26 citations · 52 across the 8 of their papers we have counts for
5 papers · 1 filter
Some Problems in Harmonic Analysis
Loukas Grafakos, Diogo Oliveira e Silva, Malabika Pramanik +2
In May 2016, we organized a conference in harmonic analysis in honor of Professor Michael Christ, on the campus of the University of Wisconsin in Madison. We are happy to present s…
On necklaces inside thin subsets of
Allan Greenleaf, Alex Iosevich, Malabika Pramanik
We study similarity classes of point configurations in . Given a finite collection of points, a well-known question is: How high does the Hausdorff dimension $\hd(E)$ of a co…
Lacunarity, Kakeya-type sets and directional maximal operators
Edward Kroc, Malabika Pramanik
We develop a notion of finite order lacunarity for direction sets in . Given a direction set that is sublacunary according to this definition, we construct ran…
Kakeya-type sets over Cantor sets of directions in
Edward Kroc, Malabika Pramanik
Given a Cantor-type subset of a smooth curve in , we construct examples of sets that contain unit line segments with directions from and exhibit analytical…
A multi-dimensional resolution of singularities with applications to analysis
Tristan Collins, Allan Greenleaf, Malabika Pramanik
We formulate a resolution of singularities algorithm for analyzing the zero sets of real-analytic functions in dimensions . Rather than using the celebrated result of Hiron…