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Shapiro, Harold Seymour

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Author ID: shapiro.harold-s Recent zbMATH articles by "Shapiro, Harold Seymour"
Published as: Shapiro, H. S.; Shapiro, Harold S.; Shapiro, Harold; Shapiro, H.
Homepage: https://people.kth.se/~shapiro/
External Links: MGP · Wikidata · GND
Documents Indexed: 158 Publications since 1953, including 7 Books
Biographic References: 2 Publications
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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 University Lecture Series
1 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova
1 Studia Mathematica, Seria Specjalna

Publications by Year

Citations contained in zbMATH Open

120 Publications have been cited 1,632 times in 1,256 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.
106
1970
On some interpolation problems for analytic functions. Zbl 0112.29701
Shapiro, H. S.; Shields, A. L.
96
1961
Topics in approximation theory. Zbl 0213.08501
Shapiro, H. S.
90
1971
The Schwarz function and its generalization to higher dimensions. Zbl 0784.30036
Shapiro, Harold S.
87
1992
Some theorems on Cebysev approximation. Zbl 0116.04502
Newman, D. J.; Shapiro, H. S.
79
1963
A unified approach to certain problems of approximation and minimization. Zbl 0111.06103
Rivlin, T. J.; Shapiro, H. S.
71
1961
Domains on which analytic functions satisfy quadrature identities. Zbl 0337.30029
Aharonov, Dov; Shapiro, Harold S.
70
1976
On the zeros of functions with finite Dirichlet integral and some related function spaces. Zbl 0115.06301
Shapiro, H. S.; Shields, A. L.
62
1962
Poincaré’s variational problem in potential theory. Zbl 1119.31001
Khavinson, Dmitry; Putinar, Mihai; Shapiro, Harold S.
50
2007
Singular measures and domains not of Smirnov type. Zbl 0174.37501
Duren, P. L.; Shapiro, H. S.; Shields, A. L.
49
1966
An algebraic theorem of E. Fischer, and the holomorphic Goursat problem. Zbl 0706.35034
Shapiro, Harold S.
45
1989
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
42
1993
On certain extremum problems for analytic functions. Zbl 0051.05604
Rogosinski, W. W.; Shapiro, H. S.
37
1953
What is a quadrature domain? Zbl 1086.30002
Gustafsson, Björn; Shapiro, Harold S.
29
2005
Certain Hilbert spaces of entire functions. Zbl 0201.46403
Newman, D. J.; Shapiro, H. S.
29
1966
Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044
Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C.
29
1994
Smoothing and approximation of functions. Zbl 0194.09101
Shapiro, H. S.
27
1969
Dirichlet’s problem when the data is an entire function. Zbl 0799.35030
Khavinson, Dmitry; Shapiro, Harold S.
26
1992
Alias-free sampling of random noise. Zbl 0121.14204
Shapiro, H. S.; Silverman, R. A.
26
1960
Generalized analytic continuation. Zbl 1009.30002
Ross, William T.; Shapiro, Harold S.
21
2002
Comparison theorems for a generalized modulus of continuity. Zbl 0217.16503
Boman, J.; Shapiro, H. S.
20
1971
Remarks on the reflection principle for harmonic functions. Zbl 0699.31016
Khavinson, Dmitry; Shapiro, Harold S.
18
1990
The Taylor coefficients of inner functions. Zbl 0104.29603
Newman, D. J.; Shapiro, Harold S.
18
1962
A Tauberian theorem related to approximation theory. Zbl 0165.13801
Shapiro, H. S.
18
1968
An elementary proof that the biharmonic Green function of an eccentric ellipse changes sign. Zbl 0794.35044
Shapiro, Harold S.; Tegmark, Max
17
1994
Two-dimensional shapes and lemniscates. Zbl 1246.37062
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
16
2011
Weakly invertible elements in certain function spaces, and generators in \(l_ 1\). Zbl 0133.37303
Shapiro, H. S.
16
1964
The level curves of harmonic functions. Zbl 0144.36405
Flatto, L.; Newman, D. J.; Shapiro, H. S.
16
1966
Majorant problems for Fourier coefficients. Zbl 0302.42004
Shapiro, Harold S.
15
1975
Extremal functions in invariant subspaces of Bergman spaces. Zbl 0853.30023
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.
