Joel Shapiro | Academic Influence

Joel Shapiro 's AcademicInfluence.com Rankings

Joel Shapiro

Mathematics

#5784

World Rank

#8111

Historical Rank

#1841

USA Rank

Measure Theory

#2763

World Rank

#3300

Historical Rank

#797

USA Rank

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Mathematics

Joel Shapiro 's Degrees

Bachelors Mathematics Columbia University

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Why Is Joel Shapiro Influential?

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According to Wikipedia, Joel H. Shapiro is an American mathematician, active in the field of composition operators. He is the author of the book Composition Operators and Classical Function Theory , and the American Mathematical Society memoir "Cyclic Phenomena for Composition Operators" , with Paul Bourdon.

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Joel Shapiro 's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Operators with dense, invariant, cyclic vector manifolds (1991) (604)
The essential norm of a composition operator (1987) (429)
Universal vectors for operators on spaces of holomorphic functions (1987) (284)
Angular Derivatives and Compact Composition Operators on the Hardy and Bergman Spaces (1986) (264)
Cyclic Phenomena for Composition Operators (1997) (249)
ON THE NUMERICAL RANGE (2017) (206)
Compact composition operators on (1990) (163)
ISOLATION AMONGST THE COMPOSITION OPERATORS (1990) (158)
Compact, Nuclear, and Hilbert-Schmidt Composition Operators on H^2 (1973) (149)
Tangential boundary behavior of function in Dirichlet-type spaces (1982) (122)
Mackey topologies, reproducing kernels, and diagonal maps on the Hardy and Bergman spaces (1976) (88)
Hardy spaces that support no compact composition operators (2003) (74)
Compact composition operators on spaces of boundary-regular holomorphic functions (1987) (73)
Imaging and optical communication through atmospheric turbulence (1978) (71)
The Cyclic Behavior of Translation Operators on Hilbert Spaces of Entire Functions (1999) (69)
Unusual Topological Properties of the Nevanlinna Class (1975) (67)
Which linear-fractional composition operators are essentially normal?☆ (2003) (58)
What Do Composition Operators Know About Inner Functions? (2000) (57)
Reciprocity-enhanced optical communication through atmospheric turbulence — Part I: Reciprocity proofs and far-field power transfer optimization (2012) (47)
Some properties of N-supercyclic operators (2004) (46)
Hypercyclic operators that commute with the Bergman backward shift (2000) (45)
Putnam's theorem, Alexander's spectral area estimate, and VMO (1985) (38)
Spectral synthesis and common cyclic vectors. (1990) (36)
NEW CONSTRUCTIONS OF FUNCTIONS HOLOMORPHIC IN THE UNIT BALL OF Cn (CBMS Regional Conference Series in Mathematics 63) (1987) (35)
Burst-mode atmospheric optical communication (1980) (30)
NOTES ON THE DYNAMICS OF LINEAR OPERATORS (2001) (30)
The Numerical Ranges of Automorphic Composition Operators (2000) (29)
On convergence to the Denjoy-Wolff point (2005) (28)
Analysis at Urbana: Fourier series, mean Lipschitz spaces and bounded mean oscillation (1989) (28)
Mean growth of Koenigs eigenfunctions (1997) (28)
On the toeplitzness of composition operators (2007) (28)
When is zero in the numerical range of a composition operator? (2002) (28)
Remarks on F-spaces of analytic functions (1977) (27)
A class of fast algorithms for the Peano-Hilbert space-filling curve (1994) (25)
Reciprocity-enhanced optical communication through atmospheric turbulence — Part II: Communication architectures and performance (2013) (25)
Composition Operators and Schroder's Functional Equation (1998) (25)
Riesz composition operators (1997) (24)
Cluster set, essential range, and distance estimates in BMO. (1987) (23)
Adjoints of rationally induced composition operators (2008) (22)
Geometric Models and Compactness of Composition Operators (1995) (22)
Bases and basic sequences in F-spaces (1976) (19)
A Fixed-Point Farrago (2016) (18)
COMPACT COMPOSITION OPERATORS ON L 1 (2010) (16)
Extension of linear functionals on $F$-spaces with bases (1970) (16)
Intertwining relations and extended eigenvalues for analytic Toeplitz operators (2008) (15)
Simple Connectivity and Linear Chaos (1999) (15)
Random Dirichlet Functions: Multipliers and Smoothness (1993) (15)
Compact composition operators on the Smirnov class (1999) (14)
AnF-space with trivial dual and non-trivial compact endomorphisms (1975) (13)
Subspaces ofLp (G) spanned by characters: 0 (1978) (12)
Every composition operator is (mean) asymptotically Toeplitz (2007) (12)
NONCONVEX LINEAR TOPOLOGIES WITH THE HAHN BANACH EXTENSION PROPERTY (1970) (11)
Weak topologies on subspaces of $C(S)$ (1971) (11)
Zeros of functions in weighted Bergman spaces. (1977) (10)
The bounded weak star topology and the general strict topology (1971) (10)
The Invariant Subspace Problem (2016) (9)
Notes on the Numerical Range (2003) (9)
Decomposability and the cyclic behavior of parabolic composition operators (2001) (8)
On the Weak Basis Theorem in F-spaces (1974) (8)
Hausdorff measure and Carleson thin sets (1980) (6)
Linear topological properties of the harmonic Hardy spaces $h^{p}$ for $0 < p < 1$ (1985) (6)
Examples of proper, closed, weakly dense subspaces in non locally convexF-spaces (1969) (6)
The Invariant Subspace Problem via Composition Operators-redux (2010) (5)
Some F‐Spaces of Harmonic Functions for Which the Orlicz‐Pettis Theorem Fails (1985) (5)
Burnside’s Theorem on Matrix Algebras (2014) (5)
RECOGNIZING AN INNER FUNCTION BY ITS DISTRIBUTION OF VALUES (1999) (5)
ON COMPOSITION OPERATORS AND ANALYTIC FUNCTION THEORY (1999) (4)
STRONGLY COMPACT ALGEBRAS ASSOCIATED WITH COMPOSITION OPERATORS (2012) (4)
Multipath Dispersion in Low Visibility Optical Communication Channels (1977) (4)
Essential normality for certain weighted composition operators on the Hardy space H 2 (2012) (4)
The Angular Derivative (1993) (3)
Zeros of random functions in Bergman spaces (1979) (3)
WHAT IS THE NUMERICAL RANGE OF A COMPOSITION OPERATOR ? (2000) (3)
Approximation by Polynomials in a Weighted Space of Infinitely Differentiable Functions with an Application to Hypercyclicity (2012) (2)
WEIGHTED TANGENTIAL BOUNDARY LIMITS OF SUBHARMONIC FUNCTIONS ON DOMAINS IN R n ( n 2 ) (2013) (2)
Composition operators ♥ Toeplitz operators (2010) (2)
Noncoincidence of the strict and strong operator topologies (1972) (2)
Cauchy transforms and Beurling-Carleson-Hayman thin sets. (1980) (2)
On being allen’s student (1990) (1)
On the outputs of linear control systems (2008) (1)
Sperner’s Lemma and Brouwer’s Fixed-Point Theorem (2015) (1)
The Schauder Fixed-Point Theorem (2016) (1)
Eigenfunctions for Hyperbolic Composition Operators--Redux (2009) (1)
WHICH LINEAR-FRACTIONAL TRANSFORMATIONS INDUCE ROTATIONS OF THE SPHERE? (2004) (0)
Brouwer in Higher Dimensions (2016) (0)
Angular Derivatives and Iteration (1993) (0)
Cyclicity and Models (1993) (0)
Nash’s “One-Page Proof” (2016) (0)
Brouwer in Dimension Two (2016) (0)
Compactness from Models (1993) (0)
The Markov–Kakutani Theorem (2016) (0)
DIRICHLET FUNCTIONS : MULTIPLIERS AND SMOOTHNESS 1 (1999) (0)
EVERY LOCALLY BOUNDED SPACE WITH TRIVIAL DUAL IS THE QUOTIENT OF A RIGID SPACE (2002) (0)
Fixed Points for Non-commuting Map Families (2016) (0)
The Meaning of Means (2016) (0)
Compactness and Univalence (1993) (0)
Littlewood’s Theorem (1993) (0)
Strongly compact algebras and composition operators (2012) (0)
Linear Fractional Prologue (1993) (0)
Compactness: General Case (1993) (0)
PSEUDO SHIFT OPERATORS WITH LARGE IMAGES (2006) (0)
Compactness and Eigenfunctions (1993) (0)
Beyond Markov–Kakutani (2016) (0)
Optical communications through low-visibility weather conditions (1980) (0)
Point-ahead limitation on reciprocity tracking. [in earth-space optical link (1975) (0)
Linear Fractional Cyclicity (1993) (0)
THE SCHROEDER-BERNSTEIN THEOREM VIA FIXED POINTS (2012) (0)
From Newton to Google (2016) (0)

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