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Shapiro, Victor L. (b. 1924 d. 2013)

Author ID: shapiro.victor-l Recent zbMATH articles by "Shapiro, Victor L."
Published as: Shapiro, Victor L.; Shapiro, V. L.
External Links: MGP · Wikidata · GND · IdRef
Documents Indexed: 98 Publications since 1953, including 3 Books
Biographic References: 1 Publication
Co-Authors: 11 Co-Authors with 13 Joint Publications
46 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

72 Publications have been cited 319 times in 168 Documents Cited by Year
Fourier series in several variables. Zbl 0267.42011
Shapiro, Victor L.
27
1964
Quasilinear ellipticity and the 1st eigenvalue. Zbl 0785.35043
Shapiro, Victor L.
14
1991
Fourier series in several variables with applications to partial differential equations. Zbl 1228.42001
Shapiro, Victor L.
13
2011
Circular summability \(C\) of double trigonometric series. Zbl 0055.29801
Shapiro, Victor L.
12
1954
The divergence theorem for discontinuous vector fields. Zbl 0083.28401
Shapiro, Victor L.
12
1958
Uniqueness of multiple trigonometric series. Zbl 0089.27806
Shapiro, Victor L.
11
1957
Singular quasilinearity and higher eigenvalues. Zbl 1287.35028
Shapiro, Victor L.
9
2001
Sets of uniqueness on the group \(2^ \omega\). Zbl 0128.29401
Crittenden, R. B.; Shapiro, V. L.
9
1965
Jumping nonlinearities and weighted Sobolev spaces. Zbl 1210.35124
Rumbos, Adolfo J.; Shapiro, Victor L.
8
2005
Resonance, distributions and semilinear elliptic partial differential equations. Zbl 0565.35043
Shapiro, Victor L.
8
1984
A theorem on a special class of near-Vandermonde determinants. Zbl 0053.00803
Shapiro, V. L.
8
1953
Topics in Fourier and geometric analysis. Zbl 0118.06302
Shapiro, V. L.
8
1961
Isolated singularities for solutions of the nonlinear stationary Navier- Stokes equations. Zbl 0287.35078
Shapiro, Victor L.
7
1974
Subharmonic functions and Hausdorff measure. Zbl 0368.31007
Shapiro, Victor L.
7
1978
Isolated singularities in steady state fluid flow. Zbl 0341.35012
Shapiro, Victor L.
6
1976
Removable sets for pointwise solutions of the generalized Cauchy-Riemann equations. Zbl 0209.41402
Shapiro, V. L.
6
1970
Generalized Laplacians. Zbl 0073.05702
Shapiro, Victor L.
6
1956
\(U(\epsilon)\)-sets for Walsh series. Zbl 0154.06302
Shapiro, V. L.
6
1965
On Green’s theorem. Zbl 0079.27902
Shapiro, Victor L.
6
1957
Special functions and singular quasilinear partial differential equations. Zbl 0781.35016
Shapiro, Victor L.
5
1991
Generalized and classical solutions of the nonlinear stationary Navier- Stokes equations. Zbl 0324.35074
Shapiro, Victor L.
5
1976
The uniqueness of functions harmonic in the interior of the unit disk. Zbl 0134.09402
Shapiro, V. L.
5
1963
The approximate divergence operator. Zbl 0179.09604
Shapiro, V. L.
5
1969
The uniqueness of solutions of the heat equation in an infinite strip. Zbl 0152.30603
Shapiro, V. L.
5
1966
One-sided resonance problems for quasilinear elliptic operators. Zbl 0974.35035
Robinson, Stephen B.; Rumbos, Adolfo J.; Shapiro, Victor L.
4
2001
Resonance and quasilinear parabolic partial differential equations. Zbl 0815.35050
Lefton, Lew E.; Shapiro, Victor L.
4
1993
Resonance and quasilinear ellipticity. Zbl 0596.35011
Shapiro, Victor L.
4
1986
Resonance and the second BVP. Zbl 0724.35045
Shapiro, Victor L.
4
1991
Sets of uniqueness on the 2-torus. Zbl 0266.42021
Shapiro, Victor L.