14
1996
A combinatory detection problem. Zbl 0123.00205
Söderberg, Staffan; Shapiro, H. S.
14
1963
Some negative theorems of approximation theory. Zbl 0123.09202
Shapiro, Harold S.
14
1964
Some uniqueness problems in approximation theory. Zbl 0092.28703
Rivlin, T. J.; Shapiro, H. S.
13
1960
Functional equations and harmonic extensions. Zbl 0793.30002
Hansen, Lowell J.; Shapiro, Harold S.
11
1994
On the mathematical theory of error correcting codes. Zbl 0109.10706
Shapiro, H. S.; Slotnick, D. L.
11
1959
A minimal area problem in conformal mapping. Zbl 0932.30021
Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu.
10
1999
The Friedrichs operator of a planar domain. Zbl 0979.47032
Putinar, Mihai; Shapiro, Harold S.
10
2000
Some theorems on Cebysev approximation. II. Zbl 0154.31104
Shapiro, H. S.
10
1967
The mixed Cauchy problem for holomorphic partial differential operators. Zbl 0836.35034
Ebenfelt, Peter; Shapiro, Harold S.
9
1995
On cyclic vectors of the backward shift. Zbl 0152.13902
Douglas, R. G.; Shapiro, H. S.; Shields, A. L.
9
1967
Monotonic singular functions of high smoothness. Zbl 0165.06904
Shapiro, H. S.
9
1968
Some Tauberian theorems with applications to approximation theory. Zbl 0165.13702
Shapiro, H. S.
9
1968
Fischer spaces of entire functions. Zbl 0191.41501
Newman, D. J.; Shapiro, H. S.
9
1968
A free boundary problem related to single-layer potentials. Zbl 1035.31001
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
8
2002
The Cauchy-Kowalevskaya theorem and generalizations. Zbl 0819.35006
Ebenfelt, Peter; Shapiro, Harold S.
8
1995
Extremal problems for nonvanishing functions in Bergman spaces. Zbl 1089.30032
Aharonov, Dov; Bénéteau, Catherine; Khavinson, Dmitry; Shapiro, Harold
7
2005
On zero and one points of analytic functions. Zbl 0843.30011
Blondel, Vincent D.; Rupp, Rudolf; Shapiro, Harold S.
7
1995
Algebraic aspects of the Dirichlet problem. Zbl 1083.31009
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
7
2005
Best approximation in the mean by analytic and harmonic functions. Zbl 0971.41014
Khavinson, Dmitry; McCarthy, John E.; Shapiro, Harold S.
7
2000
Restriction operators, balayage and doubly orthogonal systems of analytic functions. Zbl 1027.30057
Gustafsson, Björn; Putinar, Mihai; Shapiro, Harold S.
7
2003
Jackson’s theorem in higher dimensions. Zbl 0158.05506
Newman, D. J.; Shapiro, H. S.
7
1964
On the classical Dirichlet problem in the plane with rational data. Zbl 1173.35416
Bell, S. R.; Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
7
2006
An inverse problem for the double layer potential. Zbl 1013.31001
Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S.
6
2001
The Friedrichs operator of a planar domain. II. Zbl 1004.47014
Putinar, Mihai; Shapiro, Harold S.
6
2001
Lebesgue constants for spherical partial sums. Zbl 0292.42012
Shapiro, H. S.
6
1975
The expansion of mean-periodic functions in series of exponentials. Zbl 0168.31802
Shapiro, H. S.
6
1958
Remarks concerning domains of Smirnov type. Zbl 0179.11501
Shapiro, H. S.
6
1966
Extending solutions of holomorphic partial differential equations across real hypersurfaces. Zbl 0933.35036
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
5
1998
The Vekua hull of a plane domain. Zbl 0705.35018
Khavinson, Dmitry; Shapiro, Harold S.
5
1990
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
On domains in which harmonic functions satisfy generalized mean value properties. Zbl 0882.31002
Gustafsson, Björn; Sakai, Makoto; Shapiro, Harold S.
5
1997
Regularity properties of the element of closest approximation. Zbl 0273.43005
Shapiro, Harold S.
5
1973
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
Overconvergence of sequences of rational functions with space poles. Zbl 0159.41903
Shapiro, H. S.
5
1968
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
Weakly invertible elements in the space of square-summable holomorphic functions. Zbl 0316.30025
Aharonov, D.; Shapiro, H. S.; Shields, A. L.
