Search Results - "Hare, Kathryn E."

The absolute continuity of convolutions of orbital measures in SO(2n+1) by Hare, Kathryn E.

“…Let G be a compact Lie group of Lie type B n , such as S O ( 2 n + 1 ) . We characterize the tuples ( x 1 , … , x L ) of the elements x j ∈ G which have the…”
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THE SMOOTHNESS OF ORBITAL MEASURES ON NONCOMPACT SYMMETRIC SPACES by GUPTA, SANJIV KUMAR, HARE, KATHRYN E.

“…Let $G/K$ be an irreducible symmetric space, where G is a noncompact, connected Lie group and K is a compact, connected subgroup. We use decay properties of…”
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Transferring spherical multipliers on compact symmetric spaces by Gupta, Sanjiv Kumar, Hare, Kathryn E.

“…We prove a two-sided transference theorem between L p spherical multipliers on the compact symmetric space U / K and L p multipliers on the vector space i p ,…”
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The absolute continuity of convolutions of orbital measures in symmetric spaces by Gupta, Sanjiv Kumar, Hare, Kathryn E.

“…We characterize the absolute continuity of convolution products of orbital measures on the classical, irreducible Riemannian symmetric spaces G/K of Cartan…”
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A geometric proof of the L 2 -singular dichotomy for orbital measures on Lie algebras and groups by Hare, Kathryn E, He, Jimmy

“…Let G be a compact, connected simple Lie group and g its Lie algebra. It is known that if μ is any G-invariant measure supported on an adjoint orbit in g, then…”
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The absolute continuity of convolution products of orbital measures in exceptional symmetric spaces by Hare, Kathryn E., He, Jimmy

“…Let G be a non-compact group, K the compact subgroup fixed by a Cartan involution and assume G  /  K is an exceptional, symmetric space, one of Cartan type E…”
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Local dimensions of random homogeneous self‐similar measures: strong separation and finite type by Hare, Kathryn E., Hare, Kevin G., Troscheit, Sascha

“…We study the multifractal analysis of self‐similar measures arising from random homogeneous iterated function systems. Under the assumption of the uniform…”
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The independence of characters on non-abelian groups by Grow, David, Hare, Kathryn E.

“…We show that there are characters of compact, connected, non-abelian groups that approximate random choices of signs. The work was motivated by Kronecker's…”
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A Fourier series formula for energy of measures with applications to Riesz products by Hare, Kathryn E., Roginskaya, Maria

“…In this paper we derive a formula relating the energy and the Fourier transform of a finite measure on the d-dimensional torus which is similar to the…”
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The energy of signed measures by Hare, Kathryn E., Roginskaya, Maria

“…We generalize the concept of energy to complex measures of finite variation. We show that although the energy dimension of a measure can exceed that of its…”
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CLASSIFYING CANTOR SETS BY THEIR FRACTAL DIMENSIONS by CABRELLI, CARLOS A., HARE, KATHRYN E., MOLTER, URSULA M.

“…In this article we study Cantor sets defined by monotone sequences, in the sense of Besicovich and Taylor. We classify these Cantor sets in terms of their…”
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Directional maximal operators with smooth densities by Hare, Kathryn E., Roginskaya, Maria

“…We study directional maximal operators on ℝn with smooth densities. We prove that if the classical directional maximal operator in a given set of directions is…”
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Assouad-like dimensions of a class of random Moran measures by Hare, Kathryn E., Mendivil, Franklin

“…In this paper, we determine the almost sure values of the Φ-dimensions of random measures supported on random Moran sets that have a homogeneity property and…”
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Characterizations of Classes of $I_0$ Sets in Discrete Abelian Groups by Graham, Colin C., Hare, Kathryn E.

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Assouad-like dimensions of a class of random Moran measures. II. Non-homogeneous Moran sets by Hare, Kathryn E., Mendivil, Franklin

“…In this paper, we determine the almost sure values of the \Phi -dimensions of random measures \mu supported on random Moran sets in {\mathbb{R}}^d that satisfy…”
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A geometric proof of the $$L^{2}$$L2-singular dichotomy for orbital measures on Lie algebras and groups by Hare, Kathryn E., He, Jimmy

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A geometric proof of the L2-singular dichotomy for orbital measures on Lie algebras and groups by Hare, Kathryn E., He, Jimmy

“…Let G be a compact, connected simple Lie group and g its Lie algebra. It is known that if μ is any G -invariant measure supported on an adjoint orbit in g ,…”
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Singularity of orbital measures in SU(n) by Gupta, Sanjiv Kumar, Hare, Kathryn E.

“…We show that the minimalk such that μκ ∈L1(SU(n)) for all central, continuous measures μ on SU(n) isk=n. We do this by exhibiting an elementg∈SU(n) for which…”
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The smoothness of convolutions of zonal measures on compact symmetric spaces by Gupta, Sanjiv K., Hare, Kathryn E.

“…We prove that for every irreducible, compact symmetric space, Gc/K, of rank r, the convolution of any (2r+1) continuous, K-bi-invariant measures is absolutely…”
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Intermediate Assouad-like dimensions by García, Ignacio, Hare, Kathryn E., Mendivil, Franklin

“…We study a class of bi-Lipschitz-invariant dimensions that range between the box and Assouad dimensions. The quasi-Assouad dimensions and \theta -Assouad…”
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