman, D. J.; Shapiro, Harold S. 19 1962 Remarks on the reflection principle for harmonic functions. Zbl 0699.31016 Khavinson, Dmitry; Shapiro, Harold S. 19 1990 The level curves of harmonic functions. Zbl 0144.36405 Flatto, L.; Newman, D. J.; Shapiro, H. S. 18 1966 Weakly invertible elements in certain function spaces, and generators in \(l_ 1\). Zbl 0133.37303 Shapiro, H. S. 17 1964 Majorant problems for Fourier coefficients. Zbl 0302.42004 Shapiro, Harold S. 17 1975 Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023 Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S. 17 1996 A minimal area problem in conformal mapping. Zbl 0932.30021 Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu. 14 1999 Some negative theorems of approximation theory. Zbl 0123.09202 Shapiro, Harold S. 14 1964 Fischer spaces of entire functions. Zbl 0191.41501 Newman, D. J.; Shapiro, H. S. 14 1968 Some uniqueness problems in approximation theory. Zbl 0092.28703 Rivlin, T. J.; Shapiro, H. S. 13 1960 On the mathematical theory of error correcting codes. Zbl 0109.10706 Shapiro, H. S.; Slotnick, D. L. 13 1959 Some Tauberian theorems with applications to approximation theory. Zbl 0165.13702 Shapiro, H. S. 13 1968 Unbounded quadrature domains. Zbl 0634.30037 Shapiro, Harold S. 12 1987 Functional equations and harmonic extensions. Zbl 0793.30002 Hansen, Lowell J.; Shapiro, Harold S. 12 1994 The Friedrichs operator of a planar domain. Zbl 0979.47032 Putinar, Mihai; Shapiro, Harold S. 11 2000 The mixed Cauchy problem for holomorphic partial differential operators. Zbl 0836.35034 Ebenfelt, Peter; Shapiro, Harold S. 11 1995 A free boundary problem related to single-layer potentials. Zbl 1035.31001 Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 11 2002 The Cauchy-Kowalevskaya theorem and generalizations. Zbl 0819.35006 Ebenfelt, Peter; Shapiro, Harold S. 10 1995 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 On cyclic vectors of the backward shift. Zbl 0152.13902 Douglas, R. G.; Shapiro, H. S.; Shields, A. L. 10 1967 Some theorems on Cebysev approximation. II. Zbl 0154.31104 Shapiro, H. S. 10 1967 The expansion of mean-periodic functions in series of exponentials. Zbl 0168.31802 Shapiro, H. S. 10 1958 Algebraic aspects of the Dirichlet problem. Zbl 1083.31009 Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 9 2005 Jackson’s theorem in higher dimensions. Zbl 0158.05506 Newman, D. J.; Shapiro, H. S. 9 1964 Monotonic singular functions of high smoothness. Zbl 0165.06904 Shapiro, H. S. 9 1968 Extremal problems for nonvanishing functions in Bergman spaces. Zbl 1089.30032 Aharonov, Dov; Bénéteau, Catherine; Khavinson, Dmitry; Shapiro, Harold 9 2005 Restriction operators, balayage and doubly orthogonal systems of analytic functions. Zbl 1027.30057 Gustafsson, Björn; Putinar, Mihai; Shapiro, Harold S. 8 2003 On zero and one points of analytic functions. Zbl 0843.30011 Blondel, Vincent D.; Rupp, Rudolf; Shapiro, Harold S. 7 1995 Best approximation in the mean by analytic and harmonic functions. Zbl 0971.41014 Khavinson, Dmitry; McCarthy, John E.; Shapiro, Harold S. 7 2000 Lebesgue constants for spherical partial sums. Zbl 0292.42012 Shapiro, H. S. 7 1975 An inverse problem for the double layer potential. Zbl 1013.31001 Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S. 7 2001 Notes on a theorem of Baouendi and Rothschild. Zbl 0835.31002 Shapiro, H. S. 6 1995 The Friedrichs operator of a planar domain. II. Zbl 1004.47014 Putinar, Mihai; Shapiro, Harold S. 6 2001 Remarks concerning domains of Smirnov type. Zbl 0179.11501 Shapiro, H. S. 6 1966 On domains in which harmonic functions satisfy generalized mean value