4
1974
Notes on a theorem of Baouendi and Rothschild. Zbl 0835.31002
Shapiro, H. S.
4
1995
Analytic continuation of Dirichlet series. Zbl 0841.30004
Anderson, J. M.; Khavinson, D.; Shapiro, H. S.
4
1995
Reconstructing a function from its values on a subset of its domain - a Hilbert space approach. Zbl 0594.41021
Shapiro, Harold S.
4
1986
Functions with a spectral gap. Zbl 0259.42026
Shapiro, Harold S.
4
1973
On a class of extremal problems for polynomials in the unit circle. Zbl 0097.28001
Shapiro, H. S.
4
1961
Reproducing kernels and Beurling’s theorem. Zbl 0147.11403
Shapiro, H. S.
4
1964
Invariant subspaces in Bergman spaces and Hedenmalm’s boundary value problem. Zbl 0828.30025
Khavinson, D.; Shapiro, H. S.
3
1994
Unbounded quadrature domains. Zbl 0634.30037
Shapiro, Harold S.
3
1987
Unimodular functions and uniform boundedness. Zbl 0682.46017
Fernández, J.; Hui, S.; Shapiro, H.
3
1989
Graphs and functional equations. Zbl 0785.30011
Hansen, Lowell J.; Shapiro, Harold S.
3
1993
Rate of decay of convolution vs. frequency of sign changes. Zbl 1001.31002
Shapiro, H. S.
3
2001
A minimal area problem in conformal mapping. II. Zbl 0980.30016
Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu.
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
A class of singular functions. Zbl 0177.45002
Shapiro, H. S.
3
1968
Generalized analytic continuation. Zbl 0181.35103
Shapiro, Harold S.
3
1968
Boundary values of bounded holomorphic functions of several variables. Zbl 0208.34903
Shapiro, H. S.
3
1971
A characterization of certain weak\(^*\)-closed subalgebras of \(L^\infty\). Zbl 0347.46060
Pathak, P. K.; Shapiro, H. S.
2
1977
Best approximation in the supremum norm by analytic and harmonic functions. Zbl 1134.41320
Khavinson, Dmitry; Shapiro, Harold S.
2
2001
Bounded functions with one-sided spectral gaps. Zbl 0235.42007
Shapiro, Harold S.
2
1972
Analytic continuation of Jacobi polynomial expansions. Zbl 0879.30001
Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S.
2
1997
Stefan Bergman’s theory of doubly-orthogonal functions. An operator- theoretic approach. Zbl 0364.30012
Shapiro, H. S.
2
1979
Toeplitz operators in Segal-Bargmann spaces of vector-valued functions vector-valued functions. Zbl 1064.47026
Cichoń, Dariusz; Shapiro, Harold S.
2
2003
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
Teichmüller-type annihilators of \(L^ 1\)-analytic functions. Zbl 0697.30019
Reich, Edgar; Shapiro, Harold S.
2
1990
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
The heat equation and analytic continuation: Ivar Fredholm’s first paper. Zbl 0829.35002
Khavinson, D.; Shapiro, H. S.
2
1994
Newtonian capacity and quasi-balayage. Zbl 0991.31004
Hayman, W. K.; Karp, L.; Shapiro, H. S.
2
2000
Global geometric aspects of Cauchy’s problem for the Laplace operator. Zbl 1112.35309
Shapiro, H. S.
2
1991
Weak compactness in certain star-shift invariant subspaces. Zbl 1071.30055
Akeroyd, John R.; Khavinson, Dmitry; Shapiro, Harold S.
2
2003
A remark concerning Littlewood’s Tauberian theorem. Zbl 0144.05501
Shapiro, H. S.
2
1965
Two-dimensional shapes and lemniscates. Zbl 1246.37062
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
16
2011
On a uniqueness property of harmonic functions. Zbl 1151.31005
Khavinson, Dmitry; Shapiro, Harold S.
1
2008
Poincaré’s variational problem in potential theory. Zbl 1119.31001
Khavinson, Dmitry; Putinar, Mihai; Shapiro, Harold S.
50
2007
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.
7
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.
