Jacob Denson

activity

20192026

collaborators

3 papers

math.CA2026

The Maximum Codimension of a Salem Submanifold

Jacob Denson

We determine a geometric condition necessary and sufficient for an $m$ -dimensional manifold in Euclidean space to support a probability measure $μ$ satisfying the Fourier decay bou…

math.CA2024

Multipliers for spherical harmonic expansions

Jacob Denson

For any bounded, regulated function $m : [0, \infty) \to C$ , consider the family of operators ${T_{R}}$ on the sphere $S^{d}$ such that $T_{R} f = m (k / R) f$ for any spherical…

math.CA2019

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…