4
1972
Capacity and absolute Abel summability of multiple Fourier series. Zbl 0281.42009
Lippman, Gary E.; Shapiro, Victor L.
4
1974
Logarithmic capacity of sets and double trigonometric series. Zbl 0057.30502
Shapiro, V. L.
4
1954
Cantor-type uniqueness of multiple trigonometric integrals. Zbl 0066.05002
Shapiro, Victor L.
4
1955
Nonlinear distributions and quasilinear ellipticity. Zbl 0629.35043
Shapiro, Victor L.
3
1987
Superlinear quasilinearity and the second eigenvalue. Zbl 0976.35017
Shapiro, Victor L.
3
2001
One-sided resonance for a quasilinear variational problem. Zbl 0882.35044
Rumbos, Adolfo J.; Shapiro, Victor L.
3
1997
A counterexample in the theory of planar viscous incompressible flow. Zbl 0338.35076
Shapiro, Victor L.
3
1976
Characteristic planes and pointwise solutions of the heat equation. Zbl 0202.10801
Shapiro, V. L.
3
1970
Sets of uniqueness for the vibrating string problem. Zbl 0216.12804
Shapiro, V. L.
3
1969
The Abel summability of conjugate multiple Fourier-Stieltjes integrals. Zbl 0211.41802
Philipp, S. P.; Shapiro, V. L.; Sills, W. H.
3
1971
Summability and uniqueness of double trigonometric integrals. Zbl 0058.05701
Shapiro, Victor L.
3
1954
Generalized Laplacians of the second kind and double trigonometric series. Zbl 0059.05403
Shapiro, Victor L.
3
1954
The Laplacian of Fourier transforms. Zbl 0065.09404
Shapiro, Victor L.
3
1955
A note on the uniqueness of double trigonometric series. Zbl 0052.06304
Shapiro, Victor L.
3
1953
Square summation and localization of double trigonometric series. Zbl 0053.04202
Shapiro, Victor L.
3
1953
An extension of results in the uniqueness theory of double trigonometric series. Zbl 0053.04203
Shapiro, Victor L.
3
1953
Localization of conjugate multiple trigonometric series. Zbl 0064.30603
Shapiro, Victor L.
3
1955
Symmetric exterior differentiation and flat forms. Zbl 0107.27305
Shapiro, V. L.
3
1962
Quasilinear ellipticity and jumping nonlinearities. Zbl 0786.35056
Lefton, Lew E.; Shapiro, Victor L.
2
1992
Quasilinearity below the 1st eigenvalue. Zbl 0970.35046
Shapiro, Victor L.
2
2001
Pseudo-eigenvalues and quasilinear elliptic systems. Zbl 1042.35531
Shapiro, Victor L.
2
2001
Positive Newtonian capacity and stationary viscous incompressible flow. Zbl 0342.35048
Shapiro, Victor L.
2
1974
The conjugate Fourier-Stieltjes integral in the plane. Zbl 0188.18303
Shapiro, V. L.
2
1959
Removable sets for pointwise subharmonic functions. Zbl 0238.31005
Shapiro, Victor L.
2
1971
Spherical convergence, bounded variation, and singular integrals on the N-torus. Zbl 0221.42017
Shapiro, Victor L.
2
1971
The uniqueness of double trigonometric series under circular convergence. Zbl 0073.28601
Shapiro, Victor L.
2
1956
Localization on spheres. Zbl 0079.09203
Shapiro, Victor L.
2
1957
Time-periodic quasi-linear reaction-diffusion equations. Zbl 0857.35058
Legner, Mary M.; Shapiro, Victor L.
1
1996
From reaction-diffusion to spherical harmonics. Zbl 0884.35053
Shapiro, Victor L.
1
1997
Resonance and higher order quasilinear ellipticity. Zbl 0686.35037
Shapiro, Victor L.
1
1988
One-sided conditions for quasilinear Jacobi differential equations. Zbl 0727.34003
Shapiro, Victor L.
1
1990
Algebraic integers and distributions on the N-torus. Zbl 0259.46039
Shapiro, Victor L.
