## Hare, Kathryn E.

Compute Distance To:
 Author ID: hare.kathryn-e Published as: Hare, Kathryn E.; Hare, Kathryn; Hare, K. E. more...less
 Documents Indexed: 127 Publications since 1988, including 1 Book Reviewing Activity: 38 Reviews Co-Authors: 52 Co-Authors with 104 Joint Publications 866 Co-Co-Authors
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### Co-Authors

 20 single-authored 14 Gupta, Sanjiv Kumar 12 Graham, Colin C. 12 Hare, Kevin G. 8 Roginskaya, Maria 7 Mendivil, Franklin 7 Ramsey, L. Thomas 5 Mohanty, Parasar 4 Cabrelli, Carlos A. 4 Garcia, Ignacio 4 Molter, Ursula Maria 4 Rönning, Jan-Olav 4 Troscheit, Sascha 4 Zuberman, Leandro 3 He, Jimmy 3 Klemes, Ivo 2 Bruggeman, Cameron 2 Grow, David E. 2 Johnstone, Daniel L. 2 Matthews, Kevin R. 2 Shen, Wanchun 2 Simms, Grant 2 Yee, Wai Ling 2 Zhou, Denglin 1 Bell, Jason P. 1 Cruttwell, G. S. H. 1 Dooley, Anthony Haynes 1 Fong, Victor Pok-Wai 1 Fraser, Jonathan MacDonald 1 Grinnell, Raymond J. 1 Körner, Thomas William 1 Mak, Cheuk Yu 1 Morris, B. P. M. 1 Ng, Ka-Shing 1 Ng, Michael Ka Shing 1 O’Neil, Toby C. 1 Ricci, Fulvio 1 Ritter, David L. 1 Rutar, Alex 1 Sato, Enji 1 Seyfaddini, Sobhan 1 Shallit, Jeffrey O. 1 Shirvani, Maziar 1 Skoufranis, Paul 1 Steinhurst, Benjamin 1 Stokolos, Alexander M. 1 Teplyaev, Alexander 1 Tomczak-Jaegermann, Nicole 1 Yamagishi, Shuntaro 1 Yang, Robert (Xu) 1 Yazdani, Saroosh 1 Yeats, Karen A. 1 Yu, Han
all top 5

### Serials

 12 Colloquium Mathematicum 11 Proceedings of the American Mathematical Society 7 Canadian Mathematical Bulletin 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Studia Mathematica 5 Journal of Mathematical Analysis and Applications 5 Real Analysis Exchange 4 Journal of the Australian Mathematical Society 3 Bulletin of the Australian Mathematical Society 3 Canadian Journal of Mathematics 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Transactions of the American Mathematical Society 3 Journal of the Australian Mathematical Society. Series A 3 The Journal of Fourier Analysis and Applications 3 The Asian Journal of Mathematics 3 Journal of Fractal Geometry 2 Nonlinearity 2 Arkiv för Matematik 2 Acta Scientiarum Mathematicarum 2 Glasgow Mathematical Journal 2 Mathematische Nachrichten 2 Revista Matemática Iberoamericana 2 Journal of Lie Theory 1 Israel Journal of Mathematics 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Acta Arithmetica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Mathematica Scandinavica 1 Mathematika 1 Pacific Journal of Mathematics 1 Ergodic Theory and Dynamical Systems 1 Acta Mathematica Hungarica 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Experimental Mathematics 1 Fractals 1 Mathematical Research Letters 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 International Journal of Pure and Applied Mathematics 1 CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Proceedings of the American Mathematical Society. Series B 1 Bollettino dell’Unione Matematica Italiana 1 Annales Fennici Mathematici
all top 5

### Fields

 78 Abstract harmonic analysis (43-XX) 45 Measure and integration (28-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 19 Topological groups, Lie groups (22-XX) 10 Global analysis, analysis on manifolds (58-XX) 8 Differential geometry (53-XX) 7 Number theory (11-XX) 4 Functional analysis (46-XX) 3 Nonassociative rings and algebras (17-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Operator theory (47-XX) 3 Numerical analysis (65-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Partial differential equations (35-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX)

### Citations contained in zbMATH Open

81 Publications have been cited 266 times in 150 Documents Cited by Year
Interpolation and Sidon sets for compact groups. Zbl 1267.43001
Graham, Colin C.; Hare, Kathryn E.
2013
Sums of Cantor sets. Zbl 0891.28001
Cabrelli, Carlos A.; Hare, Kathryn E.; Molter, Ursula M.
