Jacob Denson

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 $I^¼$ satisfying the Fourier decay bo…

math.CA2024

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…

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…