Thomas Ransford
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Canadian mathematician
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Mathematics
Why Is Thomas Ransford Influential?
(Suggest an Edit or Addition)According to Wikipedia, Thomas Ransford is a British-born Canadian mathematician, known for his research in spectral theory and complex analysis. He holds a Canada Research Chair in mathematics at Université Laval. Ransford earned his Ph.D. from the University of Cambridge in 1984.
Thomas Ransford'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
- Potential theory in the complex plane (1995) (1420)
- A Primer on the Dirichlet Space: Cyclicity (2014) (128)
- A Sharp Form of the Cramér–Wold Theorem (2007) (78)
- Random projections and goodness-of-fit tests in infinite-dimensional spaces (2006) (71)
- Additive Maps Preserving Local Spectrum (2006) (51)
- Power-dominated elements in a Banach algebra (1989) (49)
- Non‐Linear Spectrum‐Preserving Maps (2000) (48)
- Area, capacity and diameter versions of Schwarz’s Lemma (2008) (47)
- Weakly compact homomorphisms (1992) (46)
- A primer on the Dirichlet Spaces (2014) (44)
- A Short Proof of Johnson's Uniqueness‐of‐Norm Theorem (1989) (42)
- Subharmonicity without Upper Semicontinuity (1997) (41)
- Which de Branges–Rovnyak spaces are Dirichlet spaces (and vice versa)? (2013) (37)
- Jensen measures and harmonic measures (2001) (36)
- Cyclicity in the Dirichlet space (2006) (35)
- On the Brown–Shields conjecture for cyclicity in the Dirichlet space (2008) (35)
- Computation of Logarithmic Capacity (2011) (34)
- Analytic multifunctions, the ∂-equation, and a proof of the Corona theorem (1986) (32)
- De Branges–Rovnyak spaces and Dirichlet spaces (2010) (32)
- Generalised Spectra and Analytic Multivalued Functions (1984) (29)
- A short elementary proof of the Bishop–Stone–Weierstrass theorem (1984) (29)
- Holomorphic Self‐Maps of the Spectral unit Ball (1991) (27)
- When is a probability measure determined by infinitely many projections (1997) (27)
- Computation of capacity (2007) (25)
- A Tauberian Theorem arising in Operator Theory (1987) (25)
- On the Norm of Elementary Operators (2004) (24)
- Extremal Growth of Powers of Operators Satisfying Resolvent Conditions of Kreiss-Ritt Type (2002) (23)
- The spectrum of an interpolated operator and analytic multivalued functions. (1986) (22)
- Open Mapping, Inversion and Implicit Function Theorems for Analytic Multivalued Functions (1984) (21)
- Eigenvalues and power growth (2005) (20)
- A Gleason–Kahane–Żelazko theorem for modules and applications to holomorphic function spaces (2015) (19)
- Meromorphic multifunctions in complex dynamics (1992) (18)
- On mapping theorems for numerical range (2015) (17)
- A Cartan theorem for Banach algebras (1996) (17)
- Dirichlet Spaces with Superharmonic Weights and de Branges–Rovnyak Spaces (2015) (16)
- Real interpolation of Banach algebras and factorization of weakly compact homomorphisms (2004) (16)
- Hölder Exponents of Green’s Functions of Cantor Sets (2008) (16)
- Variation of Hausdorff dimension of Julia sets (1993) (15)
- Schwarz's lemma for algebroid multifunction (2001) (15)
- Constructive Approximation in de Branges–Rovnyak Spaces (2015) (15)
- Point spectra of partially power-bounded operators (2006) (14)
- Cantor sets and cyclicity in weighted Dirichlet spaces (2010) (13)
- PERIPHERAL POINT SPECTRUM AND GROWTH OF POWERS OF OPERATORS (2004) (12)
- Tricomplex dynamical systems generated by polynomials of odd degree (2015) (12)
- Hadamard Multipliers on Weighted Dirichlet Spaces (2019) (11)
- Iterated Function Systems, Capacity and Green’s Functions (2004) (11)
- On Pseudospectra and Power Growth (2007) (11)
- A Primer on the Dirichlet Space: Hardy spaces (2014) (10)
- Computation of Analytic Capacity and Applications to the Subadditivity Problem (2012) (10)
- Remarks on the Crouzeix-Palencia Proof that the Numerical Range is a (1+\sqrt2)-Spectral Set (2017) (10)
