10 citations · 10 across the 5 of their papers we have counts for
6 papers
Space curve Fourier restriction for orthonormal functions
Jean-Claude Cuenin, Jacob Denson, Jonathan Hickman
We prove a variant of the Fourier restriction inequality for non-degenerate curves in the setting of orthonormal systems. To achieve this, we develop a Hilbert space approach…
The Maximum Codimension of a Salem Submanifold
Jacob Denson
We determine a geometric condition necessary and sufficient for an -dimensional manifold in Euclidean space to support a probability measure satisfying the Fourier decay bou…
Multipliers for spherical harmonic expansions
Jacob Denson
For any bounded, regulated function , consider the family of operators on the sphere such that for any spherical…
Large Salem Sets Avoiding Nonlinear Configurations
Jacob Denson
We construct large Salem sets avoiding patterns, complementing previous constructions of pattern avoiding sets with large Hausdorff dimension. For a (possibly uncountable) family o…
Cartesian Products Avoiding Patterns
Jacob Denson
The pattern avoidance problem seeks to construct a set with large fractal dimension that avoids a prescribed pattern, such as three term arithmetic progressions, or more general pa…
Large Sets Avoiding Rough Patterns
Jacob Denson, Malabika Pramanik, Joshua Zahl
The pattern avoidance problem seeks to construct a set with large dimension that avoids a prescribed pattern. Examples of such patterns include three-term a…