properties. Zbl 0882.31002 Gustafsson, Björn; Sakai, Makoto; Shapiro, Harold S. 6 1997 Extending solutions of holomorphic partial differential equations across real hypersurfaces. Zbl 0933.35036 Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 5 1998 A minimal area problem in conformal mapping. II. Zbl 0980.30016 Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu. 5 2001 On generators of the Banach algebras \(l_ 1\) and \(L_ 1 (O,\infty)\). Zbl 0117.09301 Newman, D. J.; Schwartz, J. T.; Shapiro, H. S. 5 1963 Large and small subspaces of Hilbert space. Zbl 0132.34902 Erdős, Pál; Shapiro, H. S.; Shields, A. L. 5 1965 Approximation by generalized rational functions. Zbl 0133.31202 Newman, D. J.; Shapiro, H. S. 5 1964 Reproducing kernels and Beurling’s theorem. Zbl 0147.11403 Shapiro, H. S. 5 1964 Overconvergence of sequences of rational functions with space poles. Zbl 0159.41903 Shapiro, H. S. 5 1968 Generalized analytic continuation. Zbl 0181.35103 Shapiro, Harold S. 5 1968 Functions with a spectral gap. Zbl 0259.42026 Shapiro, Harold S. 5 1973 Regularity properties of the element of closest approximation. Zbl 0273.43005 Shapiro, Harold S. 5 1973 Reconstructing a function from its values on a subset of its domain - a Hilbert space approach. Zbl 0594.41021 Shapiro, Harold S. 5 1986 The Vekua hull of a plane domain. Zbl 0705.35018 Khavinson, Dmitry; Shapiro, Harold S. 5 1990 A quasi maximum principle for holomorphic solutions of partial differential equations in \(\mathbb{C}^ n\). Zbl 0884.35019 Ebenfelt, Peter; Shapiro, Harold S. 5 1997 Unimodular functions and uniform boundedness. Zbl 0682.46017 Fernández, J.; Hui, S.; Shapiro, H. 4 1989 Analytic continuation of Dirichlet series. Zbl 0841.30004 Anderson, J. M.; Khavinson, D.; Shapiro, H. S. 4 1995 Global geometric aspects of Cauchy’s problem for the Laplace operator. Zbl 1112.35309 Shapiro, H. S. 4 1991 Best approximation in the supremum norm by analytic and harmonic functions. Zbl 1134.41320 Khavinson, Dmitry; Shapiro, Harold S. 4 2001 On a class of extremal problems for polynomials in the unit circle. Zbl 0097.28001 Shapiro, H. S. 4 1961 A class of singular functions. Zbl 0177.45002 Shapiro, H. S. 4 1968 Weakly invertible elements in the space of square-summable holomorphic functions. Zbl 0316.30025 Aharonov, D.; Shapiro, H. S.; Shields, A. L. 4 1974 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 Boundary values of bounded holomorphic functions of several variables. Zbl 0208.34903 Shapiro, H. S. 3 1971 Rate of decay of convolution vs. frequency of sign changes. Zbl 1001.31002 Shapiro, H. S. 3 2001 Applications of normed linear spaces to function-theoretic extremal problems. Zbl 0067.30202 Shapiro, Harold S. 3 1955 On the linear independence of Laplace integral solutions of certain differential equations. Zbl 0104.30703 Miller, K. S.; Shapiro, H. S. 3 1961 Incomplete orthogonal families and a related question on orthogonal matrices. Zbl 0122.06301 Shapiro, H. S. 3 1964 Toeplitz operators in Segal-Bargmann spaces of vector-valued functions vector-valued functions. Zbl 1064.47026 Cichoń, Dariusz; Shapiro, Harold S. 3 2003 Analytic continuation of Jacobi polynomial expansions. Zbl 0879.30001 Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S. 3 1997 Graphs and functional equations. Zbl 0785.30011 Hansen, Lowell J.; Shapiro, Harold S. 3 1993 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 Minimal area problems for functions with integral representation. Zbl 1133.30303 Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu. 2 2006 Some inequalities for analytic functions integrable over a plane domain. Zbl 0485.42002 Shapiro, H. S. 