1997
Disconnected Julia sets and gaps in the spectrum of Laplacians on symmetric finitely ramified fractals. Zbl 1271.28005
Hare, Kathryn E.; Steinhurst, Benjamin A.; Teplyaev, Alexander; Zhou, Denglin
2012
$$L^2$$-singular dichotomy for orbital measures of classical compact Lie groups. Zbl 1179.43006
Gupta, Sanjiv Kumar; Hare, Kathryn E.
2009
The Assouad spectrum and the quasi-Assouad dimension: a tale of two spectra. Zbl 1410.28008
Fraser, Jonathan M.; Hare, Kathryn E.; Hare, Kevin G.; Troscheit, Sascha; Yu, Han
2019
The size of characters of compact Lie groups. Zbl 0946.43006
Hare, Kathryn E.
1998
Sums of Cantor sets yielding an interval. Zbl 1019.28002
Cabrelli, Carlos A.; Hare, Kathryn E.; Molter, Ursula M.
2002
$$L^{2}$$-singular dichotomy for orbital measures of classical simple Lie algebras. Zbl 1168.43003
Gupta, Sanjiv Kumar; Hare, Kathryn E.; Seyfaddini, Sobhan
2009
The size of $$L^ p$$-improving measures. Zbl 0678.43001
Graham, Colin C.; Hare, Kathryn E.; Ritter, David L.
1989
Assouad dimensions of complementary sets. Zbl 1405.28007
García, Ignacio; Hare, Kathryn; Mendivil, Franklin
2018
Convolutions of generic orbital measures in compact symmetric spaces. Zbl 1170.43004
Gupta, Sanjiv Kumar; Hare, Kathryn E.
2009
When is an automatic set an additive basis? Zbl 1437.11017
Bell, Jason; Hare, Kathryn; Shallit, Jeffrey
2018
On permutations of lacunary intervals. Zbl 0863.42016
Hare, Kathryn E.; Klemes, Ivo
1995
Singularity of orbits in classical Lie algebras. Zbl 1031.22004
Gupta, Sanjiv K.; Hare, Kathryn E.
2003
$$\varepsilon$$-Kronecker and $$I_0$$ sets in Abelian groups. I: Arithmetic properties of $$\varepsilon$$-Kronecker sets. Zbl 1105.43003
Graham, Colin C.; Hare, Kathryn E.
2006
Properties of Littlewood-Paley sets. Zbl 0691.43006
Hare, Kathryn E.; Klemes, Ivo
1989
The sizes of rearrangements of Cantor sets. Zbl 1267.28007
Hare, Kathryn E.; Mendivil, Franklin; Zuberman, Leandro
2013
Characterizing Sidon sets by interpolation properties of subsets. Zbl 1134.42307
Graham, Colin C.; Hare, Kathryn E.
2008
Pointwise estimates of the size of characters of compact Lie groups. Zbl 0994.43005
Hare, Kathryn E.; Wilson, David C.; Yee, Wai Ling
2000
A Fourier series formula for energy of measures with applications to Riesz products. Zbl 1049.28002
Hare, Kathryn E.; Roginskaya, Maria
2003
A characterization of $$L^ p$$-improving measures. Zbl 0664.43001
Hare, Kathryn E.
1988
The $$L^{2}$$-singular dichotomy for exceptional Lie groups and algebras. Zbl 1292.43010
Hare, K. E.; Johnstone, D. L.; Shi, F.; Yeung, W.-K.
2013
Local dimensions of measures of finite type II: measures without full support and with non-regular probabilities. Zbl 1457.28008
Hare, Kathryn; Hare, Kevin; Ng, Michael Ka Shing
2018
Gaps in the ratios of the spectra of Laplacians on fractals. Zbl 1187.35143
Hare, Kathryn E.; Zhou, Denglin
2009
$$I_0$$ sets in non-abelian groups. Zbl 1045.43010
Hare, Kathryn E.; Ramsey, L. Thomas
2003
Local dimensions of measures of finite type III – measures that are not equicontractive. Zbl 1376.28008
Hare, Kathryn E.; Hare, Kevin G.; Simms, Grant
2018
Classifying Cantor sets by their fractal dimensions. Zbl 1210.28006
Cabrelli, Carlos A.; Hare, Kathryn E.; Molter, Ursula M.
2010
Singularity of orbital measures in SU$$(n)$$. Zbl 1007.43009
Gupta, Sanjiv Kumar; Hare, Kathryn E.
2002
$$\varepsilon$$-Kronecker and $$I_0$$ sets in Abelian groups. II: Sparseness of products of $$\varepsilon$$-Kronecker sets. Zbl 1107.43005
Graham, Colin C.; Hare, Kathryn E.; Körner, Thomas W.