- Linear polynomial approximation schemes in Banach holomorphic function spaces (2019) (10)
- Hilbert Spaces of Analytic Functions (2010) (10)
- Super‐identical pseudospectra (2009) (9)
- A Gleason–Kahane–Żelazko theorem for the Dirichlet space (2017) (9)
- Cyclic polynomials in anisotropic Dirichlet spaces (2015) (8)
- Invariant Subspaces of the Dirichlet Space (2010) (8)
- Interpolation and extrapolation of analytic multivalued functions (1985) (8)
- Predictable sets and set-valued processes (1990) (8)
- Computation of capacity via quadratic programming (2010) (8)
- Complex Uniform Convexity and Riesz Measures (2004) (8)
- On the range of an analytic multivalued function. (1986) (7)
- Holomorphic, Subharmonic and Subholomorphic Processes (1990) (7)
- Computation of weighted capacity (2010) (7)
- A New Approach to Analytic Multifunctions (1999) (7)
- On local irreducibility of the spectrum (2007) (7)
- Pseudospectra do not determine norm behavior, even for matrices with only simple eigenvalues (2011) (7)
- Estimates for the spectrum near algebraic elements (2000) (7)
- Cyclicity in the harmonic Dirichlet space (2015) (7)
- Crouzeix’s Conjecture and Related Problems (2020) (7)
- Pseudospectra and matrix behaviour (2010) (7)
- Smooth Surjections Without Surjective Restrictions (2013) (7)
- Pseudospectra and holomorphic functions of matrices (2013) (6)
- Some Quantitiative Tauberian Theorems For Power Series (1988) (6)
- On the set of discrete two-generator groups (2000) (6)
- One-box conditions for Carleson measures for the Dirichlet space (2014) (6)
- Cross-sections of multibrot sets (2016) (6)
- Binomial sums, moments and invariant subspaces (2000) (5)
- Spectral Characterization of Algebraic Elements (2001) (5)
- Continuity of capacity of a holomorphic motion (2020) (4)
- Failure of Approximation of Odd Functions by Odd Polynomials (2020) (4)
- Outer Functions and Divergence in de Branges–Rovnyak Spaces (2018) (4)
- Approximate Carleman theorems and a Denjoy-Carleman maximum principle (2004) (3)
- A simple method for solving the Bussian equation for electrical conduction in rocks (2010) (3)
- Analytic capacity and holomorphic motions (2019) (3)
- Arguments of zero sets in the Dirichlet space (2010) (3)
- On the Harmonic Measure and Capacity of Rational Lemniscates (2015) (3)
- Countability via capacity (2002) (3)
- Gleason-Kahane-\.Zelazko theorems in function spaces (2020) (3)
- Norm inequalities for holomorphic semigroups (1997) (3)
- Binomial Sums and Functions of Exponential Type (2005) (3)
- Cesàro Summability of Taylor Series in Weighted Dirichlet Spaces (2020) (3)
- Hermitian powers:A Müntz theorem and extremal algebras (2001) (3)
- Power-Series Summability Methods in de Branges–Rovnyak Spaces (2021) (3)
- Non-commutativity of exponential spectrum (2015) (3)
- Counterexample to a conjecture of Elsner on the spectral variation of matrices (2002) (2)
- A Self-contained proof of the strong-type capacitary inequality for the Dirichlet space (2011) (2)
- A quantitative Heppes theorem and multivariate Bernoulli distributions (2022) (2)
- COMPLEX ANALYSIS AND SPECIAL TOPICS IN HARMONIC ANALYSIS (1997) (2)
- Approximation in the Closed Unit Ball (2017) (2)
- Holomorphic processes in Banach spaces and Banach algebras (1994) (2)
- A counterexample to a conjecture of Hutchinson and Lai (2010) (2)
- Spectra in quasi-Banach algebras (1988) (2)
- Projective Hulls and Characterizations of Meromorphic Functions (2011) (2)
- Examples of quantitative universal approximation (2012) (2)
- On the decay of singular inner functions (2020) (1)
- An abstract approach to the Crouzeix conjecture (2020) (1)
- Norms of polynomials of the Volterra operator (2022) (1)
- A Cramér–Wold theorem for elliptical distributions (2022) (1)
- BLOCH'S THEOREM FOR ALGEBROID MULTIFUNCTIONS II (2005) (1)
- A Gleason–Kahane–Żelazko theorem for reproducing kernel Hilbert spaces (2020) (1)
- On the growth of analytic semigroups along vertical lines (2000) (1)
- Almost-everywhere discontinuity of the spectral radius (2000) (1)
- Summability and duality (2023) (1)
- Spectral sets, extremal functions and exceptional matrices (2020) (1)
- Linear maps preserving inner functions (2019) (1)
- A uniform boundedness principle in pluripotential theory (2017) (1)
- FA ] 2 4 N ov 2 01 5 Non-commutativity of the exponential spectrum (2018) (0)
- Positive definite matrices (2013) (0)
- Harmonically weighted Dirichlet spaces (2013) (0)
- Convolution weights on ℓ2-spaces (2020) (0)
- A four-mean theorem and its application to pseudospectra (2021) (0)
- A Primer on the Dirichlet Space: Multipliers (2014) (0)
- Potential Theory in the Complex Plane: Subharmonic Functions (1995) (0)
- Linear polynomial approximation schemes in Banach holomorphic function spaces (2019) (0)
- Constructive Approximation in de Branges–Rovnyak Spaces (2015) (0)
- On the Harmonic Measure and Capacity of Rational Lemniscates (2015) (0)
- Application of the Cram\'er-Wold theorem to testing for invariance under group actions (2021) (0)
- A Primer on the Dirichlet Space: Zero sets (2014) (0)
- HOLOMORPHIC MOTIONS, DIMENSION AND QUASICONFORMAL MAPPINGS (2023) (0)
- Complex uniformly convex Banach spaces and Riesz measures. (2004) (0)
- A Positivity Conjecture Related to the Riemann Zeta Function (2019) (0)
- Capacity and Covering Numbers (2011) (0)
- A Primer on the Dirichlet Space: References (2014) (0)
- Index to Volume 56 (2004) (0)
- Cyclic polynomials in anisotropic Dirichlet spaces (2019) (0)
- Potential Theory in the Complex Plane: Bibliography (1995) (0)
- Potential Theory in the Complex Plane: Potential Theory (1995) (0)
- A symmetrization inequality for plurisubharmonic functions (1993) (0)
- Fundamentals of spectral theory (2018) (0)
- Weakly Multiplicative Distributions and Weighted Dirichlet Spaces (2021) (0)
- CANTOR SETS AND CYCLICITY IN WEIGHTED (2010) (0)
- A Primer on the Dirichlet Space: Basic notions (2014) (0)
- Subharmonicity in von Neumann algebras (2005) (0)
- Constructive polynomial approximation in Banach spaces of holomorphic functions (2019) (0)
- A Word about Notation (1995) (0)
- The Dirichlet Problem (1995) (0)
- Asymptotically equicontinuous sequences of operators and a Banach-Steinhaus type theorem (2023) (0)
- A Primer on the Dirichlet Space: Invariant subspaces (2014) (0)
- Outer Functions and Divergence in de Branges–Rovnyak Spaces (2018) (0)
- Smooth Surjections Without Surjective Restrictions (2012) (0)
- Covering numbers and schlicht functions (2020) (0)
- Some open problems in the theory of analytic multifunctions (2018) (0)
- The Hardy–Littlewood maximal function (2013) (0)
- Cross-sections of multibrot sets (2016) (0)
- Holomorphic motions, dimension, area and quasiconformal mappings (2023) (0)
- Power-Series Summability Methods in de Branges–Rovnyak Spaces (2022) (0)
- Polynomial approximation in weighted Dirichlet spaces (2020) (0)
- COMPLEX ANALYSIS AND SPECIAL TOPICS IN HARMONIC ANALYSIS By Carlos A. Berenstein and Roger Gay: 482 pp., DM.139.–, ISBN 0 387 94411 7 (Springer, 1995). (1997) (0)
- Glossary of Notation (1995) (0)
- Letter to the Editor: A Short Complex-Variable Proof of the Titchmarsh Convolution Theorem (2019) (0)
- Dirichlet Spaces with Superharmonic Weights and de Branges–Rovnyak Spaces (2015) (0)
- A Primer on the Dirichlet Space: Conformal invariance (2014) (0)
- A Primer on the Dirichlet Space: Regularization and the rising-sun lemma (2014) (0)
- Potential Theory in the Complex Plane: Preface (1995) (0)
- Spectral sets for numerical range (2017) (0)
- Computation of Analytic Capacity and Applications to the Subadditivity Problem (2013) (0)
- Capacity and Covering Numbers (2012) (0)
- Outer functions and uniform integrability (2018) (0)
- Letter to the Editor: A Short Complex-Variable Proof of the Titchmarsh Convolution Theorem (2019) (0)
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