29
2005
Extremal problems for nonvanishing functions in Bergman spaces. Zbl 1089.30032
Aharonov, Dov; Bénéteau, Catherine; Khavinson, Dmitry; Shapiro, Harold
7
2005
Algebraic aspects of the Dirichlet problem. Zbl 1083.31009
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
7
2005
Restriction operators, balayage and doubly orthogonal systems of analytic functions. Zbl 1027.30057
Gustafsson, Björn; Putinar, Mihai; Shapiro, Harold S.
7
2003
Toeplitz operators in Segal-Bargmann spaces of vector-valued functions vector-valued functions. Zbl 1064.47026
Cichoń, Dariusz; Shapiro, Harold S.
2
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.
21
2002
A free boundary problem related to single-layer potentials. Zbl 1035.31001
Ebenfelt, P.; Khavinson, D.; Shapiro, H. S.
8
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.
6
2001
The Friedrichs operator of a planar domain. II. Zbl 1004.47014
Putinar, Mihai; Shapiro, Harold S.
6
2001
Rate of decay of convolution vs. frequency of sign changes. Zbl 1001.31002
Shapiro, H. S.
3
2001
A minimal area problem in conformal mapping. II. Zbl 0980.30016
Aharonov, Dov; Shapiro, Harold S.; Solynin, Alexander Yu.
3
2001
Best approximation in the supremum norm by analytic and harmonic functions. Zbl 1134.41320
Khavinson, Dmitry; Shapiro, Harold S.
2
2001
The Friedrichs operator of a planar domain. Zbl 0979.47032
Putinar, Mihai; Shapiro, Harold S.
10
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.
10
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.
1
1998
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
On domains in which harmonic functions satisfy generalized mean value properties. Zbl 0882.31002
Gustafsson, Björn; Sakai, Makoto; Shapiro, Harold S.
5
1997
Analytic continuation of Jacobi polynomial expansions. Zbl 0879.30001
Ebenfelt, Peter; Khavinson, Dmitry; Shapiro, Harold S.
2
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.
14
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.
9
1995
The Cauchy-Kowalevskaya theorem and generalizations. Zbl 0819.35006
Ebenfelt, Peter; Shapiro, Harold S.
8
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.
4
1995
Analytic continuation of Dirichlet series. Zbl 0841.30004
Anderson, J. M.; Khavinson, D.; Shapiro, H. S.
4
1995
Invariant subspaces in Bergman spaces and the biharmonic equation. Zbl 0833.46044
Duren, P.; Khavinson, D.; Shapiro, H. S.; Sundberg, C.
29
1994
An elementary proof that the biharmonic Green function of an eccentric ellipse changes sign. Zbl 0794.35044
Shapiro, Harold S.; Tegmark, Max
17
1994
Functional equations and harmonic extensions. Zbl 0793.30002
Hansen, Lowell J.; Shapiro, Harold S.
11
1994
Invariant subspaces in Bergman spaces and Hedenmalm’s boundary value problem. Zbl 0828.30025
Khavinson, D.; Shapiro, H. S.
3
1994
The heat equation and analytic continuation: Ivar Fredholm’s first paper. Zbl 0829.35002
Khavinson, D.; Shapiro, H. S.
2
1994
Contractive zero-divisors in Bergman spaces. Zbl 0739.30029
Duren, Peter; Khavinson, Dmitry; Shapiro, Harold S.; Sundberg, Carl
42
1993
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.
87
1992
Dirichlet’s problem when the data is an entire function. Zbl 0799.35030
Khavinson, Dmitry; Shapiro, Harold S.
26
1992
Global geometric aspects of Cauchy’s problem for the Laplace operator. Zbl 1112.35309
Shapiro, H. S.
2
1991
Remarks concerning cyclic vectors in Hardy and Bergman spaces. Zbl 0745.30047
Akeroyd, John; Khavinson, Dmitry; Shapiro, Harold S.
1
1991
Remarks on the reflection principle for harmonic functions. Zbl 0699.31016
Khavinson, Dmitry; Shapiro, Harold S.
18
1990
The Vekua hull of a plane domain. Zbl 0705.35018
Khavinson, Dmitry; Shapiro, Harold S.
5
1990
Teichmüller-type annihilators of \(L^ 1\)-analytic functions. Zbl 0697.30019
Reich, Edgar; Shapiro, Harold S.
2
1990
An algebraic theorem of E. Fischer, and the holomorphic Goursat problem. Zbl 0706.35034
Shapiro, Harold S.