2006
$$N$$-fold sums of Cantor sets. Zbl 1024.28006
Hare, Kathryn E.; O’Neil, Toby C.
2000
$$\varepsilon$$-Kronecker and $$I_0$$ sets in abelian groups. IV: Interpolation by non-negative measures. Zbl 1138.43006
Graham, Colin C.; Hare, Kathryn E.
2006
Properties and examples of $$(L^ p,L^ q)$$ multipliers. Zbl 0655.43003
Hare, Kathryn E.
1989
The size of characters of exceptional Lie groups. Zbl 1065.22009
Hare, Kathryn E.; Yeats, Karen
2004
Local dimensions of measures of finite type. Zbl 1396.28011
Hare, Kathryn E.; Hare, Kevin G.; Matthews, Kevin R.
2016
$$\varepsilon$$-Kronecker and $$I_0$$ sets in Abelian groups. III: Interpolation by measures on small sets. Zbl 1086.43005
Graham, Colin C.; Hare, Kathryn E.
2005
Quasi-doubling of self-similar measures with overlaps. Zbl 1455.28006
Hare, Kathryn E.; Hare, Kevin G.; Troscheit, Sascha
2020
Smoothness of convolution powers of orbital measures on the symmetric space $$\mathrm{SU}(n)/\mathrm{SO}(n)$$. Zbl 1188.43009
Gupta, Sanjiv Kumar; Hare, Kathryn E.
2010
The smoothness of convolutions of zonal measures on compact symmetric spaces. Zbl 1267.43005
Gupta, Sanjiv K.; Hare, Kathryn E.
2013
Almost sure Assouad-like dimensions of complementary sets. Zbl 07373915
García, Ignacio; Hare, Kathryn; Mendivil, Franklin
2021
Central Sidonicity for compact Lie groups. Zbl 0820.43003
Hare, Kathryn E.
1995
A new type of Littlewood-Paley partition. Zbl 0799.43004
Hare, Kathryn E.; Klemes, Ivo
1992
Classifying Cantor sets by their multifractal spectrum. Zbl 1203.28003
Hare, Kathryn E.; Zuberman, Leandro
2010
Maximal functions with polynomial densities in lacunary directions. Zbl 1017.42010
Hare, Kathryn; Ricci, Fulvio
2003
Arithmetic properties of thin sets. Zbl 0603.43003
Hare, Kathryn E.
1988
Multifractal spectrum of self-similar measures with overlap. Zbl 1286.28008
Bruggeman, Cameron; Hare, Kathryn E.; Mak, Cheuk Yu
2014
The absolute continuity of convolutions of orbital measures in symmetric spaces. Zbl 1362.43007
Gupta, Sanjiv Kumar; Hare, Kathryn E.
2017
The dichotomy problem for orbital measures of $$SU(n)$$. Zbl 1090.22006
Gupta, Sanjiv; Hare, Kathryn E.
2005
Completely bounded $$\Lambda_p$$ sets that are not Sidon. Zbl 1347.43003
Hare, Kathryn; Mohanty, Parasar
2016
Characterizing the absolute continuity of the convolution of orbital measures in a classical Lie algebra. Zbl 1361.43005
Gupta, Sanjiv Kumar; Hare, Kathryn
2016
Lower Assouad dimension of measures and regularity. Zbl 1479.28010
Hare, Kathryn E.; Troscheit, Sascha
2021
García, Ignacio; Hare, Kathryn E.; Mendivil, Franklin
2021
Dimensions of fractals in the large. Zbl 1132.28308
Allen, M. R.; Cruttwell, G. S. H.; Hare, Kathryn E.; Rönning, J.-O.
2007
Self-affine measures that are $$L^{p}$$-improving. Zbl 1315.28006
Hare, Kathryn E.
2015
Maximal operators and Cantor sets. Zbl 0971.42011
Hare, Kathryn E.
2000
Quasi self-similarity and multifractal analysis of Cantor measures. Zbl 1035.28010
Hare, Kathryn E.; Yazdani, Saroosh
2002
The size of Max$$(p)$$ sets and density bases. Zbl 1036.42016
Hare, Kathryn E.; Rönning, Jan-Olav
2002
Lorentz-improving measures. Zbl 0795.43001
Grinnell, Raymond J.; Hare, Kathryn E.
1994
Applications of generalized Perron trees to maximal functions and density bases. Zbl 0911.42010
Hare, Kathryn E.; Rönning, Jan-Olav
1998
Weighted $$p$$-Sidon sets. Zbl 0874.43005
Hare, K. E.; Wilson, D. C.