1
1973
Singular integrals and spherical convergence. Zbl 0242.42022
Shapiro, Victor L.
1
1972
Removable sets for pointwise C\(^a\) solutions of elliptic partial differential equations. Zbl 0249.35020
Diederich, James R.; Shapiro, Victor L.
1
1972
The circulation of vector fields. Zbl 0123.14501
Shapiro, Victor L.
1
1963
Generalized \(L_2\)-laplacians. Zbl 0070.32704
Shapiro, Victor L.
1
1956
The symmetric derivatives on the \((k-1)\)-dimensional hypersphere. Zbl 0070.32801
Shapiro, Victor L.
1
1956
The divergence theorem without differentiability conditions. Zbl 0079.27903
Shapiro, Victor L.
1
1957
Harmonic analysis and the theory of cochains. Zbl 0133.00301
Shapiro, Victor L.
1
1964
Bounded generalized analytic functions on the torus. Zbl 0178.40403
Shapiro, V. L.
1
1964
Saddle points and Ritz-Galerkin approximations. Zbl 0464.49024
Shapiro, Victor L.
1
1980
N-functions and the weak comparison principle. Zbl 0434.35087
Shapiro, Victor L.
1
1980
Poisson integrals and nontangential limits. Zbl 1111.31005
Shapiro, Victor L.
1
2006
Fourier series in several variables with applications to partial differential equations. Zbl 1228.42001
Shapiro, Victor L.
13
2011
Poisson integrals and nontangential limits. Zbl 1111.31005
Shapiro, Victor L.
1
2006
Jumping nonlinearities and weighted Sobolev spaces. Zbl 1210.35124
Rumbos, Adolfo J.; Shapiro, Victor L.
8
2005
Singular quasilinearity and higher eigenvalues. Zbl 1287.35028
Shapiro, Victor L.
9
2001
One-sided resonance problems for quasilinear elliptic operators. Zbl 0974.35035
Robinson, Stephen B.; Rumbos, Adolfo J.; Shapiro, Victor L.
4
2001
Superlinear quasilinearity and the second eigenvalue. Zbl 0976.35017
Shapiro, Victor L.
3
2001
Quasilinearity below the 1st eigenvalue. Zbl 0970.35046
Shapiro, Victor L.
2
2001
Pseudo-eigenvalues and quasilinear elliptic systems. Zbl 1042.35531
Shapiro, Victor L.
2
2001
One-sided resonance for a quasilinear variational problem. Zbl 0882.35044
Rumbos, Adolfo J.; Shapiro, Victor L.
3
1997
From reaction-diffusion to spherical harmonics. Zbl 0884.35053
Shapiro, Victor L.
1
1997
Time-periodic quasi-linear reaction-diffusion equations. Zbl 0857.35058
Legner, Mary M.; Shapiro, Victor L.
1
1996
Resonance and quasilinear parabolic partial differential equations. Zbl 0815.35050
Lefton, Lew E.; Shapiro, Victor L.
4
1993
Quasilinear ellipticity and jumping nonlinearities. Zbl 0786.35056
Lefton, Lew E.; Shapiro, Victor L.
2
1992
Quasilinear ellipticity and the 1st eigenvalue. Zbl 0785.35043
Shapiro, Victor L.
14
1991
Special functions and singular quasilinear partial differential equations. Zbl 0781.35016
Shapiro, Victor L.
5
1991
Resonance and the second BVP. Zbl 0724.35045
Shapiro, Victor L.
4
1991
One-sided conditions for quasilinear Jacobi differential equations. Zbl 0727.34003
Shapiro, Victor L.
1
1990
Resonance and higher order quasilinear ellipticity. Zbl 0686.35037
Shapiro, Victor L.
1
1988
Nonlinear distributions and quasilinear ellipticity. Zbl 0629.35043
Shapiro, Victor L.
3
1987
Resonance and quasilinear ellipticity. Zbl 0596.35011
Shapiro, Victor L.
4
1986
Resonance, distributions and semilinear elliptic partial differential equations. Zbl 0565.35043
Shapiro, Victor L.