2 1981 Approximation in \(L^1\)-norm by elements of a uniform algebra. Zbl 0916.46040 Khavinson, D.; Pérez-González, F.; Shapiro, H. S. 2 1998 Domains allowing exact quadrature identities for harmonic functions - an approach based on P.D.E. Zbl 0559.31001 Shapiro, Harold S. 2 1984 Newtonian capacity and quasi-balayage. Zbl 0991.31004 Hayman, W. K.; Karp, L.; Shapiro, H. S. 2 2000 A remark concerning Littlewood’s Tauberian theorem. Zbl 0144.05501 Shapiro, H. S. 2 1965 Smoothness of the boundary function of a holomorphic function of bounded type. Zbl 0165.40204 Shapiro, H. S. 2 1968 Weighted polynomial approximation and boundary behaviour of analytic functions. Zbl 0174.36701 Shapiro, H. S. 2 1966 Bounded functions with one-sided spectral gaps. Zbl 0235.42007 Shapiro, Harold S. 2 1972 Two-dimensional shapes and lemniscates. Zbl 1246.37062 Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 20 2011 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 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 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 Minimal area problems for functions with integral representation. Zbl 1133.30303 Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu. 2 2006 What is a quadrature domain? Zbl 1086.30002 Gustafsson, Björn; Shapiro, Harold S. 45 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 Restriction operators, balayage and doubly orthogonal systems of analytic functions. Zbl 1027.30057 Gustafsson, Björn; Putinar, Mihai; Shapiro, Harold S. 8 2003 Toeplitz operators in Segal-Bargmann spaces of vector-valued functions vector-valued functions. Zbl 1064.47026 Cichoń, Dariusz; Shapiro, Harold S. 3 2003 Weak compactness in certain star-shift invariant subspaces. Zbl 1071.30055 Akeroyd, John R.; Khavinson, Dmitry; Shapiro, Harold S. 2 2003 Generalized analytic continuation. Zbl 1009.30002 Ross, William T.; Shapiro, Harold S. 26 2002 A free boundary problem related to single-layer potentials. Zbl 1035.31001 Ebenfelt, P.; Khavinson, D.; Shapiro, H. S. 11 2002 Spectral aspects of a class of differential operators. Zbl 1043.34089 Shapiro, Harold S. 1 2002 An inverse problem for the double layer potential. Zbl 1013.31001 Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S. 7 2001 The Friedrichs operator of a planar domain. II. Zbl 1004.47014 Putinar, Mihai; Shapiro, Harold S. 6 2001 A minimal area problem in conformal mapping. II. Zbl 0980.30016 Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu. 5 2001 Best approximation in the supremum norm by analytic and harmonic functions. Zbl 1134.41320 Khavinson, Dmitry; Shapiro, Harold S. 4 2001 Rate of decay of convolution vs. frequency of sign changes. Zbl 1001.31002 Shapiro, H. S. 3 2001 The Friedrichs operator of a planar domain. Zbl 0979.47032 Putinar, Mihai; Shapiro, Harold S. 11 2000 Best approximation in the mean by analytic and harmonic functions. Zbl 0971.41014 Khavinson, Dmitry; McCarthy, John E.; Shapiro, Harold S. 7 2000 Newtonian capacity and quasi-balayage. Zbl 0991.31004 Hayman, W. K.; Karp, L.; Shapiro, H. S. 2 2000 A minimal area problem in conformal mapping. Zbl 0932.30021 Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu. 14 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 On domains in which harmonic functions satisfy generalized mean value properties. Zbl 0882.31002 Gustafsson, Björn; Sakai, Makoto; Shapiro, Harold S. 6 1997 A quasi maximum principle for holomorphic solutions of partial differential equations in \(\mathbb{C}^ n\). Zbl 0884.35019 Ebenfelt, Peter; Shapiro, Harold S. 5 1997 Analytic continuation of Jacobi polynomial expansions. Zbl 0879.30001 Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S. 3 1997 Quasi-balayage and a priori estimates for the Laplace operator. I. Zbl 0899.31002 Shapiro, H. S. 1 1997 Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023 Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S. 17 1996 Rectangular parallelepipeds in ellipsoids. Zbl 0865.51015 Duncan, J.; Khavinson, D.; Shapiro, H. 1 1996 The mixed Cauchy problem for holomorphic partial differential operators. Zbl 0836.35034 Ebenfelt, Peter; Shapiro, Harold S. 11 1995 The Cauchy-Kowalevskaya theorem and generalizations. Zbl 0819.35006 Ebenfelt, Peter; Shapiro, Harold S. 10 1995 On zero and one points of analytic functions. Zbl 0843.30011 Blondel, Vincent D.; Rupp, Rudolf; Shapiro, Harold S. 7 1995 Notes on a theorem of Baouendi and Rothschild. Zbl 0835.31002 Shapiro, H. S. 6 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 An elementary proof that the biharmonic Green function of an eccentric ellipse changes sign. Zbl 0794.35044 Shapiro, Harold S.; Tegmark, Max 21 1994 Functional equations and harmonic extensions. Zbl 0793.30002 Hansen, Lowell J.; Shapiro, Harold S. 12 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 Graphs and functional equations. Zbl 0785.30011 Hansen, Lowell J.; Shapiro, Harold S. 3 1993 The Schwarz function and its generalization to higher dimensions. Zbl 0784.30036 Shapiro, Harold S. 123 1992 Dirichlet’s problem when the data is an entire function. Zbl 0799.35030 Khavinson, Dmitry; Shapiro, Harold S. 31 1992 Contractive zero-divisors in Bergman spaces. Zbl 0771.30039 Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl 1 1992 Global geometric aspects of Cauchy’s problem for the Laplace operator. Zbl 1112.35309 Shapiro, H. S. 4 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 Teichmüller-type annihilators of \(L^ 1\)-analytic functions. Zbl 0697.30019 Reich, Edgar; Shapiro, Harold S. 2 1990 A weighted \(L^ 1\) estimate for the Laplace operator. Zbl 0725.35023 Shapiro, Harold S. 1 1990 An algebraic theorem of E. Fischer, and the holomorphic Goursat problem. Zbl 0706.35034 Shapiro, Harold S. 51 1989 Unimodular functions and uniform boundedness. Zbl 0682.46017 Fernández, J.; Hui, S.; Shapiro, H. 4 1989 Local solvability of PDE with constant coefficients. Zbl 0713.35018 Shapiro, H. S. 1 1989 A uniform boundedness principle concerning inner functions. Zbl 0662.30031 Shapiro, Harold S. 1 1988 Unbounded quadrature domains. Zbl 0634.30037 Shapiro, Harold S. 12 1987 Reconstructing a function from its values on a subset of its domain - a Hilbert space approach. Zbl 0594.41021 Shapiro, Harold S. 5 1986 Domains allowing exact quadrature identities for harmonic functions - an approach based on P.D.E. Zbl 0559.31001 Shapiro, Harold S. 2 1984 Some inequalities for analytic functions integrable over a plane domain. Zbl 0485.42002 Shapiro, H. S. 2 1981 On some Fourier and distribution-theoretic methods in approximation theory. Zbl 0507.41027 Shapiro, Harold S. 1 1980 Stefan Bergman’s theory of doubly-orthogonal functions. An operator- theoretic approach. Zbl 0364.30012 Shapiro, H. S. 2 1979 A counterexample in harmonic analysis. Zbl 0433.42008 Shapiro, H. S. 1 1979 A characterization of certain weak\(^*\)-closed subalgebras of \(L^\infty\). Zbl 0347.46060 Pathak, P. K.; Shapiro, H. S. 2 1977 Convergence almost everywhere of convolution integrals with a dilation parameter. Zbl 0349.40002 Shapiro, Harold S. 1 1977 Domains on which analytic functions satisfy quadrature identities. Zbl 0337.30029 Aharonov, Dov; Shapiro, Harold S. 88 1976 The modulus of continuity of an analytic function. Zbl 0327.30036 Shapiro, H. S. 2 1976 Majorant problems for Fourier