45
1989
Unimodular functions and uniform boundedness. Zbl 0682.46017
Fernández, J.; Hui, S.; Shapiro, H.
3
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.
3
1987
Reconstructing a function from its values on a subset of its domain - a Hilbert space approach. Zbl 0594.41021
Shapiro, Harold S.
4
1986
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.
70
1976
The modulus of continuity of an analytic function. Zbl 0327.30036
Shapiro, H. S.
1
1976
Majorant problems for Fourier coefficients. Zbl 0302.42004
Shapiro, Harold S.
15
1975
Lebesgue constants for spherical partial sums. Zbl 0292.42012
Shapiro, H. S.
6
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
Regularity properties of the element of closest approximation. Zbl 0273.43005
Shapiro, Harold S.
5
1973
Functions with a spectral gap. Zbl 0259.42026
Shapiro, Harold S.
4
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.
90
1971
Comparison theorems for a generalized modulus of continuity. Zbl 0217.16503
Boman, J.; Shapiro, H. S.
20
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.
106
1970
Smoothing and approximation of functions. Zbl 0194.09101
Shapiro, H. S.
27
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.
18
1968
Monotonic singular functions of high smoothness. Zbl 0165.06904
Shapiro, H. S.
9
1968
Some Tauberian theorems with applications to approximation theory. Zbl 0165.13702
Shapiro, H. S.
9
1968
Fischer spaces of entire functions. Zbl 0191.41501
Newman, D. J.; Shapiro, H. S.
9
1968
Overconvergence of sequences of rational functions with space poles. Zbl 0159.41903
Shapiro, H. S.
5
1968
A class of singular functions. Zbl 0177.45002
Shapiro, H. S.
3
1968
Generalized analytic continuation. Zbl 0181.35103
Shapiro, Harold S.
3
1968
Smoothness of the boundary function of a holomorphic function of bounded type. Zbl 0165.40204
Shapiro, H. S.
2
1968
Some theorems on Cebysev approximation. II. Zbl 0154.31104
Shapiro, H. S.
10
1967
On cyclic vectors of the backward shift. Zbl 0152.13902
Douglas, R. G.; Shapiro, H. S.; Shields, A. L.
9
1967
Singular measures and domains not of Smirnov type. Zbl 0174.37501
Duren, P. L.; Shapiro, H. S.; Shields, A. L.
49
1966
Certain Hilbert spaces of entire functions. Zbl 0201.46403
Newman, D. J.; Shapiro, H. S.
29
1966
The level curves of harmonic functions. Zbl 0144.36405
Flatto, L.; Newman, D. J.; Shapiro, H. S.
16
1966
Remarks concerning domains of Smirnov type. Zbl 0179.11501
Shapiro, H. S.
6
1966
Weighted polynomial approximation and boundary behaviour of analytic functions. Zbl 0174.36701
Shapiro, H. S.
1
1966
Large and small subspaces of Hilbert space. Zbl 0132.34902
Erdős, Pál; Shapiro, H. S.; Shields, A. L.
5
1965
A remark concerning Littlewood’s Tauberian theorem. Zbl 0144.05501
Shapiro, H. S.
2
1965
Weakly invertible elements in certain function spaces, and generators in \(l_ 1\). Zbl 0133.37303
Shapiro, H. S.
16
1964
Some negative theorems of approximation theory. Zbl 0123.09202
Shapiro, Harold S.
14
1964
Jackson’s theorem in higher dimensions. Zbl 0158.05506
Newman, D. J.; Shapiro, H. S.
7
1964
...and 20 more Documents
all top 5

Cited by 1,225 Authors