1996
The size of $$(L^ 2,L^ p)$$ multipliers. Zbl 0795.43005
Hare, Kathryn E.
1992
A structural criterion for the existence of infinite central $$\Lambda(p)$$ sets. Zbl 0796.43003
Hare, Kathryn E.; Wilson, David C.
1993
$$I_{0}$$ sets for compact, connected groups: Interpolation with measures that are nonnegative or of small support. Zbl 1149.42004
Graham, Colin C.; Hare, Kathryn E.
2008
Some Banach space properties of translation invariant subspaces of $$L^ p$$. Zbl 0685.46017
Hare, Kathryn E.; Tomczak-Jaegermann, Nicole
1989
The independence of characters on non-abelian groups. Zbl 1048.43005
Grow, David; Hare, Kathryn E.
2004
On convolution squares of singular measures. Zbl 1052.43001
Gupta, Sanjiv K.; Hare, Kathryn E.
2004
$$L^p$$-improving properties of measures of positive energy dimension. Zbl 1065.43002
Hare, Kathryn E.; Roginskaya, Maria
2005
A generalization of a theorem of Erdős-Rényi to $$m$$-fold sums and differences. Zbl 1306.11060
Hare, Kathryn E.; Yamagishi, Shuntaro
2014
On $$L^p$$-improving measures. Zbl 1440.42021
Dooley, Anthony H.; Hare, Kathryn E.; Roginskaya, Maria
2016
The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces. Zbl 1366.43005
Hare, Kathryn E.; He, Jimmy
2017
Local dimensions of overlapping self-similar measures. Zbl 1440.28010
Hare, Kathryn E.; Hare, Kevin G.
2019
Measures with specified support and arbitrary Assouad dimensions. Zbl 1443.28004
Hare, Kathryn E.; Mendivil, Franklin; Zuberman, Leandro
2020
The smoothness of orbital measures on exceptional Lie groups and algebras. Zbl 1241.43006
Hare, Kathryn; Skoufranis, Paul
2011
Existence of large $$\varepsilon$$-Kronecker and $$FZI_0(U)$$ sets in discrete abelian groups. Zbl 1277.43010
Graham, Colin C.; Hare, Kathryn E.
2012
Exact Kronecker constants of Hadamard sets. Zbl 1275.42003
Hare, Kathryn E.; Ramsey, L. Thomas
2013
Multipliers of spherical harmonics and energy of measures on the sphere. Zbl 1034.43007
Hare, Kathryn E.; Roginskaya, Maria
2003
The entropy of Cantor-like measures. Zbl 1449.28007
Hare, K. E.; Hare, K. G.; Morris, B. P. M.; Shen, W.
2019
Smoothness of convolution products of orbital measures on rank one compact symmetric spaces. Zbl 1356.43005
Hare, Kathryn E.; He, Jimmy
2016
Kronecker constants for finite subsets of integers. Zbl 1253.43003
Hare, Kathryn E.; Ramsey, L. Thomas
2012
The ubiquity of Sidon sets that are not $$I_0$$. Zbl 1399.43013
Hare, Kathryn E.; Ramsey, L. Thomas
2016
The relationship between $$\epsilon$$-Kronecker sets and sidon sets. Zbl 1353.43006
Hare, Kathryn; Ramsey, L. Thomas
2016
Properties of quasi-Assouad dimension. Zbl 1479.28006
García, Ignacio; Hare, Kathryn
2021
Almost sure Assouad-like dimensions of complementary sets. Zbl 07373915
García, Ignacio; Hare, Kathryn; Mendivil, Franklin
2021
Lower Assouad dimension of measures and regularity. Zbl 1479.28010
Hare, Kathryn E.; Troscheit, Sascha
2021
García, Ignacio; Hare, Kathryn E.; Mendivil, Franklin
2021
Properties of quasi-Assouad dimension. Zbl 1479.28006
García, Ignacio; Hare, Kathryn
2021
Quasi-doubling of self-similar measures with overlaps. Zbl 1455.28006
Hare, Kathryn E.; Hare, Kevin G.; Troscheit, Sascha
2020
Measures with specified support and arbitrary Assouad dimensions. Zbl 1443.28004
Hare, Kathryn E.; Mendivil, Franklin; Zuberman, Leandro
2020
The Assouad spectrum and the quasi-Assouad dimension: a tale of two spectra. Zbl 1410.28008
Fraser, Jonathan M.; Hare, Kathryn E.; Hare, Kevin G.; Troscheit, Sascha; Yu, Han
2019
Local dimensions of overlapping self-similar measures. Zbl 1440.28010
Hare, Kathryn E.; Hare, Kevin G.
2019
The entropy of Cantor-like measures. Zbl 1449.28007
Hare, K. E.; Hare, K. G.; Morris, B. P. M.; Shen, W.
2019
Assouad dimensions of complementary sets. Zbl 1405.28007
García, Ignacio; Hare, Kathryn; Mendivil, Franklin
2018
When is an automatic set an additive basis? Zbl 1437.11017
Bell, Jason; Hare, Kathryn; Shallit, Jeffrey
2018
Local dimensions of measures of finite type II: measures without full support and with non-regular probabilities. Zbl 1457.28008
Hare, Kathryn; Hare, Kevin; Ng, Michael Ka Shing
2018
Local dimensions of measures of finite type III – measures that are not equicontractive. Zbl 1376.28008
Hare, Kathryn E.; Hare, Kevin G.; Simms, Grant
2018
The absolute continuity of convolutions of orbital measures in symmetric spaces. Zbl 1362.43007
Gupta, Sanjiv Kumar; Hare, Kathryn E.
2017
The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces. Zbl 1366.43005
Hare, Kathryn E.; He, Jimmy
2017
Local dimensions of measures of finite type. Zbl 1396.28011
Hare, Kathryn E.; Hare, Kevin G.; Matthews, Kevin R.
2016
Completely bounded $$\Lambda_p$$ sets that are not Sidon. Zbl 1347.43003
Hare, Kathryn; Mohanty, Parasar
2016
Characterizing the absolute continuity of the convolution of orbital measures in a classical Lie algebra. Zbl 1361.43005
Gupta, Sanjiv Kumar; Hare, Kathryn
2016
On $$L^p$$-improving measures. Zbl 1440.42021
Dooley, Anthony H.; Hare, Kathryn E.; Roginskaya, Maria
2016
Smoothness of convolution products of orbital measures on rank one compact symmetric spaces. Zbl 1356.43005
Hare, Kathryn E.; He, Jimmy
2016
The ubiquity of Sidon sets that are not $$I_0$$. Zbl 1399.43013
Hare, Kathryn E.; Ramsey, L. Thomas
2016
The relationship between $$\epsilon$$-Kronecker sets and sidon sets. Zbl 1353.43006
Hare, Kathryn; Ramsey, L. Thomas
2016
Self-affine measures that are $$L^{p}$$-improving. Zbl 1315.28006
Hare, Kathryn E.
2015
Multifractal spectrum of self-similar measures with overlap. Zbl 1286.28008
Bruggeman, Cameron; Hare, Kathryn E.; Mak, Cheuk Yu
2014
A generalization of a theorem of Erdős-Rényi to $$m$$-fold sums and differences. Zbl 1306.11060
Hare, Kathryn E.; Yamagishi, Shuntaro
2014
Interpolation and Sidon sets for compact groups. Zbl 1267.43001
Graham, Colin C.; Hare, Kathryn E.
2013
The sizes of rearrangements of Cantor sets. Zbl 1267.28007
Hare, Kathryn E.; Mendivil, Franklin; Zuberman, Leandro
2013
The $$L^{2}$$-singular dichotomy for exceptional Lie groups and algebras. Zbl 1292.43010
Hare, K. E.; Johnstone, D. L.; Shi, F.; Yeung, W.-K.
2013
The smoothness of convolutions of zonal measures on compact symmetric spaces. Zbl 1267.43005
Gupta, Sanjiv K.; Hare, Kathryn E.
2013
Exact Kronecker constants of Hadamard sets. Zbl 1275.42003
Hare, Kathryn E.; Ramsey, L. Thomas
2013
Disconnected Julia sets and gaps in the spectrum of Laplacians on symmetric finitely ramified fractals. Zbl 1271.28005
Hare, Kathryn E.; Steinhurst, Benjamin A.; Teplyaev, Alexander; Zhou, Denglin
2012
Existence of large $$\varepsilon$$-Kronecker and $$FZI_0(U)$$ sets in discrete abelian groups. Zbl 1277.43010
Graham, Colin C.; Hare, Kathryn E.
2012
Kronecker constants for finite subsets of integers. Zbl 1253.43003
Hare, Kathryn E.; Ramsey, L. Thomas
2012
The smoothness of orbital measures on exceptional Lie groups and algebras. Zbl 1241.43006
Hare, Kathryn; Skoufranis, Paul
2011
Classifying Cantor sets by their fractal dimensions. Zbl 1210.28006
Cabrelli, Carlos A.; Hare, Kathryn E.; Molter, Ursula M.
2010
Smoothness of convolution powers of orbital measures on the symmetric space $$\mathrm{SU}(n)/\mathrm{SO}(n)$$. Zbl 1188.43009
Gupta, Sanjiv Kumar; Hare, Kathryn E.