coefficients. Zbl 0302.42004 Shapiro, Harold S. 17 1975 Lebesgue constants for spherical partial sums. Zbl 0292.42012 Shapiro, H. S. 7 1975 A counterexample in harmonic analysis. Zbl 0342.43005 Shapiro, Harold 1 1975 Weakly invertible elements in the space of square-summable holomorphic functions. Zbl 0316.30025 Aharonov, D.; Shapiro, H. S.; Shields, A. L. 4 1974 The winding of an analytic function. Zbl 0287.30033 Shapiro, H. S. 1 1974 Functions with a spectral gap. Zbl 0259.42026 Shapiro, Harold S. 5 1973 Regularity properties of the element of closest approximation. Zbl 0273.43005 Shapiro, Harold S. 5 1973 A planar face on the unit sphere of the multiplier space M\(_p\), \(1<p<\infty\). Zbl 0262.42006 Fefferman, Charles; Shapiro, Harold S. 2 1973 Bounded functions with one-sided spectral gaps. Zbl 0235.42007 Shapiro, Harold S. 2 1972 Topics in approximation theory. Zbl 0213.08501 Shapiro, H. S. 98 1971 Comparison theorems for a generalized modulus of continuity. Zbl 0217.16503 Boman, J.; Shapiro, H. S. 23 1971 Boundary values of bounded holomorphic functions of several variables. Zbl 0208.34903 Shapiro, H. S. 3 1971 Cyclic vectors and invariant subspaces of the backward shift operator. Zbl 0186.45302 Douglas, R. G.; Shapiro, H. S.; Shields, A. L. 126 1970 Some function-theoretic problems motivated by the study of Banach algebras. Zbl 0286.30030 Shapiro, Harold S. 1 1970 Smoothing and approximation of functions. Zbl 0194.09101 Shapiro, H. S. 31 1969 Approximation by trigonometric polynomials to periodic functions of several variables. Zbl 0186.11601 Shapiro, H. S. 1 1969 Comparison theorems for a generalized modulus of continuity. Zbl 0194.16403 Boman, J.; Shapiro, H. S. 1 1969 Functions nowhere continuable in a generalized sense. Zbl 0196.08704 Shapiro, H. S. 1 1969 A Tauberian theorem related to approximation theory. Zbl 0165.13801 Shapiro, H. S. 21 1968 Fischer spaces of entire functions. Zbl 0191.41501 Newman, D. J.; Shapiro, H. S. 14 1968 Some Tauberian theorems with applications to approximation theory. Zbl 0165.13702 Shapiro, H. S. 13 1968 Monotonic singular functions of high smoothness. Zbl 0165.06904 Shapiro, H. S. 9 1968 Overconvergence of sequences of rational functions with space poles. Zbl 0159.41903 Shapiro, H. S. 5 1968 Generalized analytic continuation. Zbl 0181.35103 Shapiro, Harold S. 5 1968 A class of singular functions. Zbl 0177.45002 Shapiro, H. S. 4 1968 Smoothness of the boundary function of a holomorphic function of bounded type. Zbl 0165.40204 Shapiro, H. S. 2 1968 On cyclic vectors of the backward shift. Zbl 0152.13902 Douglas, R. G.; Shapiro, H. S.; Shields, A. L. 10 1967 Some theorems on Cebysev approximation. II. Zbl 0154.31104 Shapiro, H. S. 10 1967 Singular measures and domains not of Smirnov type. Zbl 0174.37501 Duren, P. L.; Shapiro, H. S.; Shields, A. L. 51 1966 Certain Hilbert spaces of entire functions. Zbl 0201.46403 Newman, D. J.; Shapiro, H. S. 38 1966 The level curves of harmonic functions. Zbl 0144.36405 Flatto, L.; Newman, D. J.; Shapiro, H. S. 18 1966 ...and 27 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,421 Authors 31 Shapiro, Harold Seymour 26 Khavinson, Dmitry S. 23 Gustafsson, Bjorn 23 Putinar, Mihai 22 Kang, Hyeonbae 18 Render, Hermann 16 Ebenfelt, Peter 16 Kroó, András 15 Bell, Steven R. 13 Ammari, Habib 12 Dyakonov, Konstantin M. 12 Lundberg, Erik 11 Ando, Kazunori 11 Bartelt, Martin W. 11 Fritzsche, Bernd 11 Kirstein, Bernd 11 Richter, Stefan 11 Ross, William T. 11 Savina, Tatiana V. 10 Fedorovskiĭ, Konstantin Yur’evich 10 Hartmann, Andreas 10 Miyanishi, Yoshihisa 10 Shahgholian, Henrik 9 Napalkov, Valentin Vasil’evich 9 Perfekt, Karl-Mikael 