30 Shapiro, Harold Seymour
23 Khavinson, Dmitry S.
20 Putinar, Mihai
18 Gustafsson, Bjorn
17 Kang, Hyeonbae
16 Ebenfelt, Peter
15 Render, Hermann
12 Bell, Steven R.
11 Bartelt, Martin W.
11 Fritzsche, Bernd
11 Kirstein, Bernd
11 Kroó, András
11 Savina, Tatiana V.
10 Ammari, Habib M.
10 Hartmann, Andreas
10 Lundberg, Erik
10 Richter, Stefan
10 Ross, William T. jun.
9 Ando, Kazunori
9 Dyakonov, Konstantin M.
8 Hedenmalm, Håkan
8 Napalkov, Valentin Vasil’evich
8 Nessel, Rolf Joachim
7 Arov, Damir Zyamovich
7 Bénéteau, Catherine
7 Fuhrmann, Paul A.
7 Gorkin, Pamela B.
7 Seip, Kristian
7 Shields, Allen L.
7 Solynin, Alexander Yu.
7 Sundberg, Carl-Erik W.
7 Trebels, Walter
7 Yu, SangHyeon
6 Aleman, Alexandru
6 Amar, Eric
6 Cowen, Carl C.
6 Ferguson, Timothy
6 Miyanishi, Yoshihisa
6 Nürnberger, Günther
6 Perfekt, Karl-Mikael
6 Schempp, Walter Johannes
6 Seubert, Steven M.
6 Shimorin, Serguei
5 Borichev, Aleksandr Aleksandrovich
5 Brosowski, Bruno
5 Crowdy, Darren Gregory
5 Dreseler, Bernd
5 Duren, Peter Larkin
5 Fedorovskiy, Konstantin Yu.
5 Frankfurt, Richard
5 Garcia, Stephan Ramon
5 Gardiner, Stephen J.
5 Karp, Lavi
5 Korenblum, Boris
5 Lim, Mikyoung
5 Mashreghi, Javad
5 Nikol’skiĭ, Nikolaĭ Kapitonovich
5 Queffélec, Hervé
5 Sakai, Makoto
5 Schmidt, Darrell
5 Shahgholian, Henrik
5 Shapiro, Joel H.
5 Sweers, Guido H.
5 Swetits, John J.
5 Tikhonov, Sergey Yur’evich
5 Younsi, Malik
4 Agranovsky, Mark L.
4 Aharonov, Dov
4 Anderson, James Milne
4 Brannigan, Michael
4 Cheng, Raymond
4 Fleeman, Matthew C.
4 Fricain, Emmanuel
4 Ganzburg, Michael Iosifovich
4 Gorbachëv, Dmitriĭ Viktorovich
4 Grunau, Hans-Christoph
4 Horowitz, Charles
4 Huhtanen, Marko
4 Li, Wu
4 Makarov, Nikolai Georgievich
4 McCarthy, John Edward
4 Mullabaeva, A. U.
4 Nishishiraho, Toshihiko
4 Olofsson, Anders
4 Peláez, José Ángel
4 Pott, Sandra
4 Richards, Trevor
4 Rovnyak, James
4 Seco, Daniel
4 Sola, Alan A.
4 Taylor, Gerald D.
4 Vinogradov, S. A.
4 Wick, Brett D.
4 Zhu, Kehe
3 Avkhadiev, Farit Gabidinovich
3 Babenko, Aleksandr Grigor’evich
3 Baranov, Anton D.
3 Baratchart, Laurent
3 Barnard, Roger W.
3 Beller, Eliyahu
...and 1,125 more Authors
all top 5

Cited in 248 Serials

118 Journal of Approximation Theory
64 Journal of Mathematical Analysis and Applications
61 Proceedings of the American Mathematical Society
52 Journal of Functional Analysis
46 Journal d’Analyse Mathématique
41 Transactions of the American Mathematical Society
35 Computational Methods and Function Theory
27 Mathematical Notes
27 Integral Equations and Operator Theory
24 Arkiv för Matematik
23 Mathematische Zeitschrift
19 Journal of Soviet Mathematics
17 Advances in Mathematics
17 Analysis and Mathematical Physics
16 Bulletin of the American Mathematical Society
15 Archive for Rational Mechanics and Analysis
14 Israel Journal of Mathematics
13 Annales de l’Institut Fourier
13 Archiv der Mathematik
12 Analysis Mathematica
12 Journal of Mathematical Sciences (New York)
11 Tohoku Mathematical Journal. Second Series
11 Constructive Approximation
10 Acta Mathematica Academiae Scientiarum Hungaricae
10 Numerical Functional Analysis and Optimization
10 Doklady Mathematics
10 Complex Variables and Elliptic Equations
9 Ukrainian Mathematical Journal
9 Numerische Mathematik
9 Siberian Mathematical Journal
9 Journal de Mathématiques Pures et Appliquées. Neuvième Série
9 Potential Analysis
9 Complex Analysis and Operator Theory
8 Mathematische Nachrichten
8 Monatshefte für Mathematik
8 The Journal of Geometric Analysis
8 Linear Algebra and its Applications
8 Proceedings of the Steklov Institute of Mathematics
7 Acta Mathematica
7 Duke Mathematical Journal
7 Mathematische Annalen
7 The Journal of Fourier Analysis and Applications
6 Rocky Mountain Journal of Mathematics
6 Annali di Matematica Pura ed Applicata. Serie Quarta
6 Journal of Computational and Applied Mathematics
6 Systems & Control Letters