8
1984
Saddle points and Ritz-Galerkin approximations. Zbl 0464.49024
Shapiro, Victor L.
1
1980
N-functions and the weak comparison principle. Zbl 0434.35087
Shapiro, Victor L.
1
1980
Subharmonic functions and Hausdorff measure. Zbl 0368.31007
Shapiro, Victor L.
7
1978
Isolated singularities in steady state fluid flow. Zbl 0341.35012
Shapiro, Victor L.
6
1976
Generalized and classical solutions of the nonlinear stationary Navier- Stokes equations. Zbl 0324.35074
Shapiro, Victor L.
5
1976
A counterexample in the theory of planar viscous incompressible flow. Zbl 0338.35076
Shapiro, Victor L.
3
1976
Isolated singularities for solutions of the nonlinear stationary Navier- Stokes equations. Zbl 0287.35078
Shapiro, Victor L.
7
1974
Capacity and absolute Abel summability of multiple Fourier series. Zbl 0281.42009
Lippman, Gary E.; Shapiro, Victor L.
4
1974
Positive Newtonian capacity and stationary viscous incompressible flow. Zbl 0342.35048
Shapiro, Victor L.
2
1974
Algebraic integers and distributions on the N-torus. Zbl 0259.46039
Shapiro, Victor L.
1
1973
Sets of uniqueness on the 2-torus. Zbl 0266.42021
Shapiro, Victor L.
4
1972
Singular integrals and spherical convergence. Zbl 0242.42022
Shapiro, Victor L.
1
1972
Removable sets for pointwise C\(^a\) solutions of elliptic partial differential equations. Zbl 0249.35020
Diederich, James R.; Shapiro, Victor L.
1
1972
The Abel summability of conjugate multiple Fourier-Stieltjes integrals. Zbl 0211.41802
Philipp, S. P.; Shapiro, V. L.; Sills, W. H.
3
1971
Removable sets for pointwise subharmonic functions. Zbl 0238.31005
Shapiro, Victor L.
2
1971
Spherical convergence, bounded variation, and singular integrals on the N-torus. Zbl 0221.42017
Shapiro, Victor L.
2
1971
Removable sets for pointwise solutions of the generalized Cauchy-Riemann equations. Zbl 0209.41402
Shapiro, V. L.
6
1970
Characteristic planes and pointwise solutions of the heat equation. Zbl 0202.10801
Shapiro, V. L.
3
1970
The approximate divergence operator. Zbl 0179.09604
Shapiro, V. L.
5
1969
Sets of uniqueness for the vibrating string problem. Zbl 0216.12804
Shapiro, V. L.
3
1969
The uniqueness of solutions of the heat equation in an infinite strip. Zbl 0152.30603
Shapiro, V. L.
5
1966
Sets of uniqueness on the group \(2^ \omega\). Zbl 0128.29401
Crittenden, R. B.; Shapiro, V. L.
9
1965
\(U(\epsilon)\)-sets for Walsh series. Zbl 0154.06302
Shapiro, V. L.
6
1965
Fourier series in several variables. Zbl 0267.42011
Shapiro, Victor L.
27
1964
Harmonic analysis and the theory of cochains. Zbl 0133.00301
Shapiro, Victor L.
1
1964
Bounded generalized analytic functions on the torus. Zbl 0178.40403
Shapiro, V. L.
1
1964
The uniqueness of functions harmonic in the interior of the unit disk. Zbl 0134.09402
Shapiro, V. L.
5
1963
The circulation of vector fields. Zbl 0123.14501
Shapiro, Victor L.
1
1963
Symmetric exterior differentiation and flat forms. Zbl 0107.27305
Shapiro, V. L.
3
1962
Topics in Fourier and geometric analysis. Zbl 0118.06302
Shapiro, V. L.
8
1961
The conjugate Fourier-Stieltjes integral in the plane. Zbl 0188.18303
Shapiro, V. L.
2
1959
The divergence theorem for discontinuous vector fields. Zbl 0083.28401
Shapiro, Victor L.
12
1958
Uniqueness of multiple trigonometric series. Zbl 0089.27806
Shapiro, Victor L.
11
1957
On Green’s theorem. Zbl 0079.27902
Shapiro, Victor L.
6
1957
Localization on spheres. Zbl 0079.09203
Shapiro, Victor L.
2
1957
The divergence theorem without differentiability conditions. Zbl 0079.27903
Shapiro, Victor L.
1
1957
Generalized Laplacians. Zbl 0073.05702
Shapiro, Victor L.
6
1956
The uniqueness of double trigonometric series under circular convergence. Zbl 0073.28601
Shapiro, Victor L.
2
1956
Generalized \(L_2\)-laplacians. Zbl 0070.32704
Shapiro, Victor L.
1
1956
The symmetric derivatives on the \((k-1)\)-dimensional hypersphere. Zbl 0070.32801
Shapiro, Victor L.
1
1956
Cantor-type uniqueness of multiple trigonometric integrals. Zbl 0066.05002
Shapiro, Victor L.
4
1955
The Laplacian of Fourier transforms. Zbl 0065.09404
Shapiro, Victor L.
3
1955
Localization of conjugate multiple trigonometric series. Zbl 0064.30603
Shapiro, Victor L.
3
1955
Circular summability \(C\) of double trigonometric series. Zbl 0055.29801
Shapiro, Victor L.
12
1954
Logarithmic capacity of sets and double trigonometric series. Zbl 0057.30502
Shapiro, V. L.
4
1954
Summability and uniqueness of double trigonometric integrals. Zbl 0058.05701
Shapiro, Victor L.
3
1954
Generalized Laplacians of the second kind and double trigonometric series. Zbl 0059.05403
Shapiro, Victor L.
3
1954
A theorem on a special class of near-Vandermonde determinants. Zbl 0053.00803
Shapiro, V. L.
8
1953
A note on the uniqueness of double trigonometric series. Zbl 0052.06304
Shapiro, Victor L.
3
1953
Square summation and localization of double trigonometric series. Zbl 0053.04202
Shapiro, Victor L.
3
1953
An extension of results in the uniqueness theory of double trigonometric series. Zbl 0053.04203
Shapiro, Victor L.
3
1953
all top 5

Cited by 163 Authors