9 Seip, Kristian 8 Bénéteau, Catherine 8 Gardiner, Stephen J. 8 Hedenmalm, Håkan 8 Lim, Mikyoung 8 Nessel, Rolf Joachim 8 Solynin, Alexander Yu. 7 Aleman, Alexandru 7 Arov, Damir Zyamovich 7 Fuhrmann, Paul A. 7 Gorkin, Pamela B. 7 Shields, Allen L. 7 Sundberg, Carl-Erik W. 7 Trebels, Walter 7 Yamashita, Shinji 7 Yu, SangHyeon 6 Amar, Eric 6 Borichev, Aleksandr Aleksandrovich 6 Cowen, Carl C. 6 Duren, Peter Larkin 6 Ferguson, Timothy 6 Garcia, Stephan Ramon 6 Karp, Lavi 6 Mashreghi, Javad 6 Nürnberger, Günther 6 Schempp, Walter Johannes 6 Seubert, Steven M. 6 Shimorin, Serguei 6 Vakarchuk, Sergei Borisovich 5 Brosowski, Bruno 5 Cheng, Raymond 5 Crowdy, Darren Gregory 5 Dreseler, Bernd 5 Frankfurt, Richard 5 Hwang, In Sung 5 Ji, Yong-Gwan 5 Korenblum, Boris 5 Lee, Woo Young 5 Legg, Alan R. 5 Makarov, Nikolai Georgievich 5 McCarthy, John Edward 5 Melikhov, Sergeĭ Nikolaevich 5 Nikol’skiĭ, Nikolaĭ Kapitonovich 5 Ortega-Cerdà, Joaquim 5 Queffélec, Hervé 5 Rivlin, Theodore Joseph 5 Sakai, Makoto 5 Schmidt, Darrell 5 Shapiro, Joel H. 5 Sola, Alan A. 5 Sweers, Guido H. 5 Swetits, John J. 5 Tikhonov, Sergey Yur’evich 5 Younsi, Malik 4 Abatangelo, Nicola 4 Agranovsky, Mark L. 4 Aharonov, Dov 4 Anderson, James Milne 4 Babenko, Aleksandr Grigor’evich 4 Belov, Yurii S. 4 Brannigan, Michael 4 Chesnel, Lucas 4 Fleeman, Matthew C. 4 Fricain, Emmanuel 4 Ganzburg, Michael Iosifovich 4 Gorbachëv, Dmitriĭ Viktorovich 4 Grunau, Hans-Christoph 4 Gu, Caixing 4 Heittokangas, Janne M. 4 Horowitz, Charles 4 Huhtanen, Marko 4 Kryakin, Yuri V. 4 Li, Wu 4 Mukherjee, Sabyasachi 4 Mullabaeva, A. U. ...and 1,321 more Authors all top 5 Cited in 294 Serials 122 Journal of Approximation Theory 69 Journal of Mathematical Analysis and Applications 66 Proceedings of the American Mathematical Society 57 Journal of Functional Analysis 51 Journal d’Analyse Mathématique 43 Transactions of the American Mathematical Society 40 Computational Methods and Function Theory 28 Mathematical Notes 28 Integral Equations and Operator Theory 27 Analysis and Mathematical Physics 26 Mathematische Zeitschrift 25 Arkiv för Matematik 20 Advances in Mathematics 19 Journal of Soviet Mathematics 17 Journal of Mathematical Sciences (New York) 16 Bulletin of the American Mathematical Society 15 Archive for Rational Mechanics and Analysis 14 Israel Journal of Mathematics 13 Analysis Mathematica 13 Annales de l’Institut Fourier 13 Archiv der Mathematik 13 Constructive Approximation 11 Ukrainian Mathematical Journal 11 Tôhoku Mathematical Journal. Second Series 11 The Journal of Geometric Analysis 11 Doklady Mathematics 11 Complex Analysis and Operator Theory 10 Acta Mathematica Academiae Scientiarum Hungaricae 10 Numerical Functional Analysis and Optimization 10 Numerische Mathematik 10 Siberian Mathematical Journal 10 Journal de Mathématiques Pures et Appliquées. Neuvième Série 10 Potential Analysis 10 Complex Variables and Elliptic Equations 9 Mathematische Annalen 9 Mathematische Nachrichten 9 Proceedings of the Steklov Institute of Mathematics 8 Monatshefte für Mathematik 8 Linear Algebra and its Applications 8 St. Petersburg Mathematical Journal 8 The Journal of Fourier Analysis and Applications 7 Rocky Mountain Journal of Mathematics 7 Acta Mathematica 7 Duke Mathematical Journal 7 SIAM Journal on Mathematical Analysis 7 Indagationes Mathematicae. New Series 6 Annali di Matematica Pura ed Applicata. Serie Quarta 6 Journal of Computational and Applied Mathematics 6 Systems & Control Letters 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Communications in Mathematical Physics 5 Lithuanian Mathematical Journal 5 Mathematics of Computation 5 Journal of Differential Equations 5 Results in Mathematics 5 Theoretical Computer Science 5 Acta Mathematica Hungarica 5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences 5 Filomat 4 Applicable Analysis 4 Discrete Mathematics 4 International Journal of Control 4 Journal of Mathematical Physics 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Functional Analysis and its Applications 4 Manuscripta Mathematica 4 Mathematika 4 Proceedings of the Japan Academy. Series A 4 Physica D 4 Journal of Complexity 4 European Journal of Applied Mathematics 4 SIAM Journal on Applied Mathematics 4 Applied and Computational Harmonic Analysis 4 Sbornik: Mathematics 3 Computers & Mathematics with Applications 3 Houston Journal of Mathematics 3 International Journal of Systems Science 3 International Journal of Theoretical Physics 3 Mathematical Methods in the Applied Sciences 3 Studia Mathematica 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Bulletin de la Société Mathématique de France 3 Canadian Mathematical Bulletin 3 Collectanea Mathematica 3 Journal of Multivariate Analysis 3 Kodai Mathematical Journal 3 Memoirs of the American Mathematical Society 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Rendiconti del Circolo Matemàtico di Palermo. Serie II 3 Circuits, Systems, and Signal Processing 3 Communications in Partial Differential Equations 3 Bulletin of the American Mathematical Society. New Series 3 Expositiones Mathematicae 3 Journal of Nonlinear Science 3 Russian Mathematics 3 Bulletin des Sciences Mathématiques 3 Journal of Nonparametric Statistics 3 Journal of Physics A: Mathematical and Theoretical 3 Concrete Operators ...and 194 more Serials all top 5 Cited in 56 Fields 513 Functions of a complex variable (30-XX) 255 Approximations and expansions (41-XX) 255 Operator theory (47-XX) 241 Functional analysis (46-XX) 180 Partial differential equations (35-XX) 159 Potential theory (31-XX) 135 Harmonic analysis on Euclidean spaces (42-XX) 87 Several complex variables and analytic spaces (32-XX) 48 Numerical analysis (65-XX) 33 Systems theory; control (93-XX) 32 Fluid mechanics (76-XX) 29 Combinatorics (05-XX) 29 Integral transforms, operational calculus (44-XX) 29 Probability theory and stochastic processes (60-XX) 28 Statistics (62-XX) 27 Real functions (26-XX) 25 Abstract harmonic analysis (43-XX) 24 Dynamical systems and ergodic theory (37-XX) 24 Information and communication theory, circuits (94-XX) 23 Special functions (33-XX) 18 Integral equations (45-XX) 17 Linear and multilinear algebra; matrix theory (15-XX) 17 Optics, electromagnetic theory (78-XX) 16 Computer science (68-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Number theory (11-XX) 13 Ordinary differential equations (34-XX) 13 Differential geometry (53-XX) 12 Algebraic geometry (14-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Global analysis, analysis on manifolds (58-XX) 10 Quantum theory (81-XX) 9 Measure and integration (28-XX) 9 Mechanics of deformable solids (74-XX) 8 History and biography (01-XX) 8 Convex and discrete geometry (52-XX) 8 Biology and other natural sciences (92-XX) 7 Mathematical logic and foundations (03-XX) 6 Operations research, mathematical programming (90-XX) 5 Sequences, series, summability (40-XX) 5 Geophysics (86-XX) 4 General topology (54-XX) 3 Relativity and gravitational theory (83-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 2 Mechanics of particles and systems (70-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-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 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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