6 Indagationes Mathematicae. New Series
5 Lithuanian Mathematical Journal
5 Mathematics of Computation
5 Results in Mathematics
5 Theoretical Computer Science
5 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
5 St. Petersburg Mathematical Journal
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Applicable Analysis
4 Communications in Mathematical Physics
4 Discrete Mathematics
4 International Journal of Control
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Functional Analysis and its Applications
4 Manuscripta Mathematica
4 Mathematika
4 Proceedings of the Japan Academy. Series A
4 Acta Mathematica Hungarica
4 Physica D
4 Journal of Complexity
4 SIAM Journal on Applied Mathematics
4 Sbornik: Mathematics
3 Computers & Mathematics with Applications
3 International Journal of Systems Science
3 International Journal of Theoretical Physics
3 ZAMP. Zeitschrift für angewandte Mathematik und Physik
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
3 Collectanea Mathematica
3 Journal of Differential Equations
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 European Journal of Applied Mathematics
3 Communications in Partial Differential Equations
3 Bulletin of the American Mathematical Society. New Series
3 Russian Mathematics
3 Applied and Computational Harmonic Analysis
3 Journal of Nonparametric Statistics
3 Complex Analysis and its Synergies
3 Nonlinear Analysis. Theory, Methods & Applications
2 Bulletin of the Australian Mathematical Society
2 Inverse Problems
2 Journal of Mathematical Physics
2 Mathematical Methods in the Applied Sciences
2 Studia Mathematica
2 Bulletin de la Société Mathématique de France
2 Computing
2 Czechoslovak Mathematical Journal
2 Illinois Journal of Mathematics
2 Journal of Combinatorial Theory. Series A
2 Journal of Computer and System Sciences
...and 148 more Serials
all top 5

Cited in 55 Fields

439 Functions of a complex variable (30-XX)
242 Approximations and expansions (41-XX)
222 Operator theory (47-XX)
216 Functional analysis (46-XX)
137 Partial differential equations (35-XX)
129 Potential theory (31-XX)
113 Harmonic analysis on Euclidean spaces (42-XX)
80 Several complex variables and analytic spaces (32-XX)
45 Numerical analysis (65-XX)
32 Systems theory; control (93-XX)
28 Probability theory and stochastic processes (60-XX)
27 Integral transforms, operational calculus (44-XX)
27 Statistics (62-XX)
26 Real functions (26-XX)
25 Fluid mechanics (76-XX)
23 Information and communication theory, circuits (94-XX)
20 Abstract harmonic analysis (43-XX)
19 Special functions (33-XX)
18 Dynamical systems and ergodic theory (37-XX)
17 Linear and multilinear algebra; matrix theory (15-XX)
14 Combinatorics (05-XX)
14 Integral equations (45-XX)
14 Calculus of variations and optimal control; optimization (49-XX)
13 Number theory (11-XX)
11 Differential geometry (53-XX)
10 Algebraic geometry (14-XX)
10 Computer science (68-XX)
9 Optics, electromagnetic theory (78-XX)
8 Measure and integration (28-XX)
8 Mechanics of deformable solids (74-XX)
8 Statistical mechanics, structure of matter (82-XX)
7 Mathematical logic and foundations (03-XX)
7 Ordinary differential equations (34-XX)
7 Convex and discrete geometry (52-XX)
7 Quantum theory (81-XX)
7 Biology and other natural sciences (92-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Operations research, mathematical programming (90-XX)
5 History and biography (01-XX)
5 Sequences, series, summability (40-XX)
3 General topology (54-XX)
3 Relativity and gravitational theory (83-XX)
3 Astronomy and astrophysics (85-XX)
3 Geophysics (86-XX)
2 General and overarching topics; collections (00-XX)
2 Topological groups, Lie groups (22-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 Geometry (51-XX)
1 Manifolds and cell complexes (57-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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