2010
Classifying Cantor sets by their multifractal spectrum. Zbl 1203.28003
Hare, Kathryn E.; Zuberman, Leandro
2010
$$L^2$$-singular dichotomy for orbital measures of classical compact Lie groups. Zbl 1179.43006
Gupta, Sanjiv Kumar; Hare, Kathryn E.
2009
$$L^{2}$$-singular dichotomy for orbital measures of classical simple Lie algebras. Zbl 1168.43003
Gupta, Sanjiv Kumar; Hare, Kathryn E.; Seyfaddini, Sobhan
2009
Convolutions of generic orbital measures in compact symmetric spaces. Zbl 1170.43004
Gupta, Sanjiv Kumar; Hare, Kathryn E.
2009
Gaps in the ratios of the spectra of Laplacians on fractals. Zbl 1187.35143
Hare, Kathryn E.; Zhou, Denglin
2009
Characterizing Sidon sets by interpolation properties of subsets. Zbl 1134.42307
Graham, Colin C.; Hare, Kathryn E.
2008
$$I_{0}$$ sets for compact, connected groups: Interpolation with measures that are nonnegative or of small support. Zbl 1149.42004
Graham, Colin C.; Hare, Kathryn E.
2008
Dimensions of fractals in the large. Zbl 1132.28308
Allen, M. R.; Cruttwell, G. S. H.; Hare, Kathryn E.; Rönning, J.-O.
2007
$$\varepsilon$$-Kronecker and $$I_0$$ sets in Abelian groups. I: Arithmetic properties of $$\varepsilon$$-Kronecker sets. Zbl 1105.43003
Graham, Colin C.; Hare, Kathryn E.
2006
$$\varepsilon$$-Kronecker and $$I_0$$ sets in Abelian groups. II: Sparseness of products of $$\varepsilon$$-Kronecker sets. Zbl 1107.43005
Graham, Colin C.; Hare, Kathryn E.; Körner, Thomas W.
2006
$$\varepsilon$$-Kronecker and $$I_0$$ sets in abelian groups. IV: Interpolation by non-negative measures. Zbl 1138.43006
Graham, Colin C.; Hare, Kathryn E.
2006
$$\varepsilon$$-Kronecker and $$I_0$$ sets in Abelian groups. III: Interpolation by measures on small sets. Zbl 1086.43005
Graham, Colin C.; Hare, Kathryn E.
2005
The dichotomy problem for orbital measures of $$SU(n)$$. Zbl 1090.22006
Gupta, Sanjiv; Hare, Kathryn E.
2005
$$L^p$$-improving properties of measures of positive energy dimension. Zbl 1065.43002
Hare, Kathryn E.; Roginskaya, Maria
2005
The size of characters of exceptional Lie groups. Zbl 1065.22009
Hare, Kathryn E.; Yeats, Karen
2004
The independence of characters on non-abelian groups. Zbl 1048.43005
Grow, David; Hare, Kathryn E.
2004
On convolution squares of singular measures. Zbl 1052.43001
Gupta, Sanjiv K.; Hare, Kathryn E.
2004
Singularity of orbits in classical Lie algebras. Zbl 1031.22004
Gupta, Sanjiv K.; Hare, Kathryn E.
2003
A Fourier series formula for energy of measures with applications to Riesz products. Zbl 1049.28002
Hare, Kathryn E.; Roginskaya, Maria
2003
$$I_0$$ sets in non-abelian groups. Zbl 1045.43010
Hare, Kathryn E.; Ramsey, L. Thomas
2003
Maximal functions with polynomial densities in lacunary directions. Zbl 1017.42010
Hare, Kathryn; Ricci, Fulvio
2003
Multipliers of spherical harmonics and energy of measures on the sphere. Zbl 1034.43007
Hare, Kathryn E.; Roginskaya, Maria
2003
Sums of Cantor sets yielding an interval. Zbl 1019.28002
Cabrelli, Carlos A.; Hare, Kathryn E.; Molter, Ursula M.
2002
Singularity of orbital measures in SU$$(n)$$. Zbl 1007.43009
Gupta, Sanjiv Kumar; Hare, Kathryn E.
2002
Quasi self-similarity and multifractal analysis of Cantor measures. Zbl 1035.28010
Hare, Kathryn E.; Yazdani, Saroosh
2002
The size of Max$$(p)$$ sets and density bases. Zbl 1036.42016
Hare, Kathryn E.; Rönning, Jan-Olav
2002
Pointwise estimates of the size of characters of compact Lie groups. Zbl 0994.43005
Hare, Kathryn E.; Wilson, David C.; Yee, Wai Ling
2000
$$N$$-fold sums of Cantor sets. Zbl 1024.28006
Hare, Kathryn E.; O&rsquo;Neil, Toby C.
2000
Maximal operators and Cantor sets. Zbl 0971.42011
Hare, Kathryn E.
2000
The size of characters of compact Lie groups. Zbl 0946.43006
Hare, Kathryn E.
1998
Applications of generalized Perron trees to maximal functions and density bases. Zbl 0911.42010
Hare, Kathryn E.; Rönning, Jan-Olav
1998
Sums of Cantor sets. Zbl 0891.28001
Cabrelli, Carlos A.; Hare, Kathryn E.; Molter, Ursula M.
1997
Weighted $$p$$-Sidon sets. Zbl 0874.43005
Hare, K. E.; Wilson, D. C.
1996
On permutations of lacunary intervals. Zbl 0863.42016
Hare, Kathryn E.; Klemes, Ivo
1995
Central Sidonicity for compact Lie groups. Zbl 0820.43003
Hare, Kathryn E.
1995
Lorentz-improving measures. Zbl 0795.43001
Grinnell, Raymond J.; Hare, Kathryn E.
1994
A structural criterion for the existence of infinite central $$\Lambda(p)$$ sets. Zbl 0796.43003
Hare, Kathryn E.; Wilson, David C.
1993
A new type of Littlewood-Paley partition. Zbl 0799.43004
Hare, Kathryn E.; Klemes, Ivo
1992
The size of $$(L^ 2,L^ p)$$ multipliers. Zbl 0795.43005
Hare, Kathryn E.
1992
The size of $$L^ p$$-improving measures. Zbl 0678.43001
Graham, Colin C.; Hare, Kathryn E.; Ritter, David L.
1989
Properties of Littlewood-Paley sets. Zbl 0691.43006
Hare, Kathryn E.; Klemes, Ivo
1989
Properties and examples of $$(L^ p,L^ q)$$ multipliers. Zbl 0655.43003
Hare, Kathryn E.
1989
Some Banach space properties of translation invariant subspaces of $$L^ p$$. Zbl 0685.46017
Hare, Kathryn E.; Tomczak-Jaegermann, Nicole
1989
A characterization of $$L^ p$$-improving measures. Zbl 0664.43001
Hare, Kathryn E.
1988
Arithmetic properties of thin sets. Zbl 0603.43003
Hare, Kathryn E.
1988
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### Cited by 177 Authors

 45 Hare, Kathryn E. 10 Gupta, Sanjiv Kumar 8 Teplyaev, Alexander 6 Garcia, Ignacio 6 Hare, Kevin G. 5 Fraser, Jonathan MacDonald 5 Graham, Colin C. 5 Shmerkin, Pablo S. 5 Troscheit, Sascha 4 Mendivil, Franklin 4 Shallit, Jeffrey O. 4 Strichartz, Robert S. 3 Bell, Jason P. 3 He, Jimmy 3 Molter, Ursula Maria 3 Qiu, Hua 3 Ricker, Werner Joseph 2 Anchouche, Boudjemaa 2 Ayoush, Rami 2 Bakas, Odysseas 2 Bartoszewicz, Artur 2 Cabrelli, Carlos A. 2 Cao, Shiping 2 Chen, Haipeng 2 Ferrer, Maria Vicenta 2 Filipczak, Małgorzata 2 Hernández, Salvador 2 Kelleher, Daniel J. 2 Klemes, Ivo 2 Le, Anh Ngoc 2 Lebedev, Vladimir Vladimirovich 2 Mockenhaupt, Gerd 2 Mohanty, Parasar 2 Ngai, Sze-Man 2 Pisier, Gilles 2 Ramsey, L. Thomas 2 Roginskaya, Maria 2 Sato, Enji 2 Simms, Grant 2 Suomala, Ville 2 Tárrega, Luis 2 Wojciechowski, Michał 2 Zuberman, Leandro 1 Akhiezer, Dmitriĭ Naumovich 1 Albayrak, Seda 1 Applebaum, David B. 1 Athreya, Jayadev S. 1 Balcerzak, Marek 1 Bandt, Christoph 1 Bateman, Michael D. 1 Behme, Anita Diana 1 Belegradek, Igor 1 Ben Mabrouk, Anouar 1 Bienvenu, Pierre-Yves 1 Bisbas, Antonis 1 Bourgain, Jean 1 Brzoska, Antoni 1 Byszewski, Jakub 1 Chan, John Fun-Choi 1 Chang, Alan 1 Chang, Yuanyang 1 Chen, Joe Po-Chou 1 Chou, Ching 1 D’Aniello, Emma 1 de Dios Pont, Jaume 1 de Lima, Bernardo N. B. 1 del Campo, Ricardo 1 Demeter, Ciprian 1 Deng, Dawen 1 Drenning, Shawn 1 Eberhard, Sean 1 Falconer, Kenneth J. 1 Fan, Ai Hua 1 Feng, De-Jun 1 Fernández Carrión, Antonio 1 Filali, Mahmoud 1 Filipczak, Tomasz 1 Fleischer, Lukas 1 Fofana, Ibrahim 1 Galindo, Jorge 1 Glendinning, Paul Alexander 1 Grabner, Peter J. 1 Greenfeld, Rachel 1 Gressman, Philip T. 1 Grinnell, Raymond J. 1 Grow, David E. 1 Guo, Yinan 1 Guralnick, Robert Michael 1 Hatori, Osamu 1 Hennecart, François 1 Hernández, Sergio A. 1 Hinz, Michael 1 Howroyd, Douglas C. 1 Huang, Yiqi 1 Igari, Satoru 1 Izumi, Takashi 1 Jamneshan, Asgar 1 Jiang, Kan 1 Jiang, Zixin 1 Johnstone, Daniel L. ...and 77 more Authors
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### Cited in 74 Serials

 9 Journal of Mathematical Analysis and Applications 6 Mathematische Zeitschrift 6 Proceedings of the American Mathematical Society 5 Journal of Functional Analysis 5 Monatshefte für Mathematik 5 Transactions of the American Mathematical Society 4 Annales de l’Institut Fourier 4 The Journal of Fourier Analysis and Applications 4 Journal of the Australian Mathematical Society 3 Bulletin of the Australian Mathematical Society 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Canadian Mathematical Bulletin 3 Fractals 3 Journal of Fractal Geometry 2 Journal d’Analyse Mathématique 2 Journal of Mathematical Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nonlinearity 2 Studia Mathematica 2 Arkiv för Matematik 2 Chaos, Solitons and Fractals 2 Colloquium Mathematicum 2 Duke Mathematical Journal 2 Functional Analysis and its Applications 2 Glasgow Mathematical Journal 2 Journal of Number Theory 2 Quaestiones Mathematicae 2 Tohoku Mathematical Journal. Second Series 2 Ergodic Theory and Dynamical Systems 2 Revista Matemática Iberoamericana 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Discrete and Continuous Dynamical Systems 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Annales Fennici Mathematici 1 American Mathematical Monthly 1 Communications on Pure and Applied Mathematics 1 Letters in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Acta Arithmetica 1 The Annals of Probability 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Integral Equations and Operator Theory 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Real Analysis Exchange 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Probability Theory and Related Fields 1 International Journal of Foundations of Computer Science 1 Stochastic Processes and their Applications 1 Expositiones Mathematicae 1 Indagationes Mathematicae. New Series 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Experimental Mathematics 1 St. Petersburg Mathematical Journal 1 Annales Mathématiques Blaise Pascal 1 Journal of Lie Theory 1 Representation Theory 1 Theory of Computing Systems 1 Journal of Automata, Languages and Combinatorics 1 Abstract and Applied Analysis 1 Positivity 1 Communications on Pure and Applied Analysis 1 Central European Journal of Mathematics 1 Analysis in Theory and Applications 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis and Geometry in Metric Spaces 1 European Journal of Mathematics 1 Proceedings of the American Mathematical Society. Series B 1 Bollettino dell’Unione Matematica Italiana
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### Cited in 35 Fields

 63 Measure and integration (28-XX) 54 Abstract harmonic analysis (43-XX) 30 Harmonic analysis on Euclidean spaces (42-XX) 22 Number theory (11-XX) 19 Topological groups, Lie groups (22-XX) 16 Probability theory and stochastic processes (60-XX) 15 Dynamical systems and ergodic theory (37-XX) 14 Operator theory (47-XX) 12 Partial differential equations (35-XX) 9 Potential theory (31-XX) 9 Differential geometry (53-XX) 9 Global analysis, analysis on manifolds (58-XX) 7 Functional analysis (46-XX) 5 Quantum theory (81-XX) 4 Combinatorics (05-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 General topology (54-XX) 4 Computer science (68-XX) 3 Convex and discrete geometry (52-XX) 3 Numerical analysis (65-XX) 2 Nonassociative rings and algebras (17-XX) 2 Group theory and generalizations (20-XX) 2 Ordinary differential equations (34-XX) 2 Sequences, series, summability (40-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX)