Victor L. Shapiro
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Victor L. Shapiromathematics Degrees
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Mathematics
Victor L. Shapiro's Degrees
- PhD Mathematics University of California, Berkeley
- Masters Mathematics University of California, Berkeley
- Bachelors Mathematics University of California, Berkeley
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Why Is Victor L. Shapiro Influential?
(Suggest an Edit or Addition)According to Wikipedia, Victor Lenard Shapiro was an American mathematician, specializing in trigonometric series and differential equations. He is known for his two theorems on the uniqueness of multiple Fourier series. Biography
Victor L. Shapiro's Published Works
Published Works
- Fourier series in several variables (1964) (64)
- The Divergence Theorem for Discontinuous Vector Fields (1958) (27)
- Uniqueness of Multiple Trigonometric Series (1957) (24)
- Quasilinear ellipticity and the ist eigenvalue (1991) (23)
- Fourier Series in Several Variables with Applications to Partial Differential Equations (2011) (21)
- Circular summability $C$ of double trigonometric series (1954) (20)
- Sets of uniqueness on the group 2 (1965) (18)
- Singular quasilinearity and higher eigenvalues (2001) (14)
- Removable Sets for Pointwise Solutions of the Generalized Cauchy-Riemann Equations (1970) (14)
- The Uniqueness of Functions Harmonic in the Interior of the Unit Disk (1963) (13)
- Isolated singularities for solutions of the nonlinear stationary Navier-Stokes equations (1974) (13)
- U(e)-SETS FOR WALSH SERIES (1965) (12)
- Jumping nonlinearities and weighted Sobolev spaces (2005) (12)
- Topics in Fourier and Geometric Analysis (1968) (11)
- The uniqueness of solutions of the heat equation in an infinite strip (1966) (10)
- Logarithmic Capacity of Sets and Double Trigonometric Series (1954) (9)
- Subharmonic functions and Hausdorff measure (1978) (9)
- Generalized and classical solutions of the nonlinear stationary Navier-Stokes equations (1976) (9)
- Isolated singularities in steady state fluid flow (1976) (9)
- Resonance, distributions and semilinear elliptic partial differential equations (1984) (8)
- THE APPROXIMATE DIVERGENCE OPERATOR (1969) (8)
- Singular integrals and cardinal series (1972) (7)
- Harmonic Functions in the Unit Disk (2002) (7)
- Removable sets for pointwise subharmonic functions (1971) (7)
- Localization of Conjugate Multiple Trigonometric Series (1955) (7)
- On Green's Theorem (1957) (7)
- One-Sided Resonance Problems for Quasilinear Elliptic Operators (2001) (7)
- Special functions and singular Quasilinear partial differential equations (1991) (7)
- Sets of uniqueness on the 2-torus (1972) (7)
- An extension of results in the uniqueness theory of double trigonometric series (1953) (6)
- Resonance and Quasilinear Parabolic Partial Differential Equations (1993) (6)
- Localization on spheres (1957) (6)
- A NOTE ON THE UNIQUENESS OF DOUBLE TRIGONOMETRIC SERIES (1953) (6)
- Superlinear quasilinearity and the second eigenvalue (2001) (6)
- Book Review: Walter Rudin, Real and complex analysis (1968) (5)
- Errata: Square Summation and Localization of Double Trigonometric Series (1953) (5)
- The symmetric derivative on the $(k-1)$-dimensional hypersphere (1956) (5)
- A counterexample in the theory of planar viscous incompressible flow (1976) (5)
- Generalized Laplacians of the second kind and double trigonometric series (1954) (5)
- Resonance and quasilinear ellipticity (1986) (5)
- sets for Walsh series (1965) (5)
- Sets of uniqueness for the vibrating string problem (1969) (4)
- Cantor-type uniqueness of multiple trigonometric integrals. (1955) (4)
- Summability and uniqueness of double trigonometric integrals (1954) (4)
- Capacity and absolute abel summability of multiple Fourier series (1974) (4)
- The conjugate Fourier-Stieltjes integral in the plane (1959) (4)
- Resonance and the second BVP (1991) (4)
- Spherical convergence, bounded variation, and singular integrals on the N-torus (1971) (4)
- Quasilinear Ellipticity and Jumping Nonlinearities (1992) (3)
- The Laplacian of Fourier transforms (1955) (3)
- The Abel summability of conjugate multiple Fourier-Stieltjes integrals (1971) (3)
- GENERALIZED L2-LAPLACIANS (1955) (3)
- Symmetric Exterior Differentiation and Flat Forms (1962) (3)
- A SURVEY OF UNIQUENESS QUESTIONS IN MULTIPLE TRIGONOMETRIC SERIES (2011) (3)
- Saddle Points and Ritz–Galerkin Approximations (1980) (3)
- Characteristic Planes and Pointwise Solutions of the Heat Equation (1970) (3)
- THE DIVERGENCE THEOREM WITHOUT DIFFERENTIABILITY CONDITIONS. (1957) (3)
- Positive Newtonian Capacity and Stationary Viscous Incompressible Flow (1974) (3)
- Time-periodic quasi-linear reaction-diffusion equations (1996) (3)
- Tame and Wild Two by Two Matrix Orders (1994) (3)
- Summability of Multiple Fourier Series (2011) (2)
- Harmonic analysis and the theory of cochains (1964) (2)
- Poisson integrals and nontangential limits (2006) (2)
- THE UNIQUENESS OF DOUBLE TRIGONOMETRIC SERIES UNDER CIRCULAR CONVERGENCE. (1956) (2)
- Nonlinear distributions and quasilinear ellipticity (1987) (2)
- Psuedo-eigenvalues and quasilinear elliptic systems (2001) (2)
- Quasilinearity below the 1st eigenvalue (2001) (2)
- The circulation of vector fields (1963) (2)
- Generalized L 2 -Laplacians (1956) (2)
- Algebraic integers and distributions on the N-torus (1973) (1)
- Resonance and Higher Order Quasilinear Ellipticity (1988) (1)
- Removable sets for pointwise Ca solutions of elliptic partial differential equations (1972) (1)
- Capacity and the Nonlinear Navier–Stokes Equations (1973) (1)
- Intrinsic operators in three-space (1959) (1)
- N-functions and the weak comparison principle (1980) (1)
- Bounded generalized analytic functions on the torus (1964) (1)
- A Theorem on a Special Class of Near-Vandermonde Determinants (1953) (1)
- One-sided conditions for quasilinear Jacobi differential equations (1990) (1)
- Subharmonic functions of order $r$ (1954) (0)
- Holomorphic functions and Hausdorff dimension (1967) (0)
- Capacity and 2nd order semilinear elliptic supersolutions (1985) (0)
- Harmonic analysis and nonlinear differential equations : a volume in honor of Victor L. Shapiro : November 3-5, 1995, University of California, Riverside (1997) (0)
- A counter-example in singular integral theory (2012) (0)
- Nonlinear ellipticity on unbounded domains (2012) (0)
- The Stationary Navier-Stokes Equations (2011) (0)
- Generalized $L\sb 2$-Laplacians (1956) (0)
- Generalized analyticity on the $N$-torus (2012) (0)
- Harmonic and Subharmonic Functions (2011) (0)
- Fractals and distributions on the $N$-torus (2003) (0)
- The discrete equations of fluid flow and elasticity (1978) (0)
- One-sided conditions for the Navier-Stokes equations (1982) (0)
- Superlinearity and Weighted Sobolev Spaces (2004) (0)
- Pressure, capacity, and the Navier-Stokes equations☆ (1978) (0)
- Removable singularities for the Von Karman equations (2015) (0)
- Integrals and Identities (2011) (0)
- Positive Definite Functions (2011) (0)
- A Quasilinear Two Point Boundary Problem (1994) (0)
- SETS OF UNIQUENESS ON THE GROUP 2 (OMEGA) (1964) (0)
- Isolated singularities in fluid flow and elasticity (1975) (0)
- Singular Quasilinear Heat Equations (2009) (0)
- Conjugate Multiple Fourier Series (2011) (0)
- Nonlinear Partial Differential Equations (2011) (0)
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