31 Shapiro, Victor L.
9 Jia, Gao
6 Ash, J. Marshall
6 Menegatto, Valdir Antonio
4 Guella, Jean Carlo
4 Wade, William R.
3 Golubov, Boris Ivanovich
3 Kohn, Marvin J.
3 Kuo, Chungcheng
3 Plotnikov, Mikhail G.
3 Welland, Grant V.
3 Zhao, Qing
2 Abdullaev, Bakhrom Ismoilovich
2 Arcoya, David
2 Beirão da Veiga, Hugo
2 Carmona Tapia, Jose
2 Dai, Chun-Yan
2 Fu, Yongqiang
2 Imomkulov, Sevdiër Akramovich
2 Meaney, Christopher
2 Nessel, Rolf Joachim
2 Pfeffer, Washek Frank
2 Riihentaus, Juhani
2 Rumbos, Adolfo J.
2 Sharipov, Rasulbek Akhmedovich
2 Topuria, Sergo
2 Wang, Gang
2 Yu, Mei
2 Zhang, Xiaojuan
1 Abe, Ken
1 Almgren, Frederick Justin jun.
1 Alonso-Orán, Diego
1 Arazm, Mahammad-Rza I.
1 Astashonok, V. S.
1 Bagby, Thomas
1 Balachandar, S. Raja
1 Balashov, Leonid Alekseevich
1 Barbosa, Victor S.
1 Berg, Christian
1 Berselli, Luigi Carlo
1 Bethencourt de León, Aythami
1 Boonpogkrong, Varayu
1 Burch, Charles C.
1 Butz, Arthur R.
1 Butzer, Paul Leo
1 Caporale, Andrea
1 Chabrowski, Jan H.
1 Chae, Dongho
1 Chen, Gui-Qiang G.
1 Chen, Jie
1 Chew, Tuan Seng
1 Choe, Hi Jun
1 Chung, Soon-Yeong
1 Cinti, Chiara
1 Constantin, Peter
1 Contreras, Martha
1 Cooke, Roger L.
1 De Pauw, Thierry
1 Delale, Can F.
1 Deng, Shao-Gao
1 Diederich, James R.
1 Diederich, Jim
1 Difiore, Lawrence B.
1 Ding, Zhonghai
1 Donaldson, Thomas K.
1 Drapatz, Martin
1 D’yachkov, A. M.
1 Efromovich, Sam
1 Fageot, Julien
1 Fan, Xianling
1 Fay, John C.
1 Franca, Willian
1 Freiling, Christopher Francis
1 Frid, Hermano
1 Gadjiev, Tahir S.
1 Gao, Jia
1 García-Bayona, Ismael
1 Gevorkyan, Gegham G.
1 González Vieli, Francisco Javier
1 Guseynov, Yevgeniy
1 Haselbacher, Andreas
1 Hedberg, Torbjörn
1 Hirano, Norimichi
1 Hirata, Kentaro
1 Huang, Lina
1 Inan, Bilge
1 Jurkat, Wolfgang B.
1 Kandula, Max
1 Kaufman, Robert P.
1 Kim, Hyunseok
1 Kozono, Hideo
1 Kroll, L. S.
1 Laufer, John
1 Lee, Peng Yee
1 Li, Fanglan
1 Lina, Huang
1 Lindahl, Robert J.
1 Lippman, Gary E.
1 Lisei, Hannelore
1 Longo, Placido
...and 63 more Authors
all top 5

Cited in 71 Serials

18 Transactions of the American Mathematical Society
15 Proceedings of the American Mathematical Society
14 Journal of Mathematical Analysis and Applications
11 Journal of Differential Equations
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 Bulletin of the American Mathematical Society
4 Mathematical Notes
4 Rocky Mountain Journal of Mathematics
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Arkiv för Matematik
4 Journal of Soviet Mathematics
3 Journal of Approximation Theory
3 Boundary Value Problems
2 Acta Mathematica Academiae Scientiarum Hungaricae
2 Analysis Mathematica
2 Applicable Analysis
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Shock Waves
2 Advances in Mathematics
2 Czechoslovak Mathematical Journal
2 Constructive Approximation
2 Potential Analysis
2 Journal of Mathematical Fluid Mechanics
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 ISRN Mathematical Analysis
2 Nonlinear Analysis. Theory, Methods & Applications
1 Acta Mechanica
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Inverse Problems
1 Journal of Engineering Mathematics
1 Lithuanian Mathematical Journal
1 Annales de l’Institut Fourier
1 Annals of the Institute of Statistical Mathematics
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 The Annals of Statistics
1 Applied Mathematics and Computation
1 Compositio Mathematica
1 Glasgow Mathematical Journal
1 Journal of Functional Analysis
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Mathematische Zeitschrift
1 Monatshefte für Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 Results in Mathematics
1 Siberian Mathematical Journal
1 Chinese Annals of Mathematics. Series B
1 Acta Mathematica Hungarica
1 Acta Applicandae Mathematicae
1 Acta Mathematicae Applicatae Sinica. English Series
1 International Journal of Computer Mathematics
1 Stochastic Processes and their Applications
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Calculus of Variations and Partial Differential Equations
1 Journal of Mathematical Sciences (New York)
1 NoDEA. Nonlinear Differential Equations and Applications
1 Bulletin des Sciences Mathématiques
1 Sbornik: Mathematics
1 The Journal of Fourier Analysis and Applications
1 Mathematical Problems in Engineering
1 Mathematical Inequalities & Applications
1 Journal of the European Mathematical Society (JEMS)
1 Computational Methods and Function Theory
1 Complex Variables and Elliptic Equations
1 Discrete and Continuous Dynamical Systems. Series S
1 Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp’yuternye Nauki
1 Advances in Nonlinear Analysis
1 Complex Analysis and its Synergies
1 International Journal of Partial Differential Equations

Citations by Year

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