Kathryn E. Hare

Q: What Schools Are Affiliated With Kathryn E. Hare

Kathryn E. Hare is affiliated with the following schools: University of Waterloo, University of Alberta, University of British Columbia

Kathryn E. Hare's AcademicInfluence.com Rankings

Kathryn E. Hare

Mathematics

#5901

World Rank

#8258

Historical Rank

Measure Theory

#4236

World Rank

#4992

Historical Rank

mathematics Degrees

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Mathematics

Why Is Kathryn E. Hare Influential?

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According to Wikipedia, Kathryn Elizabeth Hare is a Canadian mathematician specializing in harmonic analysis and fractal geometry. She was the Chair of the Pure Mathematics Department at the University of Waterloo from 2014 to 2018. She retired from the University of Waterloo in 2021.

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Kathryn E. Hare'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

Interpolation and Sidon Sets for Compact Groups (2013) (39)
Sums of Cantor sets (1997) (34)
The Assouad spectrum and the quasi-Assouad dimension: a tale of two spectra (2018) (24)
On weak type inequalities for rare maximal functions (2000) (23)
ε-Kronecker and I₀ sets in abelian groups, III: interpolation by measures on small sets (2005) (22)
Sums of Cantor sets yielding an interval (2002) (21)
The size of characters of compact Lie groups (1998) (20)
Local Dimensions of Measures of Finite Type II: Measures Without Full Support and With Non-regular Probabilities (2016) (18)
$I_0$ sets in non-abelian groups (2003) (18)
Arithmetic properties of thin sets. (1988) (18)
Assouad dimensions of complementary sets (2016) (17)
L2-singular dichotomy for orbital measures of classical compact Lie groups (2009) (17)
$\varepsilon$-Kronecker and $I_{0}$ sets in abelian groups, I: arithmetic properties of $\varepsilon$-Kronecker sets (2006) (16)
CLASSIFYING CANTOR SETS BY THEIR FRACTAL DIMENSIONS (2009) (16)
Lower Assouad Dimension of Measures and Regularity (2018) (15)
Maximal Operators and Cantor Sets (2000) (15)
The size of Lp-improving measures (1989) (15)
On permutations of lacunary intervals (1995) (15)
An elementary proof of a result on Λ() sets (1988) (15)
The size of Lp-improving measures (1989) (15)
When is an automatic set an additive basis? (2017) (15)
Local dimensions of measures of finite type III - Measures that are not equicontractive (2017) (14)
L2-singular dichotomy for orbital measures of classical simple Lie algebras (2009) (14)
Local dimensions of measures of finite type (2015) (14)
A Fourier series formula for energy of measures with applications to Riesz products (2002) (14)
Properties of Littlewood-Paley sets (1989) (13)
Properties of quasi-Assouad dimension (2017) (13)
Kronecker Constants for Finite Subsets of Integers (2012) (12)
I0 SETS FOR COMPACT, CONNECTED GROUPS: INTERPOLATION WITH MEASURES THAT ARE NONNEGATIVE OR OF SMALL SUPPORT (2008) (12)
A structural criterion for the existence of infinite central Λ(p) sets (1993) (12)
Existence of large ε-Kronecker and FZI₀(U) sets in discrete abelian groups (2012) (12)
The independence of characters on non-abelian groups (2004) (11)
Analysis at Urbana: Some Banach space properties of translation invariant subspaces of Lp (1989) (10)
A characterization of $L^p$-improving measures (1988) (10)
Singularity of orbits in classical Lie algebras (2003) (10)
CENTRAL INTERPOLATION SETS FOR COMPACT GROUPS AND HYPERGROUPS (2009) (10)
Pointwise estimates of the size of characters of compact Lie groups (2000) (9)
Characterizations of Classes of $I_0$ Sets in Discrete Abelian Groups (2010) (9)
Central sidonicity for compact Lie groups (1995) (9)
Characterizing Sidon sets by interpolation properties of subsets (2008) (9)
e-Kronecker and I0 sets in abelian groups, IV: interpolation by non-negative measures (2006) (9)
Multifractal spectrum of self-similar measures with overlap (2014) (8)
Maximal functions with polynomial densities in Lacunary directions (2002) (8)
Intermediate Assouad-like dimensions (2019) (8)
The Sizes of Rearrangements of Cantor Sets (2013) (8)
Sets of zero discrete harmonic density (2009) (8)
Convolutions of generic orbital measures in compact symmetric spaces (2009) (8)
A new type of Littlewood-Paley partition (1992) (7)
Applications of generalized perron trees to maximal functions and density bases (1998) (7)
Quasi-doubling of self-similar measures with overlaps (2018) (7)
Weighted p-Sidon sets (1996) (7)
The Size of Max(p) Sets and Density Bases (2002) (6)
The size of characters of exceptional lie groups (2004) (6)
THE ${L}^{2} $-SINGULAR DICHOTOMY FOR EXCEPTIONAL LIE GROUPS AND ALGEBRAS (2013) (6)
When the weak separation condition implies the generalized finite type condition (2020) (6)
Lorentz-improving measures (1994) (6)
Quasi Self-Similarity and Multifractal Analysis of Cantor Measures (2001) (6)
$L^{p}$-improving properties of measures of positive energy dimension (2005) (5)
Singularity of orbital measures in SU(n) (2002) (5)
GAPS IN THE RATIOS OF THE SPECTRA OF LAPLACIANS ON FRACTALS (2009) (5)
Almost sure Assouad-like dimensions of complementary sets (2019) (5)
The $L^q$-spectrum for a class of self-similar measures with overlap (2019) (5)
Strict-2-associatedness for thin sets (1988) (5)
Characterizing the Absolute Continuity of the Convolution of Orbital Measures in a Classical Lie Algebra (2014) (4)
Multifractal analysis for convolutions of overlapping Cantor measures (2011) (4)
Local Dimensions of Overlapping Self-Similar Measures (2018) (4)
Multi-Fractal Analysis of Convolution Powers of Measures (2013) (4)
Smoothness of convolution powers of orbital measures on the symmetric space SU(n)/SO(n) (2008) (4)
Classifying Cantor sets by their multifractal spectrum (2010) (4)
The absolute continuity of convolutions of orbital measures in symmetric spaces (2015) (4)
Lp-improving measures on compact non-abelian groups (1989) (4)
N-fold sums of Cantor sets (2000) (4)
The Smoothness of Orbital Measures on Exceptional Lie Groups and Algebras (2011) (4)
Union results for thin sets (1990) (3)
The entropy of Cantor-like measures (2018) (3)
Riesz bases of exponentials and the Bohr topology (2020) (3)
Upper and Lower Bounds for Kronecker Constants of Three-Element Sets of Integers (2011) (3)
INTERMEDIATE ASSOUAD-LIKE DIMENSIONS FOR MEASURES (2020) (3)
Dimensions of fractals in the large (2007) (3)
The Dichotomy Problem for Orbital Measures of SU(n) (2005) (3)
Measures with specified support and arbitrary Assouad dimensions (2019) (3)
The smoothness of convolutions of zonal measures on compact symmetric spaces (2013) (3)
Exact Kronecker constants of Hadamard sets (2013) (3)
On L p -improving measures (2016) (2)
Distinctness of spaces of Lorentz–Zygmund multipliers (2005) (2)
The energy of signed measures (2003) (2)
Sidon Sets are Proportionally Sidon with Small Sidon Constants (2018) (2)
On convolution squares of singular measures (2004) (2)
The size of $(L^2,L^p)$ multipliers (1992) (2)
Kronecker Constants of Arithmetic Progressions (2014) (2)
Completely bounded Λ_{} sets that are not Sidon (2016) (2)
Spaces of Lorentz Multipliers (2001) (2)
Local dimensions of self-similar measures satisfying the finite neighbour condition (2021) (2)
Energy of measures on compact Riemannian manifolds (2003) (2)
A generalization of a theorem of Erdős-Rényi to m-fold sums and differences (2014) (1)
The Singularity of Orbital Measures on Compact Lie Groups (2004) (1)
Hausdorff and Packing Measures of Balanced Cantor Sets (2015) (1)
Multipliers of spherical harmonics and energy of measures on the sphere (2003) (1)
Sidonicity in compact, abelian hypergroups (1998) (1)
The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces (2015) (1)
Exact Kronecker constants of three element sets (2015) (1)
A GENERAL ENERGY FORMULA (2007) (1)
Packing and Hausdorff measures of Cantor sets associated with series (2015) (1)
Self-affine measures that are $L^{p}$-improving (2015) (1)
SMOOTHNESS OF CONVOLUTION PRODUCTS OF ORBITAL MEASURES ON RANK ONE COMPACT SYMMETRIC SPACES (2015) (1)
The Relationship Between ϵ-Kronecker Sets and Sidon Sets (2015) (1)
The support of a function with thin spectrum (1994) (1)
L2 - Singular dichotomy for orbital measures on complex groups (2010) (1)
The smoothness of convolutions of orbital measures on complex Grassmannian symmetric spaces (2019) (0)
A generalization of a theorem of Erd\H{o}s-R\'enyi to $m$-fold sums and differences (2014) (0)
Completely bounded lacunary sets for compact non-abelian groups (2015) (0)
Unions and Decompositions of I 0(U) Sets (2013) (0)
Transferring spherical multipliers on compact symmetric spaces (2017) (0)
Sidon Sets: Introduction and Decomposition Properties (2013) (0)
Energy in terms of spherical harmonics (2001) (0)
The semisimplicity problem for $p$-adic group algebras (1990) (0)
A Message From (2004) (0)
WEIGHTED /?-SIDON SETS (2008) (0)
//-IMPROVING MEASURES ON COMPACT NON-ABELIAN GROUPS (2008) (0)
I 0 Sets and Their Characterizations (2013) (0)
The Ubiquity of Sidon Sets That Are Not $I_0$ (2016) (0)
A NON-ABELIAN, NON-SIDON, COMPLETELY BOUNDED Λ( p ) SET (2020) (0)
Local dimensions of measures of finite type on the torus (2016) (0)
Finite dimensional H-invariant spaces (1997) (0)
THE SMOOTHNESS OF ORBITAL MEASURES ON NONCOMPACT SYMMETRIC SPACES (2020) (0)
A Non-abelian, Non-Sidon, Completely Bounded $\Lambda (p)$ Set (2019) (0)
Fractal dimensions of infinite product spaces (2004) (0)
Tame $L^p$-multipliers (1993) (0)
A General Approach to Littlewood-Paley Theorems for Orthogonal Families (1997) (0)
Kronecker Constants for Finite Subsets of Integers (2011) (0)
Random weighted Sidon sets (2000) (0)
Assouad-like dimensions of random Moran measures (2021) (0)
INVITED SPEAKERS : LIST OF ABSTRACTS (2018) (0)
How Thin Are Sidon Sets in the Bohr Compactification (2013) (0)
M G ] 2 0 D ec 2 01 8 Lower Assouad Dimension of Measures and Regularity (2021) (0)
Assouad-like dimensions of a class of random Moran measures (2021) (0)
Exact Kronecker constants of three element sets (2015) (0)
Local dimensions of random homogeneous self‐similar measures: strong separation and finite type (2017) (0)
Multifractal Analysis of Cantor-Like Measures (2016) (0)
A geometric proof of the $$L^{2}$$L2-singular dichotomy for orbital measures on Lie algebras and groups (2018) (0)
The absolute continuity of convolutions of orbital measures in SO(2n+1)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ (2021) (0)
Thin sets and strict-two-associatedness (1986) (0)
Directional maximal operators with smooth densities (2009) (0)
The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces (2016) (0)
An abstract proof of the L2-singular dichotomy for orbital measures on Lie algebras and groups (2016) (0)
ε-Kronecker Sets (2013) (0)
The Relationship Between Sidon and I0 (2013) (0)
A generalization of Erd\H{o}s-R\'enyi to $m$-fold sums and differences (2014) (0)
Sidon Sets Are Proportional Quasi-independent (2013) (0)
Norm One Multipliers on Subspaces of Lp (1992) (0)
Interpolation and Sidon Sets for Groups That Are Not Compact and Abelian (2013) (0)
Corrigendum to “Local dimensions of measures of finite type III – Measures that are not equicontractive” [J. Math. Anal. Appl. 458 (2) (2018) 1653–1677] (2020) (0)
Transferring spherical multipliers on compact symmetric spaces (2021) (0)
More Restrictive Classes of I 0 Sets (2013) (0)

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What Schools Are Affiliated With Kathryn E. Hare?

Kathryn E. Hare is affiliated with the following schools: